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Artikel in Zeitschriften

Benner, Peter ; Dolgov, Sergey ; Khoromskaia, Venera and Boris N. Khoromskij: Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation
In: Journal of computational physics, 334 (2017), p. 221-239
MIS-Preprint: 14/2016 DOI: 10.1016/j.jcp.2016.12.047 ARXIV: http://arxiv.org/abs/1602.02646
Hackbusch, Wolfgang and André Uschmajew: On the interconnection between the higher-order singular values of real tensors
In: Numerische Mathematik, 135 (2017) 3, p. 875-894
MIS-Preprint: 62/2015 DOI: 10.1007/s00211-016-0819-9
Benner, Peter ; Khoromskaia, Venera and Boris N. Khoromskij: A reduced basis approach for calculation of the Bethe-Salpeter excitation energies using low-rank tensor factorizations
In: Molecular physics, 114 (2016) 7-8, p. 1148-1161
MIS-Preprint: 32/2015 DOI: 10.1080/00268976.2016.1149241
Etter, Simon ; Dolgov, Sergey and Boris N. Khoromskij: Erratum: Two-level QTT-Tucker format for optimized tensor calculus [SIAM Journal on matrix analysis and applications, vol. 34, 2013]
In: SIAM journal on matrix analysis and applications, 37 (2016) 2, p. 818-822
DOI: 10.1137/15M104089X
Falcó, Antonio ; Hackbusch, Wolfgang and Anthony Nouy: On the Dirac-Frenkel variational principle on tensor Banach spaces
ARXIV: https://arxiv.org/abs/1610.09865
Gittel, Hans-Peter ; Grosse, Harald ; Hackbusch, Wolfgang and Hoang Huan Phu: Special issue dedicated to Eberhard Zeidler's 75th birthday : preface
In: Vietnam journal of mathematics, 44 (2016) 1, p. 1-3
DOI: 10.1007/s10013-016-0187-x
Hackbusch, Wolfgang: New estimates for the recursive low-rank truncation of block-structured matrices
In: Numerische Mathematik, 132 (2016) 2, p. 303-328
MIS-Preprint: 34/2014 DOI: 10.1007/s00211-015-0716-7
Hackbusch, Wolfgang: Survey on the technique of hierarchical matrices
In: Vietnam journal of mathematics, 44 (2016) 1, p. 71-101
DOI: 10.1007/s10013-015-0168-5
Hackbusch, Wolfgang ; Kressner, Daniel and André Uschmajew: Perturbation of higher-order singular values
In: SIAM Journal on applied algebra and geometry, Vol. not yet known, pp. not yet known
MIS-Preprint: 51/2016
Khoromskaia, Venera and Boris N. Khoromskij: Fast tensor method for summation of long-range potentials on 3D lattices with defects
In: Numerical linear algebra with applications, 23 (2016) 2, p. 249-271
MIS-Preprint: 65/2015 DOI: 10.1002/nla.2023
Khoromskij, Boris N. and Alexander Veit: Efficient computation of highly oscillatory integrals by using QTT tensor approximation
In: Computational methods in applied mathematics, 16 (2016) 1, p. 145-159
DOI: 10.1515/cmam-2015-0033 ARXIV: http://arxiv.org/abs/1408.5224
Mantzaflaris, Angelos ; Jüttler, Bert ; Khoromskij, Boris N. and Ulrich Langer: Low rank tensor methods in Galerkin-based isogeometric analysis
In: Computer methods in applied mechanics and engineering, Vol. not yet known, pp. not yet known
MIS-Preprint: 35/2016 DOI: 10.1016/j.cma.2016.11.013
Motamarri, Phani ; Gavini, Vikram and Thomas Blesgen: Tucker-tensor algorithm for large-scale Kohn-Sham density functional theory calculations
In: Physical review / B, 93 (2016) 12, 125104
DOI: 10.1103/PhysRevB.93.125104
Budkov, Yurij A. ; Kolesnikov, Andrey L. ; Georgi, Nikolaj and M. Kiselev: A flexible polymer chain in a critical solvent : coil or globule?
In: epl, 109 (2015) 3, 36005
DOI: 10.1209/0295-5075/109/36005 ARXIV: http://arxiv.org/abs/1411.2866
Budkov, Yurij A. ; Kolesnikov, Andrey L. ; Georgi, Nikolaj ; Nogovitsyn, Evgeny A. and M. Kiselev: A new equation of state of a flexible-chain polyelectrolyte solution : phase equilibria and osmotic pressure in the salt-free case
In: The journal of chemical physics, 142 (2015) 17, 174901
DOI: 10.1063/1.4919251 ARXIV: http://arxiv.org/abs/1501.01235
Budkov, Yurij A. ; Kolesnikov, Andrey L. ; Georgi, Nikolaj ; Nogovitsyn, Evgeny A. and M. Kiselev: Erratum: 'A new equation of state of a flexible-chain polyelectrolyte solution : phase equilibria and osmotic pressure in the salt-free case' [J. Chem. Phys. 142, 174901 (2015)]
In: The journal of chemical physics, 143 (2015) 18, 189903
DOI: 10.1063/1.4935827 ARXIV: http://arxiv.org/abs/1501.01235
Chinnamsetty, Sambasiva Rao ; Espig, Mike and Wolfgang Hackbusch: Mesh-free canonical tensor products for six-dimensional density matrix : computation of kinetic energy
In: Computing and visualization in science, 17 (2015) 6, p. 267-275
MIS-Preprint: 70/2013 DOI: 10.1007/s00791-016-0263-5
Chuev, Gennady N. ; Vyalov, Ivan and Nikolaj Georgi: Exact site-site bridge functions for dielectric consistent reference interaction site model : a test for ambient water
In: Journal of molecular liquids, 205 (2015), p. 67-73
DOI: 10.1016/j.molliq.2014.09.001
Dolgov, Sergey and Boris N. Khoromskij: Simultaneous state-time approximation of the chemical master equation using tensor product formats
In: Numerical linear algebra with applications, 22 (2015) 2, p. 197-219
DOI: 10.1002/nla.1942 ARXIV: http://arxiv.org/abs/1311.3143
Dolgov, Sergey ; Khoromskij, Boris N. ; Litvinenko, Alexander and Hermann G. Matthies: Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the Tensor train format
In: SIAM / ASA Journal on uncertainty quantification, 3 (2015) 1, p. 1109-1135
DOI: 10.1137/140972536 ARXIV: http://arxiv.org/abs/1503.03210
Espig, Mike ; Hackbusch, Wolfgang and Aram Khachatryan: On the convergence of alternating least squares optimisation tensor format representations
ARXIV: http://arxiv.org/abs/1506.00062
Grasedyck, Lars ; Kriemann, Ronald ; Löbbert, Christian ; Nägel, Arne ; Wittum, Gabriel and Konstantinos Xylouris: Parallel tensor sampling in the hierarchical Tucker format
In: Computing and visualization in science, 17 (2015) 2, p. 67-78
DOI: 10.1007/s00791-015-0247-x
Hackbusch, Wolfgang: Solution of linear systems in high spatial dimensions
In: Computing and visualization in science, 17 (2015), p. 111-118
MIS-Preprint: 5/2015 DOI: 10.1007/s00791-015-0252-0
Ivanistsev, V. ; Kirchner, Kathleen ; Kirchner, Tom and Maxim V. Fedorov: Restructuring of the electrical double layer in ionic liquids upon charging
In: Journal of physics / Condensed matter, 27 (2015) 10, 102101
DOI: 10.1088/0953-8984/27/10/102101
Khoromskaia, Venera and Boris N. Khoromskij: Tensor numerical methods in quantum chemistry : from Hartree-Fock to excitation energies
In: Physical chemistry, chemical physics, 17 (2015) 47, p. 31491-31509
MIS-Preprint: 19/2015 DOI: 10.1039/c5cp01215e ARXIV: http://arxiv.org/abs/1504.06289
Khoromskij, Boris N.: Tensor numerical methods for multidimensional PDEs : theoretical analysis and initial applications
In: ESAIM / Proceedings, 48 (2015), p. 1-28
MIS-Preprint: 108/2014 DOI: 10.1051/proc/201448001 ARXIV: http://arxiv.org/abs/1408.4053
Khoromskij, Boris N. and Sergey Repin: A fast iteration method for solving elliptic problems with quasiperiodic coefficients
In: Russian journal of numerical analysis and mathematical modelling, 30 (2015) 6, p. 329-344
MIS-Preprint: 63/2015 DOI: 10.1515/rnam-2015-0030 ARXIV: http://arxiv.org/abs/1510.00284
Ratkova, Ekaterina L. ; Palmer, David S. and Maxim V. Fedorov: Solvation thermodynamics of organic molecules by the molecular integral equation theory : approaching chemical accuracy
In: Chemical reviews, 115 (2015) 13, p. 6312-6356
DOI: 10.1021/cr5000283
Banjai, Lehel and Maryna Kachanovska: Fast convolution quadrature for wave equation in three dimensions
In: Journal of computational physics, 279 (2014), p. 103-126
MIS-Preprint: 67/2012 DOI: 10.1016/j.jcp.2014.08.049
Banjai, Lehel and Maryna Kachanovska: Sparsity of Runge-Kutta convolution weights for three-dimensional wave equation
In: BIT : numerical mathematics, 54 (2014) 4, p. 901-936
MIS-Preprint: 72/2012 DOI: 10.1007/s10543-014-0498-9
Bank, Randolph E. ; Grasedyck, Lars ; Hackbusch, Wolfgang and Gabriel Wittum: Schnelle Löser für partielle Differentialgleichungen = Fast solvers for partial differential equations ; abstracts from the workshop held May 11 - 16, 2014
In: Oberwolfach reports, 11 (2014) 2, p. 1313-1364
DOI: 10.4171/OWR/2014/24
Budkov, Yurij A. ; Kolesnikov, Andrey L. ; Georgi, Nikolaj and M. Kiselev: A statistical theory of cosolvent-induced coil-globule transitions in dilute polymer solution
In: The journal of chemical physics, 141 (2014) 1, 014902
MIS-Preprint: 36/2014 DOI: 10.1063/1.4884958 ARXIV: https://arxiv.org/abs/1411.1985
Budkov, Yurij A. ; Vyalov, Ivan ; Kolesnikov, Andrey L. ; Georgi, Nikolaj ; Chuev, Gennady N. and M. Kiselev: The local phase transitions of the solvent in the neighborhood of a solvophobic polymer at high pressures
In: The journal of chemical physics, 141 (2014) 20, 204904
DOI: 10.1063/1.4902092 ARXIV: http://arxiv.org/abs/1411.1975
Chuev, Gennady N. ; Vyalov, Ivan and Nikolaj Georgi: Extraction of site-site bridge functions and effective pair potentials from simulations of polar molecular liquids
In: Journal of computational chemistry, 35 (2014) 13, p. 1010-1023
DOI: 10.1002/jcc.23586
Dolgov, Sergey and Eugene E. Tyrtyshnikov: Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma
In: Journal of computational physics, 263 (2014), p. 268-282
DOI: 10.1016/j.jcp.2014.01.029 ARXIV: http://arxiv.org/abs/1308.5952
Dolgov, Sergey ; Khoromskij, Boris N. ; Litvinenko, Alexander and Hermann G. Matthies: Computation of the response surface in the tensor train data format
In: SIAM / ASA Journal on uncertainty quantification, Vol. not yet known, pp. not yet known
MIS-Preprint: 59/2014 ARXIV: http://arxiv.org/abs/1406.2816
Dolgov, Sergey ; Khoromskij, Boris N. ; Oseledets, Ivan V. and Dmitry V. Savostyanov: Computation of extreme eigenvalues in higher dimensions using block tensor train format
In: Computer physics communications, 185 (2014) 4, p. 1207-1216
MIS-Preprint: 59/2013 DOI: 10.1016/j.cpc.2013.12.017 ARXIV: http://arxiv.org/abs/1306.2269
Dolgov, Sergey and Dmitry V. Savostyanov: Alternating minimal energy methods for linear systems in higher dimensions
In: SIAM journal on scientific computing, 36 (2014) 5, p. A2248-A2271
DOI: 10.1137/140953289
Espig, Mike ; Hackbusch, Wolfgang ; Litvinenko, Alexander ; Matthies, Hermann G. and Philipp Wähnert: Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats
In: Computers and mathematics with applications, 67 (2014) 4, p. 818-829
MIS-Preprint: 28/2012 DOI: 10.1016/j.camwa.2012.10.008
Georgi, Nikolaj ; Budkov, Yurij A. ; Chuev, Gennady N. ; Vyalov, Ivan ; Kiselev, M. and Andrey L. Kolesnikov: On conformational behavior of solvophobic polymer at high pressures
In: Physical review / E, Vol. not yet known, pp. not yet known
MIS-Preprint: 49/2014
Hackbusch, Wolfgang: Numerical tensor calculus
In: Acta numerica, 23 (2014), p. 651-742
DOI: 10.1017/S0962492914000087
Khodov, Ilya A. ; Efimov, Sergey V. ; Nikiforov, Michael Yu. ; Klochkov, Vladimir V. and Nikolaj Georgi: Inversion of population distribution of felodipine conformations at increased concentration in dimethyl sulfoxide Is a prerequisite to crystal nucleation
In: Journal of pharmaceutical sciences, 103 (2014) 2, p. 392-394
DOI: 10.1002/jps.23833
Khoromskaia, Venera: Black-box Hartree-Fock solver by tensor numerical methods
In: Computational methods in applied mathematics, 14 (2014) 1, p. 89-111
MIS-Preprint: 90/2013 DOI: 10.1515/cmam-2013-0023
Khoromskaia, Venera and Boris N. Khoromskij: Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation
In: Computer physics communications, 185 (2014) 12, p. 3162-3174
MIS-Preprint: 116/2013 DOI: 10.1016/j.cpc.2014.08.015 ARXIV: http://arxiv.org/abs/1405.2270
Khoromskaia, Venera and Boris N. Khoromskij: Moeller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals
In: Computer physics communications, 185 (2014) 1, p. 2-10
MIS-Preprint: 26/2013 DOI: 10.1016/j.cpc.2013.08.004
Khoromskaia, Venera and Boris N. Khoromskij: Tensor numerical approach to linearized Hartree-Fock equation for lattice-type and periodic systems
ARXIV: http://arxiv.org/abs/1408.3839
Khoromskij, Boris N. and Sentao Miao: Superfast wavelet transform using quantics-TT approximation 1. : application to haar wavelets
In: Computational methods in applied mathematics, 14 (2014) 4, p. 537-553
MIS-Preprint: 103/2013 DOI: 10.1515/cmam-2014-0016
Meszmer, Peter: Hierarchical quadrature for multidimensional singular integrals : part II
In: Journal of numerical mathematics, 22 (2014) 1, p. 33-60
MIS-Preprint: 71/2012 DOI: 10.1515/jnum-2014-0002
Savostyanov, Dmitry V. ; Dolgov, Sergey ; Werner, J. M. and Ilya Kuprov: Exact NMR simulation of protein-size spin systems using tensor train formalism
In: Physical review / B, 90 (2014) 8, 085139
DOI: 10.1103/PhysRevB.90.085139 ARXIV: http://arxiv.org/abs/1402.4516
Vyalov, Ivan ; Chuev, Gennady N. and Nikolaj Georgi: Solute-solvent cavity and bridge functions. Pt. I : Varying size of the solute
In: The journal of chemical physics, 141 (2014) 7, 074505
DOI: 10.1063/1.4892876
Wähnert, M.D. ; Dinse, J. ; Weiss, M. ; Streicher, M.N. ; Wähnert, Philipp ; Geyer, S. ; Turner, R. and PL Bazin: Anatomically motivated modeling of cortical laminae
In: NeuroImage, 93 (2014) Special Issue, 2, p. 210-220
DOI: 10.1016/j.neuroimage.2013.03.078
Asmadi, Aldi ; Kirchner, Tom ; Abdallah, Wael ; Fedorov, Maxim V. and Mikhail R. Stukan: Influence of the Drude charge value on the performance of polarisable water model : a test for microscopic and macroscopic parameters
In: Journal of molecular liquids, 188 (2013), p. 245-251
DOI: 10.1016/j.molliq.2013.09.026
Ballani, Jonas ; Banjai, Lehel ; Sauter, Stefan A. and Alexander Veit: Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature
In: Numerische Mathematik, 123 (2013) 4, p. 643-670
MIS-Preprint: 65/2011 DOI: 10.1007/s00211-012-0503-7
Ballani, Jonas and Lars Grasedyck: A projection method to solve linear systems in tensor format
In: Numerical linear algebra with applications, 20 (2013) 1, p. 27-43
MIS-Preprint: 22/2010 DOI: 10.1002/nla.1818
Ballani, Jonas and Lars Grasedyck: Tree adaptive approximation in the hierarchical tensor format
LINK: http://www.dfg-spp1324.de/download/preprints/preprint141.pdf
Ballani, Jonas ; Grasedyck, Lars and Melanie Kluge: Black box approximation of tensors in hierarchical Tucker format
In: Linear algebra and its applications, 438 (2013) 2, p. 639-657
MIS-Preprint: 57/2010 DOI: 10.1016/j.laa.2011.08.010
Banjai, Lehel and Volker Gruhne: Numerische Berechnung der Wellenausbreitung
In: Jahrbuch der Max-Planck-Gesellschaft, 2012 (2013), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
LINK: http://www.mpg.de/4709480/Numerische_Berechnung_der_Wellenausbreitung
Benedikt, Udo ; Auer, Henry ; Espig, Mike ; Hackbusch, Wolfgang and Alexander A. Auer: Tensor representation techniques in post-Hartree-Fock methods : matrix product state tensor format
In: Molecular physics, 111 (2013) 16/17, p. 2398-2413
MIS-Preprint: 8/2013 DOI: 10.1080/00268976.2013.798433
Chuev, Gennady N. and Marina V. Fedotova: Electron-electron attraction caused by dispersion forces in metal-ammonia solutions
In: Chemical physics letters, 556 (2013), p. 138-141
DOI: 10.1016/j.cplett.2012.12.005
Chuev, Gennady N. and Ivan Vyalov: A universal bridge functional for infinitely diluted solutions
In: Russian journal of physical chemistry / A, 87 (2013) 9, p. 1598-1599
DOI: 10.1134/S0036024413090070
Dolgov, Sergey: TT-GMRES : on solution to a linear system in the structured tensor format
In: Russian journal of numerical analysis and mathematical modelling, 28 (2013) 2, p. 149-172
DOI: 10.1515/rnam-2013-0009 ARXIV: http://arxiv.org/abs/1206.5512
Dolgov, Sergey and Boris N. Khoromskij: Two-level QTT-Tucker format for optimized tensor calculus
In: SIAM journal on matrix analysis and applications, 34 (2013) 2, p. 593-623
MIS-Preprint: 19/2012 DOI: 10.1137/120882597
Dolgov, Sergey and Dmitry V. Savostyanov: One-site density matrix renormalizatin group and alternating minimum energy algorithm
ARXIV: http://arxiv.org/abs/1312.6542
Grubisic, Luka ; Ovall, Jeffrey S. and Randolph E. Bank: A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement
In: Applied numerical mathematics, 66 (2013), p. 1-29
MIS-Preprint: 42/2010 DOI: 10.1016/j.apnum.2012.11.004
Hackbusch, Wolfgang: L estimation of tensor truncations
In: Numerische Mathematik, 125 (2013) 3, p. 419-440
MIS-Preprint: 17/2012 DOI: 10.1007/s00211-013-0544-6
Idrissi, A. ; Vyalov, Ivan ; Georgi, Nikolaj and M. Kiselev: On the characterization of inhomogeneity of the density distribution in supercritical fluids via molecular dynamics simulation and data mining analysis
In: The journal of physical chemistry / B, 117 (2013) 40, p. 12184-12188
DOI: 10.1021/jp404873a
Kazeev, Vladimir A. ; Khoromskij, Boris N. and Eugene E. Tyrtyshnikov: Multilevel Toeplitz matrices generated by tensor-structured vectors and convolution with logarithmic complexity
In: SIAM journal on scientific computing, 35 (2013) 3, p. A1511-A1536
MIS-Preprint: 36/2011 DOI: 10.1137/110844830
Khodov, Ilya A. ; Nikiforov, Michael Yu. ; Alper, G. A. ; Blokhin, D. S. ; Efimov, Sergey V. ; Klochkov, Vladimir V. and Nikolaj Georgi: Spatial structure of felodipine dissolved in DMSO by 1D NOE and 2D NOESY NMR spectroscopy
In: Journal of molecular structure, 1035 (2013), p. 358-362
DOI: 10.1016/j.molstruc.2012.11.040
Khoromskaia, Venera ; Khoromskij, Boris N. and Reinhold Schneider: Tensor-structured factorized calculation of two-electron integrals in a general basis
In: SIAM journal on scientific computing, 35 (2013) 2, p. A987-A1010
MIS-Preprint: 29/2012 DOI: 10.1137/120884067
Kirchner, Kathleen ; Kirchner, Tom ; Ivanistsev, V. and Maxim V. Fedorov: Electrical double layer in ionic liquids : structural transitions from multilayer to monolayer structure at the interface
In: Electrochimica acta, 110 (2013) Special Issue, p. 762-771
DOI: 10.1016/j.electacta.2013.05.049
Kriemann, Ronald: H-LU factorization on many-core systems
In: Computing and visualization in science, 16 (2013) 3, p. 105-117
MIS-Preprint: 5/2014 DOI: 10.1007/s00791-014-0226-7
Oseledets, Ivan V.: Constructive representation of functions in low-rank tensor formats
In: Constructive approximation, 37 (2013) 1, p. 1-18
DOI: 10.1007/s00365-012-9175-x
Palmer, David S. ; Sorensen, Jesper ; Schiott, Birgit and Maxim V. Fedorov: Solvent binding analysis and computational Alanine scanning of the Bovine Chymosin-Bovine kappa-Casein complex using molecular integral equation theory
In: Journal of chemical theory and computation, 9 (2013) 12, p. 5706-5717
DOI: 10.1021/ct400605x
Rahman, Talal and Jan Valdman: Fast MATLAB assembly of FEM matrices in 2D and 3D : nodal elements
In: Applied mathematics and computation, 219 (2013) 13, p. 7151-7158
DOI: 10.1016/j.amc.2011.08.043 LINK: http://www.mis.mpg.de/de/publications/andere-reihen/tr/report-1111.html
Schneider, Jan: Interpolation theory and approximation issues in function spaces
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/ln/4313.html
Ballani, Jonas: Fast evaluation of singular BEM integrals based on tensor approximations
In: Numerische Mathematik, 121 (2012) 3, p. 433-460
MIS-Preprint: 77/2010 DOI: 10.1007/s00211-011-0436-6
Bertoglio, Christobal and Boris N. Khoromskij: Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels
In: Computer physics communications, 183 (2012) 4, p. 904-912
MIS-Preprint: 79/2008 DOI: 10.1016/j.cpc.2011.12.016
Blesgen, Thomas ; Gavini, Vikram and Venera Khoromskaia: Approximation of the electron density of aluminium clusters in tensor-product format
In: Journal of computational physics, 231 (2012) 6, p. 2551-2564
MIS-Preprint: 66/2009 DOI: 10.1016/j.jcp.2011.12.009
Borchardt, M. ; Kleiber, R. and Wolfgang Hackbusch: A fast solver for the gyrokinetic field equation with adiabatic electrons
In: Journal of computational physics, 231 (2012) 18, p. 6207-6212
DOI: 10.1016/j.jcp.2012.06.001
Chinnamsetty, Sambasiva Rao ; Luo, Hongjun ; Hackbusch, Wolfgang ; Flad, Heinz-Jürgen and André Uschmajew: Bridging the gap between quantum Monte Carlo and F12-methods
In: Chemical physics, 401 (2012), p. 36-44
MIS-Preprint: 68/2011 DOI: 10.1016/j.chemphys.2011.09.019
Chuev, Gennady N. ; Valiev, Marat and Marina V. Fedotova: Integral equation theory of molecular solvation coupled with quantum mechanical/molecular mechanics method in NWChem package
In: Journal of chemical theory and computation, 8 (2012) 4, p. 1246-1254
DOI: 10.1021/ct2009297
Dolgov, Sergey ; Kazeev, Vladimir A. and Boris N. Khoromskij: Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients
In: Linear algebra and its applications, Vol. not yet known, pp. not yet known
MIS-Preprint: 51/2012
Dolgov, Sergey and Boris N. Khoromskij: Tensor-product approach to global time-space-parametric discretization of chemical master equation
In: IMA journal of numerical analysis, Vol. not yet known, pp. not yet known
MIS-Preprint: 68/2012
Dolgov, Sergey ; Khoromskij, Boris N. and Ivan V. Oseledets: Fast solution of parabolic problems in the tensor train/quantized tensor train format with initial application to the Fokker-Planck equation
In: SIAM journal on scientific computing, 34 (2012) 6, p. A3016-A3038
MIS-Preprint: 80/2011 DOI: 10.1137/120864210
Dolgov, Sergey ; Khoromskij, Boris N. ; Oseledets, Ivan V. and Eugene E. Tyrtyshnikov: Low-rank tensor structure of solutions to elliptic problems with jumping coefficients
In: Journal of computational mathematics, 30 (2012) 1, p. 14-23
MIS-Preprint: 12/2011 DOI: 10.4208/jcm.1110-m11si08
Dolgov, Sergey ; Khoromskij, Boris N. ; Oseledets, Ivan V. and Eugene E. Tyrtyshnikov: A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients
In: Linear algebra and its applications, 436 (2012) 9, p. 2980-3007
MIS-Preprint: 55/2010 DOI: 10.1016/j.laa.2011.09.010
Dolgov, Sergey ; Khoromskij, Boris N. and Dmitry V. Savostyanov: Superfast Fourier transform using QTT approximation
In: The journal of Fourier analysis and applications, 18 (2012) 5, p. 915-953
MIS-Preprint: 18/2011 DOI: 10.1007/s00041-012-9227-4
Espig, Mike and Wolfgang Hackbusch: A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format
In: Numerische Mathematik, 122 (2012) 3, p. 489-525
MIS-Preprint: 78/2010 DOI: 10.1007/s00211-012-0465-9
Espig, Mike ; Hackbusch, Wolfgang ; Handschuh, Stefan and Reinhold Schneider: Optimization problems in contracted tensor networks
In: Computing and visualization in science, 14 (2012) 6, p. 271-285
MIS-Preprint: 66/2011 DOI: 10.1007/s00791-012-0183-y
Espig, Mike ; Hackbusch, Wolfgang ; Rohwedder, Thorsten and Reinhold Schneider: Variational calculus with sums of elementary tensors of fixed rank
In: Numerische Mathematik, 122 (2012) 3, p. 469-488
MIS-Preprint: 52/2009 DOI: 10.1007/s00211-012-0464-x
Espig, Mike ; Naraparaju, Kishore Kumar and Jan Schneider: A note on tensor chain approximation
In: Computing and visualization in science, 15 (2012) 6, p. 331-344
MIS-Preprint: 16/2012 DOI: 10.1007/s00791-014-0218-7
Falcó, Antonio and Wolfgang Hackbusch: On minimal subspaces in tensor representations
In: Foundations of computational mathematics, 12 (2012) 6, p. 765-803
MIS-Preprint: 70/2010 DOI: 10.1007/s10208-012-9136-6
Fedorov, Maxim V. and R. M. Lynden-Bell: Probing the neutral graphene-ionic liquid interface: insights from molecular dynamics simulations
In: Physical chemistry, chemical physics, 14 (2012) 8, p. 2552-2556
DOI: 10.1039/C2CP22730D
Frolov, Andrey ; Arif, Raz N. ; Kolar, Martin ; Romanova, Anastasia O. ; Fedorov, Maxim V. and Aleksey G. Rozhin: Molecular mechanisms of salt effects on carbon nanotube dispersions in an organic solvent (N-methyl-2-pyrrolidone)
In: Chemical science, 3 (2012) 2, p. 541-548
DOI: 10.1039/C1SC00232E
Frolov, Andrey ; Kirchner, Kathleen ; Kirchner, Tom and Maxim V. Fedorov: Molecular-scale insights into the mechanisms of ionic liquids interactions with carbon nanotubes
In: Faraday discussions, 154 (2012), p. 235-247
DOI: 10.1039/C1FD00080B
Giani, Stefano ; Grubisic, Luka and Jeffrey S. Ovall: Benchmark results for testing adaptive finite element eigenvalue procedures
In: Applied numerical mathematics, 62 (2012) 2, p. 121-140
DOI: 10.1016/j.apnum.2011.10.007
Gogatishvili, Amiran ; Pick, Lubos and Jan Schneider: Characterization of a rearrangement-invariant hull of a Besov space via interpolation
In: Revista matematica complutense, 25 (2012) 1, p. 267-283
DOI: 10.1007/s13163-011-0067-6
Goreinov, S. A. ; Oseledets, Ivan V. and Dmitry V. Savostyanov: Wedderburn rank reduction and Krylov subspace method for tensor approximation. Pt. 1: Tucker case
In: SIAM journal on scientific computing, 34 (2012) 1, p. A1-A27
DOI: 10.1137/100792056
Hackbusch, Wolfgang and Florian Drechsler: Partial evaluation of the discrete solution of elliptic boundary value problems
In: Computing and visualization in science, 15 (2012) 5, p. 227-245
MIS-Preprint: 59/2012 DOI: 10.1007/s00791-013-0211-6
Hackbusch, Wolfgang ; John, Volker ; Khachatryan, Aram and Carina Suciu: A numerical method for the simulation of an aggregation-driven population balance system
In: International journal for numerical methods in fluids, 69 (2012) 10, p. 1646-1660
DOI: 10.1002/fld.2656
Hackbusch, Wolfgang ; Khoromskij, Boris N. ; Sauter, Stefan A. and Eugene E. Tyrtyshnikov: Use of tensor formats in elliptic eigenvalue problems
In: Numerical linear algebra with applications, 19 (2012) 1, p. 133-151
MIS-Preprint: 78/2008 DOI: 10.1002/nla.793
Izadi, Mohammad: Parallel H-matrix arithmetic on distributed-memory systems
In: Computing and visualization in science, 15 (2012) 2, p. 87-97
MIS-Preprint: 73/2012 DOI: 10.1007/s00791-013-0198-z
Kazeev, Vladimir A. and Boris N. Khoromskij: Low-Rank explicit QTT representation of the Laplace operator and inverse
In: SIAM journal on matrix analysis and applications, 33 (2012) 3, p. 742-758
MIS-Preprint: 75/2010 DOI: 10.1137/100820479
Khoromskaia, Venera ; Andrae, Dirk and Boris N. Khoromskij: Fast and accurate 3D tensor calculation of the Fock operator in a general basis
In: Computer physics communications, 183 (2012) 11, p. 2392-2404
MIS-Preprint: 4/2012 DOI: 10.1016/j.cpc.2012.06.007
Khoromskij, Boris N.: Tensors-structured numerical methods in scientific computing : survey on recent advances
In: Chemometrics and intelligent laboratory systems, 110 (2012) 1, p. 1-19
MIS-Preprint: 21/2010 DOI: 10.1016/j.chemolab.2011.09.001
Luo, Hongjun: Transcorrelated calculations of homogeneous electron gases
In: The journal of chemical physics, 136 (2012) 22, 224111
DOI: 10.1063/1.4727852
Luo, Hongjun ; Horowitz, Claudio M. ; Flad, Heinz-Jürgen ; Proetto, César and Wolfgang Hackbusch: Direct comparison of optimized effective potential and Hartree-Fock self-consistent calculations for jellium slabs
In: Physical review / B, 85 (2012) 16, 165133
DOI: 10.1103/PhysRevB.85.165133
Lynden-Bell, Ruth M. ; Frolov, Andrey and Maxim V. Fedorov: Electrode screening by ionic liquids
In: Physical chemistry, chemical physics, 14 (2012) 8, p. 2693-2701
DOI: 10.1039/c2cp23267g
Meszmer, Peter and Jonas Ballani: Tensor structured evaluation of singular volume integrals
In: Computing and visualization in science, 15 (2012) 2, p. 75-86
MIS-Preprint: 70/2012 DOI: 10.1007/s00791-013-0199-y
Naraparaju, Kishore Kumar and G. Naga Raju: Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces
In: Journal of scientific computing, 53 (2012) 2, p. 295-319
MIS-Preprint: 34/2010 DOI: 10.1007/s10915-011-9572-5
Nogovitsyn, Evgeny A. and Yurij A. Budkov: Self-consistent field theory investigation of behavior of hyaluronic acid chains in aqueous salt solution
In: Physica / A, 391 (2012) 8, p. 2507-2517
MIS-Preprint: 45/2010 DOI: 10.1016/j.physa.2011.12.040
Oseledets, Ivan V.: Improved n-term Karatsuba-like formulas in GF(2)
In: IEEE transactions on computers, 60 (2012) 8, p. 1212-1216
DOI: 10.1109/TC.2010.233
Oseledets, Ivan V. and Sergey Dolgov: Solution of linear systems and matrix inversion in the TT-format
In: SIAM journal on scientific computing, 34 (2012) 5, p. A2718-A2739
MIS-Preprint: 19/2011 DOI: 10.1137/110833142
Oseledets, Ivan V. and A. Yu. Mikhalev: Representation of quasiseparable matrices using excluded sums and equivalent charges
In: Linear algebra and its applications, 436 (2012) 3, p. 699-708
DOI: 10.1016/j.laa.2011.07.041
Ottosson, Niklas ; Romanova, Anastasia O. ; Söderström, Johan ; Björneholm, Olle ; Öhrwall, Gunnar and Maxim V. Fedorov: Molecular sinkers : X-ray photoemission and atomistic simulations of benzoic acid and benzoate at the aqueous solution/vapor interface
In: The journal of physical chemistry / B, 116 (2012) 43, p. 13017-13023
DOI: 10.1021/jp300956j
Palmer, David S. ; McDonagh, James L. ; Mitchell, John B. O. ; van Mourik, Tanja and Maxim V. Fedorov: First-principles calculation of the intrinsic aqueous solubility of crystalline druglike molecules
In: Journal of chemical theory and computation, 8 (2012) 9, p. 3322-3337
DOI: 10.1021/ct300345m
Ratkova, Ekaterina L.: A Comparative analysis of models for hydration free energy calculations within the RISM theory of integral equations
In: Russian journal of physical chemistry / A, 86 (2012) 6, p. 992-998
DOI: 10.1134/S0036024412060222
Ratkova, Ekaterina L.: A semiempirical model for estimating the hydration free energy of neutral nonpolar compounds
In: Russian journal of physical chemistry / A, 86 (2012) 10, p. 1557-1562
DOI: 10.1134/S0036024412100196
Savostyanov, Dmitry V.: QTT-rank-one vectors with QTT-rank-one and full-rank Fourier images
In: Linear algebra and its applications, 436 (2012) 9, p. 3215-3224
MIS-Preprint: 45/2011 DOI: 10.1016/j.laa.2011.11.008
Sergiievskyi, Volodymyr and Maxim V. Fedorov: 3DRISM multigrid algorithm for fast solvation free energy calculations
In: Journal of chemical theory and computation, 8 (2012) 6, p. 2062-2070
DOI: 10.1021/ct200815v
Sergiievskyi, Volodymyr and Andrey Frolov: A universal bridge functional for infinitely diluted solutions : a case study for Lennard-Jones spheres of different diameter
In: Russian journal of physical chemistry / A, 86 (2012) 8, p. 1254-1260
DOI: 10.1134/S0036024412080122 ARXIV: http://arxiv.org/abs/1111.2257
Turc, Catalin ; Ovall, Jeffrey S. and Akash Anand: Well-conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners
In: Journal of integral equations and applications, 24 (2012) 3, p. 321-358
MIS-Preprint: 43/2010 DOI: 10.1216/JIE-2012-24-3-321
Banjai, Lehel and Volker Gruhne: Efficient long-time computations of time-domain boundary integrals for 2D and dissipative wave equation
In: Journal of computational and applied mathematics, 235 (2011) 14, p. 4207-4220
MIS-Preprint: 65/2010 DOI: 10.1016/j.cam.2011.03.015
Banjai, Lehel and Christian Lubich: An error analysis of Runge-Kutta convolution quadrature
In: BIT : numerical mathematics, 51 (2011) 3, p. 483-496
MIS-Preprint: 27/2010 DOI: 10.1007/s10543-011-0311-y
Banjai, Lehel ; Lubich, Christian and Jens Markus Melenk: Runge-Kutta convolution quadrature for operators arising in wave propagation
In: Numerische Mathematik, 119 (2011) 1, p. 1-20
MIS-Preprint: 59/2010 DOI: 10.1007/s00211-011-0378-z
Bank, Randolph E. ; Hackbusch, Wolfgang and Gabriel Wittum: Schnelle Löser für partielle Differentialgleichungen = Fast solvers for partial differential equations ; abstracts from the workshop held May 22 - 28, 2011
In: Oberwolfach reports, 8 (2011) 2, p. 1511-1571
DOI: 10.4171/OWR/2011/28
Benedikt, Udo ; Auer, Alexander A. ; Espig, Mike and Wolfgang Hackbusch: Tensor decomposition in post-Hartree Fock methods. Pt. 1 : Two-electron integrals and MP2
In: The journal of chemical physics, 134 (2011) 5, 054118
MIS-Preprint: 63/2010 DOI: 10.1063/1.3514201
Chuev, Gennady N.: Chebyshev-Galerkin algorithm for computing 3D solvation
In: Journal of computational physics, Vol. not yet known, pp. not yet known
MIS-Preprint: 86/2011
Cresson, Jacky and Isabelle Greff: Non-differentiable embedding of Lagrangian systems and partial differential equations
In: Journal of mathematical analysis and applications, 384 (2011) 2, p. 626-646
MIS-Preprint: 16/2010 DOI: 10.1016/j.jmaa.2011.06.008
Dolgov, Sergey ; Khoromskij, Boris N. and Ivan V. Oseledets: Fast solution of multi-dimensional parabolic problems in the TT / QTT-format with initial application to the Fokker-Planck equation
In: SIAM journal on scientific computing, Vol. not yet known, pp. not yet known
MIS-Preprint: 80/2011
Fedorov, Maxim V.: Molecular modeling of solvent-mediated effects in physical and biophysical chemistry
In: Abstracts of papers of the American Chemical Society, 242 (2011), 12-AEI
Fedorov, Maxim V. ; Arif, Raz N. ; Frolov, Andrey ; Kolar, Martin ; Romanova, Anastasia O. and Aleksey G. Rozhin: Salting out in organic solvents : a new route to carbon nanotube bundle engineering
In: Physical chemistry, chemical physics, 13 (2011) 27, p. 12399-12402
DOI: 10.1039/C1CP21440C
Fedorov, Maxim V. ; Frolov, Andrey ; Ratkova, Ekaterina L. ; Palmer, David S. and Volodymyr Sergiievskyi: Efficient predictions of physchem properties of biomolecules in aqueous solutions using the reference interaction site model
In: Abstracts of papers of the American Chemical Society, 242 (2011), 47-COMP
Fedorov, Maxim V. ; Frolov, Andrey ; Romanova, Anastasia O. ; Kirchner, Kathleen and I. V. Terekhova: Ion effects on biomolecule conformation and complex formation in water
In: Abstracts of papers of the American Chemical Society, 241 (2011), 317-COMP
Frolov, Andrey: Computer simulation of salt effects on nanoobjects in dispersions
In: Abstracts of papers of the American Chemical Society, 242 (2011), 13-AEI
Frolov, Andrey ; Arif, Raz N. ; Romanova, Anastasia O. ; Rozhin, Aleksey G. and Maxim V. Fedorov: Effects of salts on carbon nanotubes dispersions : understanding molecular mechanisms
In: Abstracts of papers of the American Chemical Society, 242 (2011), 245-COLL
Frolov, Andrey ; Kirchner, Tom ; Kirchner, Kathleen and Maxim V. Fedorov: Interactions of ionic liquids and their mixtures with carbon nanomaterials : insights from molecular modeling
In: Abstracts of papers of the American Chemical Society, 242 (2011), 345-COLL
Frolov, Andrey ; Ratkova, Ekaterina L. ; Palmer, David S. and Maxim V. Fedorov: Hydration thermodynamics using the reference interaction site model : speed or accuracy?
In: The journal of physical chemistry / B, 115 (2011) 19, p. 6011-6022
DOI: 10.1021/jp111271c
Frolov, Andrey ; Rozhin, Aleksey G. and Maxim V. Fedorov: Ion interactions with the carbon nanotube surface in aqueous solutions
In: Abstracts of papers of the American Chemical Society, 241 (2011), 178-COMP
Gavrilyuk, Ivan P. and Boris N. Khoromskij: Quantized-TT-Cayley transform to compute dynamics and spectrum of high-dimensional Hamiltonians
In: Computational methods in applied mathematics, 11 (2011) 3, p. 273-290
MIS-Preprint: 43/2011 DOI: 10.2478/cmam-2011-0015
Gavrilyuk, Ivan P. ; Khoromskij, Boris N. and Eugene E. Tyrtyshnikov: Preface to the special issue, CMAM 2011, no. 3.
In: Computational methods in applied mathematics, 11 (2011) 3, p. 272-272
DOI: 10.2478/cmam-2011-0014
Grasedyck, Lars and Wolfgang Hackbusch: An introduction to hierarchical (H-) rank and TT-rank of tensors with examples
In: Computational methods in applied mathematics, 11 (2011) 3, p. 291-304
DOI: 10.2478/cmam-2011-0016
Hackbusch, Wolfgang: Tensorisation of vectors and their efficient convolution
In: Numerische Mathematik, 119 (2011) 3, p. 465-488
MIS-Preprint: 48/2010 DOI: 10.1007/s00211-011-0393-0
Harsanyi, I. ; Bopp, Philippe Anthony ; Vrhovsek, A. and L. Pusztai: On the hydration structure of LiCl aqueous solutions : a Reverse Monte Carlo based combination of diffraction data and Molecular Dynamics simulations
In: Journal of molecular liquids, 158 (2011) 1, p. 61-67
DOI: 10.1016/j.molliq.2010.10.010
Holst, Michael ; Ovall, Jeffrey S. and Ryan Szypowski: An efficient, reliable and robust error estimator for elliptic problems in R3
In: Applied numerical mathematics, 61 (2011) 5, p. 675-695
MIS-Preprint: 38/2010 DOI: 10.1016/j.apnum.2011.01.002
Idrissi, A. ; Vyalov, Ivan ; Kiselev, M. ; Fedorov, Maxim V. and P. Jedlovszky: Heterogeneity of the local structure in sub- and supercritical ammonia : a Voronoi polyhedra analysis
In: The journal of physical chemistry / B, 115 (2011) 31, p. 9646-9652
DOI: 10.1021/jp204078u
Key, Kerry and Jeffrey S. Ovall: A parallel goal-oriented adaptive finite element method for 2.5-D electromagnetic modeling
In: Geophysical journal international, 186 (2011) 1, p. 137-154
MIS-Preprint: 40/2010 DOI: 10.1111/j.1365-246X.2011.05025.x
Khoromskaia, Venera ; Khoromskij, Boris N. and Reinhold Schneider: QTT representation of the Hartree and exchange operators in electronic structure calculations
In: Computational methods in applied mathematics, 11 (2011) 3, p. 327-341
MIS-Preprint: 37/2011 DOI: 10.2478/cmam-2011-0018
Khoromskij, Boris N.: O(d log N)-quantics approximation of N-d tensors in high-dimensional numerical modeling
In: Constructive approximation, 34 (2011) 2, p. 257-280
MIS-Preprint: 55/2009 DOI: 10.1007/s00365-011-9131-1
Khoromskij, Boris N. ; Khoromskaia, Venera and Heinz-Jürgen Flad: Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format
In: SIAM journal on scientific computing, 33 (2011) 1, p. 45-65
MIS-Preprint: 44/2009 DOI: 10.1137/090777372
Khoromskij, Boris N. and Ivan V. Oseledets: QTT approximation of elliptic solution operators in higher dimensions
In: Russian journal of numerical analysis and mathematical modelling, 26 (2011) 3, p. 303-322
MIS-Preprint: 79/2009 DOI: 10.1515/RJNAMM.2011.017
Khoromskij, Boris N. ; Sauter, Stefan A. and Alexander Veit: Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation
In: Computational methods in applied mathematics, 11 (2011) 3, p. 342-362
MIS-Preprint: 42/2011 DOI: 10.2478/cmam-2011-0019
Khoromskij, Boris N. and Christoph Schwab: Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs
In: SIAM journal on scientific computing, 33 (2011) 1, p. 364-385
MIS-Preprint: 9/2010 DOI: 10.1137/100785715
Kondrat, S. ; Georgi, Nikolaj ; Fedorov, Maxim V. and Alexei A. Kornyshev: A superionic state in nano-porous double-layer capacitors : insights from Monte Carlo simulations
In: Physical chemistry, chemical physics, 13 (2011) 23, p. 11359-11366
DOI: 10.1039/C1CP20798A
Kondrat, S. and Alexei A. Kornyshev: Superionic state in double-layer capacitors with nanoporous electrodes
In: Journal of physics / Condensed matter, 23 (2011) 2, 022201
DOI: 10.1088/0953-8984/23/2/022201
LeBorne, Sabine and Jeffrey S. Ovall: Rapid error reduction for block Gauss-Seidel based on p-hierarchical bases
In: Numerical linear algebra with applications, Vol. not yet known, pp. not yet known
MIS-Preprint: 33/2011
Luo, Hongjun: Complete optimisation of multi-configuration Jastrow wave functions by variational transcorrelated method
In: The journal of chemical physics, 135 (2011) 2, 024109
DOI: 10.1063/1.3607990
Naraparaju, Kishore Kumar and Jan Schneider: Generalized cross approximation for 3d-tensors
In: Computing and visualization in science, 14 (2011) 3, p. 105-115
MIS-Preprint: 29/2010 DOI: 10.1007/s00791-011-0166-4
Nogovitsyn, Evgeny A. and Yurij A. Budkov: Development of the theory of a self-consistent field for polyelectrolyte solutions
In: Russian journal of physical chemistry / A, 85 (2011) 8, p. 1363-1368
DOI: 10.1134/S0036024411080255
Oseledets, Ivan V.: Tensor-train decomposition
In: SIAM journal on scientific computing, 33 (2011) 5, p. 2295-2317
DOI: 10.1137/090752286
Oseledets, Ivan V.: DMRG approach to fast linear algebra in the TT-format
In: Computational methods in applied mathematics, 11 (2011) 3, p. 382-393
DOI: 10.2478/cmam-2011-0021
Oseledets, Ivan V. and Eugene E. Tyrtyshnikov: Algebraic wavelet transform via quantics tensor train decomposition
In: SIAM journal on scientific computing, 33 (2011) 3, p. 1315-1328
DOI: 10.1137/100811647
Oseledets, Ivan V. ; Tyrtyshnikov, Eugene E. and N. L. Zamarashkin: Tensor-train ranks for matrices and their inverses
In: Computational methods in applied mathematics, 11 (2011) 3, p. 394-403
DOI: 10.2478/cmam-2011-0022
Palmer, David S. ; Chuev, Gennady N. ; Ratkova, Ekaterina L. and Maxim V. Fedorov: In silico screening of bioactive and biomimetic solutes using integral equations theory
In: Current pharmaceutical design, 17 (2011) 17, p. 1695-1708
DOI: 10.2174/138161211796355065
Palmer, David S. ; Frolov, Andrey ; Ratkova, Ekaterina L. and Maxim V. Fedorov: Toward a universal model to calculate the solvation thermodynamics of druglike molecules : the importance of new experimental databases
In: Molecular pharmaceutics, 8 (2011) 4, p. 1423-1429
DOI: 10.1021/mp200119r
Palmer, David S. ; Ratkova, Ekaterina L. ; Frolov, Andrey ; Sergiievskyi, Volodymyr and Maxim V. Fedorov: Accurate calculation of the hydration free energies of biologically active molecules using the reference interaction site model
In: Abstracts of papers of the American Chemical Society, 241 (2011), 100-COMP
Ratkova, Ekaterina L. and Maxim V. Fedorov: On a relationship between molecular polarizability and partial molar volume in water
In: The journal of chemical physics, 135 (2011) 24, 244109
DOI: 10.1063/1.3672094
Ratkova, Ekaterina L. and Maxim V. Fedorov: Combination of RISM and cheminformatics for efficient predictions of hydration free energy of polyfragment molecules : application to a set of organic pollutants
In: Journal of chemical theory and computation, 7 (2011) 5, p. 1450-1457
DOI: 10.1021/ct100654h
Ratkova, Ekaterina L. ; Sergiievskyi, Volodymyr ; Chuev, Gennady N. and Maxim V. Fedorov: Reference interaction site model with structural descriptors correction as an efficient tool for hydration free energy predictions
In: Abstracts of papers of the American Chemical Society, 241 (2011), 180-COMP
Romanova, Anastasia O.: Ion effects on a-cyclodextrin-aromatic carboxylic acids in aqueous solution : molecular mechanisms
In: Abstracts of papers of the American Chemical Society, 242 (2011), 59-AEI
Romanova, Anastasia O. ; Frolov, Andrey and Maxim V. Fedorov: Counter-ion effects on ionizable biomolecules in aqueous electrolyte solutions : understanding molecular mechanisms
In: Abstracts of papers of the American Chemical Society, 242 (2011), 396-COLL
Saeedi, Habibollah ; Moghadam, M. Mohseni ; Mollahasani, Nasibeh and Gennady N. Chuev: A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
In: Communications in nonlinear science and numerical simulation, 16 (2011) 3, p. 1154-1163
MIS-Preprint: 4/2010 DOI: 10.1016/j.cnsns.2010.05.036
Saeedi, Habibollah ; Mollahasani, Nasibeh ; Moghadam, Mahmoud Mohseni and Gennady N. Chuev: An operational Haar wavelet method for solving fractional Volterra integral equations
In: International journal of applied mathematics and computer science, 21 (2011) 3, p. 535-547
MIS-Preprint: 80/2009 DOI: 10.2478/v10006-011-0042-x
Sergiievskyi, Volodymyr: Model for calculating the free energy of hydration of bioactive compounds based on integral equation theory of liquids
In: Russian journal of physical chemistry / B, 5 (2011) 2, p. 326-331
DOI: 10.1134/S1990793111020382
Sergiievskyi, Volodymyr: Fast calculation of thermodynamic and structural parameters of solutions using the 3DRISM model and the multi-grid method
In: Russian chemical bulletin, Vol. not yet known, pp. not yet known
ARXIV: http://de.arxiv.org/abs/1111.2033
Sergiievskyi, Volodymyr: 3DRISM bridge functional for the aqueous solutions of carbon nanomaterials
In: Condensed matter physics, Vol. not yet known, pp. not yet known
ARXIV: http://de.arxiv.org/abs/1112.0998
Sergiievskyi, Volodymyr ; Hackbusch, Wolfgang and Maxim V. Fedorov: Multigrid solver for the reference interaction site model of molecular liquids theory
In: Journal of computational chemistry, 32 (2011) 9, p. 1982-1992
DOI: 10.1002/jcc.21783
Vyalov, Ivan ; Kiselev, M. ; Tassaing, T. ; Soetens, J. C. ; Fedorov, Maxim V. ; Damay, P. and A. Idrissi: Reorientation relaxation in supercritical ammonia
In: Journal of molecular liquids, 159 (2011) 1, p. 31-37
DOI: 10.1016/j.molliq.2010.09.012
Börm, Steffen: Approximation of solution operators of elliptic partial differential equations by H- and H2-matrices
In: Numerische Mathematik, 115 (2010) 2, p. 165-193
MIS-Preprint: 85/2007 DOI: 10.1007/s00211-009-0278-7
Chinnamsetty, Sambasiva Rao ; Espig, Mike ; Flad, Heinz-Jürgen and Wolfgang Hackbusch: Canonical tensor products as a generalization of Gaussian-type orbitals
In: Zeitschrift für physikalische Chemie, 224 (2010) 3/4, p. 681-694
MIS-Preprint: 29/2009 DOI: 10.1524/zpch.2010.6131
Chinnamsetty, Sambasiva Rao ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: Efficient multi-scale computation of products of orbitals in electronic structure calculations
In: Computing and visualization in science, 13 (2010) 8, p. 397-408
MIS-Preprint: 71/2009 DOI: 10.1007/s00791-011-0153-9
Chuev, Gennady N.: Dispersion forces between solvated electrons
In: The journal of chemical physics, 132 (2010) 14, 144504
DOI: 10.1063/1.3382542
Farrell, Damien ; Miranda, Emanuel Sa ; Webb, Helen ; Georgi, Nikolaj ; Crowley, Peter B. ; McIntosh, Lawrence P. and Jens Erik Nielsen: Titration_DB : Storage and analysis of NMR-monitored protein pH titration curves
In: Proteins : structure, function, and bioinformatics, 78 (2010) 4, p. 843-857
DOI: 10.1002/prot.22611
Farrell, Damien ; O'Meara, Fergal ; Johnston, Micheal ; Bradley, John ; Sondergaard, Chrester R. ; Georgi, Nikolaj ; Webb, Helen ; Tynan-Connolly, Barbara Mary ; Bjarnadottir, Una ; Carstensen, Tommy and Jens Erik Nielsen: Capturing, sharing and analysing biophysical data from protein engineering and protein characterization studies
In: Nucleic acids research, 38 (2010) 20, e186
DOI: 10.1093/nar/gkq726
Fedorov, Maxim V. ; Georgi, Nikolaj and Alexei A. Kornyshev: Erratum to 'Double layer in ionic liquids : the nature of the camel shape of capacitance' [Electrochem. Commun. 12 (2010) 296-299]
In: Electrochemistry communications, 12 (2010) 6, p. 749-749
DOI: 10.1016/j.elecom.2010.03.023
Fedorov, Maxim V. ; Georgi, Nikolaj and Alexei A. Kornyshev: Double layer in ionic liquids : the nature of the camel shape of capacitance
In: Electrochemistry communications, 12 (2010) 2, p. 296-299
DOI: 10.1016/j.elecom.2009.12.019
Flad, Heinz-Jürgen ; Rohwedder, Thorsten and Reinhold Schneider: Adaptive methods in quantum chemistry
In: Zeitschrift für physikalische Chemie, 224 (2010) 3/4, p. 651-669
DOI: 10.1524/zpch.2010.6129
Frolov, Andrey ; Rozhin, Aleksey G. and Maxim V. Fedorov: Ion interactions with the carbon nanotube surface in aqueous solutions : understanding the molecular mechanisms
In: ChemPhysChem, 11 (2010) 12, p. 2612-2616
DOI: 10.1002/cphc.201000231
Georgi, Nikolaj ; Kornyshev, Alexei A. and Maxim V. Fedorov: The anatomy of the double layer and capacitance in ionic liquids with anisotropic ions : electrostriction vs lattice saturation
In: Journal of electroanalytical chemistry, 649 (2010) 1/2, p. 261-267
DOI: 10.1016/j.jelechem.2010.07.004
Grasedyck, Lars: Hierarchical singular value decomposition of tensors
In: SIAM journal on matrix analysis and applications, 31 (2010) 4, p. 2029-2054
MIS-Preprint: 27/2009 DOI: 10.1137/090764189
Hackbusch, Wolfgang ; Naraparaju, Kishore Kumar and Jan Schneider: On the efficient convolution with the Newton potential
In: Journal of numerical mathematics, 18 (2010) 4, p. 257-280
MIS-Preprint: 53/2009 DOI: 10.1515/JNUM.2010.013
Karino, Yasuhito ; Fedorov, Maxim V. and Nobuyuki Matubayasi: End-point calculation of solvation free energy of amino-acid analogs by molecular theories of solution
In: Chemical physics letters, 496 (2010) 4/6, p. 351-355
DOI: 10.1016/j.cplett.2010.07.054
Khoromskaia, Venera: Computation of the Hartree-Fock exchange by the tensor-structured methods
In: Computational methods in applied mathematics, 10 (2010) 2, p. 204-218
MIS-Preprint: 25/2009 DOI: 10.2478/cmam-2010-0012
Khoromskij, Boris N.: Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension
In: Journal of computational and applied mathematics, 234 (2010) 11, Special Issue, p. 3122-3139
MIS-Preprint: 36/2008 DOI: 10.1016/j.cam.2010.02.004
Khoromskij, Boris N. and Ivan V. Oseledets: Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs
In: Computational methods in applied mathematics, 10 (2010) 4, p. 376-394
MIS-Preprint: 37/2010 DOI: 10.2478/cmam-2010-0023
Kolombet, Valerij A. and Andrey Frolov: Na+/K+ selectivity in the formation of ion pairs in aqueous solutions
In: Russian journal of physical chemistry / B, 4 (2010) 6, p. 875-882
DOI: 10.1134/S1990793110060011
Kolombet, Valerij A. and Volodymyr Sergiievskyi: The special features of the thermodynamic characteristics of hydration of univalent ions according to the reference interaction site model
In: Russian journal of physical chemistry / A, 84 (2010) 9, p. 1467-1472
DOI: 10.1134/S0036024410090025
Luo, Hongjun: Variational transcorrelated method
In: The journal of chemical physics, 133 (2010) 15, 154109
DOI: 10.1063/1.3505037
Luo, Hongjun ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: Quantum Monte Carlo study of the transcorrelated method for correlation factors
In: Molecular physics, 108 (2010) 3/4, p. 425-431
DOI: 10.1080/00268970903521194
McLean, William: Regularity of solutions to a time-fractional diffusion equation
In: The ANZIAM journal, 52 (2010) 2, p. 123-138
MIS-Preprint: 64/2010 DOI: 10.1017/S1446181111000617
Meszmer, Peter: Hierarchical quadrature for multidimensional singular integrals
In: Journal of numerical mathematics, 18 (2010) 2, p. 91-117
MIS-Preprint: 5/2010 DOI: 10.1515/JNUM.2010.004
Naraparaju, Kishore Kumar and G. Naga Raju: Least-squares hp/spectral element method for elliptic problems
In: Applied numerical mathematics, 60 (2010) 1/2, p. 38-54
MIS-Preprint: 35/2009 DOI: 10.1016/j.apnum.2009.08.008
Nogovitsyn, Evgeny A. and Yurij A. Budkov: A new approach within self-consistence field theory for polymer solutions
Oseledets, Ivan V.: Approximation of 2(d) x 2(d) matrices using tensor decomposition
In: SIAM journal on matrix analysis and applications, 31 (2010) 4, p. 2130-2145
DOI: 10.1137/090757861
Oseledets, Ivan V.: Constructive representation of functions in tensor formats
LINK: http://pub.inm.ras.ru/
Oseledets, Ivan V. and Boris N. Khoromskij: DMRG+QTT approach to computation of the ground state for the molecular Schrödinger operator
In: Numerische Mathematik, Vol. not yet known, pp. not yet known
MIS-Preprint: 69/2010
Oseledets, Ivan V. and Ekaterina Muravleva: Fast orthogonalization to the kernel of the discrete gradient operator with application to Stokes problem
In: Linear algebra and its applications, 432 (2010) 6, p. 1492-1500
DOI: 10.1016/j.laa.2009.11.010
Oseledets, Ivan V. ; Savostyanov, Dmitry V. and Eugene E. Tyrtyshnikov: Cross approximation in tensor electron density computations
In: Numerical linear algebra with applications, 17 (2010) 6, p. 935-952
DOI: 10.1002/nla.682
Oseledets, Ivan V. and Eugene E. Tyrtyshnikov: TT-cross approximation for multidimensional arrays
In: Linear algebra and its applications, 432 (2010) 1, p. 70-88
DOI: 10.1016/j.laa.2009.07.024
Palmer, David S. ; Frolov, Andrey ; Ratkova, Ekaterina L. and Maxim V. Fedorov: Towards a universal method for calculating hydration free energies : a 3D reference interaction site model with partial molar volume correction
In: Journal of physics / Condensed matter, 22 (2010) 49, 492101
DOI: 10.1088/0953-8984/22/49/492101
Palmer, David S. ; Sergiievskyi, Volodymyr ; Jensen, Frank and Maxim V. Fedorov: Accurate calculations of the hydration free energies of drug-like molecules using the reference interaction site model
In: The journal of chemical physics, 133 (2010) 4, 044104
DOI: 10.1063/1.3458798
Quemerais, Pascal and Gennady N. Chuev: Non-metal-to-metal transition driven by van der Waals forces in an interacting polaronic gas
In: New journal of physics, 12 (2010) 2, 023030
DOI: 10.1088/1367-2630/12/2/023030
Ratkova, Ekaterina L. ; Chuev, Gennady N. ; Sergiievskyi, Volodymyr and Maxim V. Fedorov: An accurate prediction of hydration free energies by combination of molecular integral equations theory with structural descriptors
In: The journal of physical chemistry / B, 114 (2010) 37, p. 12068-12079
DOI: 10.1021/jp103955r
Schneider, Jan: Error estimates for two-dimensional cross approximation
In: Journal of approximation theory, 162 (2010) 9, p. 1685-1700
MIS-Preprint: 5/2009 DOI: 10.1016/j.jat.2010.04.012
Terekhova, I. V. ; Romanova, Anastasia O. ; Kumeev, Roman S. and Maxim V. Fedorov: Selective Na+/K+ effects on the formation of alpha-Cyclodextrin complexes with aromatic carboxylic acids : competition for the guest
In: The journal of physical chemistry / B, 114 (2010) 39, p. 12607-12613
DOI: 10.1021/jp1063512
Zhang, Lei ; Berlyand, Leonid V. ; Fedorov, Maxim V. and Houman Owhadi: Global energy matching method for atomistic-to-continuum modeling of self-assembling biopolymer aggregates
In: Multiscale modeling and simulation, 8 (2010) 5, p. 1958-1980
DOI: 10.1137/090781619
Abarbanel, S. ; Qasimov, Heydar and S. Tsynkov: Long-time performance of unsplit PMLs with explicit second order schemes
In: Journal of scientific computing, 41 (2009) 1, p. 1-12
DOI: 10.1007/s10915-009-9282-4
Börm, Steffen: Construction of data-sparse H2-matrices by hierarchical compression
In: SIAM journal on scientific computing, 31 (2009) 3, p. 1820-1839
MIS-Preprint: 92/2007 DOI: 10.1137/080720693
Chuev, Gennady N. and Maxim V. Fedorov: Reference interaction site model study of self-aggregating cyanine dyes
In: The journal of chemical physics, 131 (2009) 7, 074503
DOI: 10.1063/1.3211948
Drechsler, Florian ; Wolters, Carsten H. ; Dierkes, Thomas ; Si, Hang and Lars Grasedyck: A full subtraction approach for finite element method based source analysis using constrained Delaunay tetrahedralisation
In: NeuroImage, 46 (2009) 4, p. 1055-1065
MIS-Preprint: 95/2007 DOI: 10.1016/j.neuroimage.2009.02.024
Espig, Mike ; Grasedyck, Lars and Wolfgang Hackbusch: Black box low tensor-rank approximation using fiber-crosses
In: Constructive approximation, 30 (2009) 3, p. 557-597
MIS-Preprint: 60/2008 DOI: 10.1007/s00365-009-9076-9
Fedorov, Maxim V. ; Goodman, Jonathan M. ; Kolombet, Vladimir V. ; Schumm, Stephan and Ingrid M. Socorro: Conformational changes of trialanine in sodium halide solutions : an in silico study
In: Journal of molecular liquids, 147 (2009) 1/2, p. 117-123
DOI: 10.1016/j.molliq.2008.10.004
Fedorov, Maxim V. ; Goodman, Jonathan M. and Stephan Schumm: To switch or not to switch : the effects of potassium and sodium ions on alpha-poly-L-glutamate conformations in aqueous solutions
In: Journal of the American Chemical Society, 131 (2009) 31, p. 10854-10856
DOI: 10.1021/ja9030374
Fedorov, Maxim V. ; Goodman, Jonathan M. and Stephan Schumm: The effect of sodium chloride on poly-L-glutamate conformation
In: Chemical communications, 2009 (2009) 8, p. 896-898
DOI: 10.1039/b816055d
Grasedyck, Lars ; Kriemann, Ronald and Sabine LeBorne: Domain decomposition based H-LU preconditioning
In: Numerische Mathematik, 112 (2009) 4, p. 565-600
MIS-Preprint: 115/2005 DOI: 10.1007/s00211-009-0218-6
Grubisic, Luka and Jeffrey S. Ovall: On estimators for eigenvalue/eigenvector approximations
In: Mathematics of computation, 78 (2009) 266, p. 739-770
MIS-Preprint: 18/2007 DOI: 10.1090/S0025-5718-08-02181-9
Hackbusch, Wolfgang: Convolution of hp-functions on locally refined grids
In: IMA journal of numerical analysis, 29 (2009) 4, p. 960-985
MIS-Preprint: 38/2007 DOI: 10.1093/imanum/drn047
Hackbusch, Wolfgang ; Kress, Wendy and Stefan A. Sauter: Sparse convolution quadrature for time domain boundary integral formulations of the wave equation
In: IMA journal of numerical analysis, 29 (2009) 1, p. 158-179
MIS-Preprint: 116/2005 DOI: 10.1093/imanum/drm044
Hackbusch, Wolfgang and Stefan Kühn: A new scheme for the tensor representation
In: The journal of Fourier analysis and applications, 15 (2009) 5, p. 706-722
MIS-Preprint: 2/2009 DOI: 10.1007/s00041-009-9094-9
Izadi, Mohammad: A posteriori error estimates for the coupling equations of scalar conservation laws
In: BIT : numerical mathematics, 49 (2009) 4, p. 697-720
MIS-Preprint: 63/2009 DOI: 10.1007/s10543-009-0243-y
Khoromskij, Boris N.: Tensor-structured preconditioners and approximate inverse of elliptic operators in Rd
In: Constructive approximation, 30 (2009) 3, p. 599-620
MIS-Preprint: 82/2008 DOI: 10.1007/s00365-009-9068-9
Khoromskij, Boris N. and Venera Khoromskaia: Multigrid accelerated tensor approximation of function related multidimensional arrays
In: SIAM journal on scientific computing, 31 (2009) 4, p. 3002-3026
MIS-Preprint: 40/2008 DOI: 10.1137/080730408
Khoromskij, Boris N. ; Khoromskaia, Venera ; Chinnamsetty, Sambasiva Rao and Heinz-Jürgen Flad: Tensor decomposition in electronic structure calculations on 3D Cartesian grids
In: Journal of computational physics, 228 (2009) 16, p. 5749-5762
MIS-Preprint: 65/2007 DOI: 10.1016/j.jcp.2009.04.043
Khoromskij, Boris N. ; Litvinenko, Alexander and Hermann G. Matthies: Application of hierarchical matrices for computing the Karhunen-Loève expansion
In: Computing, 84 (2009) 1/2, p. 49-67
MIS-Preprint: 81/2008 DOI: 10.1007/s00607-008-0018-3
Luo, Hongjun ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: Quantum Monte Carlo study of Jastrow perturbation theory. Pt. 1 : Wave function optimization
In: The journal of chemical physics, 131 (2009) 10, 104106
DOI: 10.1063/1.3220631
Naraparaju, Kishore Kumar ; Dutt, P. K. and C. S. Upadhyay: Nonconforming spectral/hp element methods for elliptic systems
In: Journal of numerical mathematics, 17 (2009) 2, p. 119-142
DOI: 10.1515/JNUM.2009.008
Nielsen, Bjorn Fredrik ; Tveito, Aslak and Wolfgang Hackbusch: Preconditioning by inverting the Laplacian : an analysis of the eigenvalues
In: IMA journal of numerical analysis, 29 (2009) 1, p. 24-42
DOI: 10.1093/imanum/drm018
Banjai, Lehel ; Börm, Steffen and Stefan A. Sauter: FEM for elliptic eigenvalue problems: how coarse can the coarsest mesh be chosen? An experimental study
In: Computing and visualization in science, 11 (2008) 4-6, p. 363-372
DOI: 10.1007/s00791-008-0101-5 LINK: http://www.math.unizh.ch/fileadmin/math/preprints/EMGcoarse281107.pdf
Banjai, Lehel and Wolfgang Hackbusch: Hierarchical matrix techniques for low- and high-frequency Helmholtz problems
In: IMA journal of numerical analysis, 28 (2008) 1, p. 46-79
MIS-Preprint: 17/2005 DOI: 10.1093/imanum/drm001
Banjai, Lehel and Stefan A. Sauter: Rapid solution of the wave equation in unbounded domains
In: SIAM journal on numerical analysis, 47 (2008) 1, p. 227-249
DOI: 10.1137/070690754
Bank, Randolph E. ; Hackbusch, Wolfgang and Gabriel Wittum: Schnelle Löser für partielle Differentialgleichungen = Fast solvers for partial differential equations ; abstracts from the workshop held May 18 - 24, 2008
In: Oberwolfach reports, 5 (2008) 2, p. 1233-1294
DOI: 10.4171/OWR/2008/23
Börm, Steffen: Distributed H2-matrices for non-local operators
In: Computing and visualization in science, 11 (2008) 4/6, p. 237-249
DOI: 10.1007/s00791-008-0095-z
Chuev, Gennady N.: Dispersion forces in a nondegenerate polaron gas
In: Physical review / B, Vol. not yet known, pp. not yet known
MIS-Preprint: 59/2008
Espig, Mike and Wolfgang Hackbusch: On the robustness of elliptic resolvents computed by means of the technique of hierarchical matrices
In: Applied numerical mathematics, 58 (2008) 12, p. 1844-1851
MIS-Preprint: 11/2007 DOI: 10.1016/j.apnum.2007.11.006
Fedorov, Maxim V. and Gennady N. Chuev: Integral equations study of solvent effects on the structure of supramolecular nanoaggregates formed by cyanine dyes
In: Nano letters, Vol. not yet known, pp. not yet known
MIS-Preprint: 90/2008
Fedorov, Maxim V. and Wolfgang Hackbusch: A multigrid solver for the integral equations of the theory of liquids
In: The journal of chemical physics, Vol. not yet known, pp. not yet known
MIS-Preprint: 88/2008
Fedorov, Maxim V. and Alexei A. Kornyshev: Towards understanding the structure and capacitance of electrical double layer in ionic liquids
In: Electrochimica acta, 53 (2008) 23, p. 6835-6840
MIS-Preprint: 1/2008 DOI: 10.1016/j.electacta.2008.02.065
Flad, Heinz-Jürgen ; Schneider, Reinhold and Bert-Wolfgang Schulze: Asymptotic regularity of solutions to Hartree-Fock equations with Coulomb potential
In: Mathematical methods in the applied sciences, 31 (2008) 18, p. 2172-2201
DOI: 10.1002/mma.1021
Graham, Ivan G. ; Grasedyck, Lars ; Hackbusch, Wolfgang and Stefan A. Sauter: Optimal panel-clustering in the presence of anisotropic mesh refinement
In: SIAM journal on numerical analysis, 46 (2008) 1, p. 517-543
MIS-Preprint: 149/2006 DOI: 10.1137/060677987
Grasedyck, Lars: Nonlinear multigrid for the solution of large scale Riccati equations in low-rank and H-matrix format
In: Numerical linear algebra with applications, 15 (2008) 9, p. 779-807
MIS-Preprint: 84/2005 DOI: 10.1002/nla.606
Grasedyck, Lars ; Hackbusch, Wolfgang and Ronald Kriemann: Performance of H-LU preconditioning for sparse matrices
In: Computational methods in applied mathematics, 8 (2008) 4, p. 336-349
MIS-Preprint: 65/2008 DOI: 10.2478/cmam-2008-0024
Grasedyck, Lars ; Kriemann, Ronald and Sabine LeBorne: Parallel black box H-LU preconditioning for elliptic boundary value problems
In: Computing and visualization in science, 11 (2008) 4-6, p. 273-291
DOI: 10.1007/s00791-008-0098-9
Greff, Isabelle and Wolfgang Hackbusch: Numerical method for elliptic multiscale problems
In: Journal of numerical mathematics, 16 (2008) 2, p. 119-138
MIS-Preprint: 138/2006 DOI: 10.1515/JNUM.2008.006
Hackbusch, Wolfgang: Efficient convolution with the Newton potential in d dimensions
In: Numerische Mathematik, 110 (2008) 4, p. 449-489
MIS-Preprint: 81/2007 DOI: 10.1007/s00211-008-0171-9
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Eugene E. Tyrtyshnikov: Approximate iterations for structured matrices
In: Numerische Mathematik, 109 (2008) 3, p. 365-383
MIS-Preprint: 112/2005 DOI: 10.1007/s00211-008-0143-0
Hackbusch, Wolfgang ; Koch, Juergen and Kai Sundmacher: H-matrix methods for quadratic integral operators appearing in population balances
In: Computers and chemical engineering, 32 (2008) 8, p. 1789-1809
DOI: 10.1016/j.compchemeng.2007.09.003
Khoromskij, Boris N.: On tensor approximation of Green iterations for Kohn-Sham equations
In: Computing and visualization in science, 11 (2008) 4/6, p. 259-271
MIS-Preprint: 4/2008 DOI: 10.1007/s00791-008-0097-x
Khoromskij, Boris N. and Wolfgang Hackbusch: Tensor-product approximation to multidimensional integral operators and Green's functions
In: SIAM journal on matrix analysis and applications, 30 (2008) 3, p. 1233-1253
MIS-Preprint: 38/2006 DOI: 10.1137/060657017
Kornyshev, Alexei A. and Maxim V. Fedorov: Ionic liquid near a charged wall : Structure and capacitance of electrical double layer
In: The journal of physical chemistry / B, 112 (2008) 383, p. 11868-11872
DOI: 10.1021/jp803440q
Kress, Wendy and Stefan A. Sauter: Numerical treatment of retarded boundary integral equations by sparse panel clustering
In: IMA journal of numerical analysis, 28 (2008) 1, p. 162-185
MIS-Preprint: 103/2006 DOI: 10.1093/imanum/drm021
Kriemann, Ronald: HLIBpro C language interface
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/tr/report-1008.html
Luo, Hongjun ; Flad, Heinz-Jürgen ; Hackbusch, Wolfgang and Dietmar Kolb: Fully self-consistent Hartree-Fock calculation of jellium slabs : exact treatment of the exchange operator
In: Physical review / B, 78 (2008) 3, 035136
MIS-Preprint: 91/2007 DOI: 10.1103/PhysRevB.78.035136
Russo, Nino ; Sicilia, Emilia ; Chuev, Gennady N. ; Chiodo, Sandro and Maxim V. Fedorov: Hydration of ionic species studied by the reference interaction site model with a repulsive bridge correction
In: Journal of computational chemistry, 29 (2008) 14, p. 2406-2415
MIS-Preprint: 20/2008 DOI: 10.1002/jcc.20979
Savostyanov, Dmitry V. ; Tyrtyshnikov, Eugene E. ; Khoromskij, Boris N. and Heinz-Jürgen Flad: Verification of the cross 3D algorithm on quantum chemistry data
In: Russian journal of numerical analysis and mathematical modelling, 23 (2008) 4, p. 329-344
MIS-Preprint: 80/2008 DOI: 10.1515/RJNAMM.2008.020
Schneider, Jan: Some results on function spaces of varying smoothness
In: Banach Center publications, 79 (2008), p. 187-195
DOI: 10.4064/bc79-0-15
Takatsuka, Akio ; Ten-no, Seiichiro and Wolfgang Hackbusch: Minimax approximation for the decomposition of energy denominators in Laplace-transformed Moller-Plesset perturbation theories
In: The journal of chemical physics, 129 (2008) 4, 044112
MIS-Preprint: 45/2008 DOI: 10.1063/1.2958921
Banjai, Lehel and Stefan A. Sauter: A refined Galerkin error and stability analysis for highly indefinite variational problems
In: SIAM journal on numerical analysis, 45 (2007) 1, p. 37-53
DOI: 10.1137/060654177 LINK: http://www.math.unizh.ch/fileadmin/math/preprints/03-06.pdf
Bank, Randolph E. and Jeffrey S. Ovall: Dual functions for a parallel adaptive method
In: SIAM journal on scientific computing, 29 (2007) 4, p. 1511-1524
MIS-Preprint: 91/2006 DOI: 10.1137/060668304
Bebendorf, Mario: Why finite element discretizations can be factored by triangular hierarchical matrices
In: SIAM journal on numerical analysis, 45 (2007) 4, p. 1472-1494
MIS-Preprint: 8/2005 DOI: 10.1137/060669747
Bebendorf, Mario and Ying Chen: Efficient solution of nonlinear elliptic problems using hierarchical matrices with Broyden updates
In: Computing, 81 (2007) 4, p. 239-257
MIS-Preprint: 51/2005 DOI: 10.1007/s00607-007-0252-0
Bebendorf, Mario and Wolfgang Hackbusch: Stabilized rounded addition of hierarchical matrices
In: Numerical linear algebra with applications, 14 (2007) 5, p. 407-423
MIS-Preprint: 4/2007 DOI: 10.1002/nla.525
Bellesia, Giovanni ; Timoshenko, Edward G. and Maxim V. Fedorov: Structural transitions in model beta-sheet tapes
In: The journal of chemical physics, 128 (2007), 195105
DOI: 10.1063/1.2909550
Börm, Steffen: Data-sparse approximation of non-local operators by H2-matrices
In: Linear algebra and its applications, 422 (2007) 2/3, p. 380-403
MIS-Preprint: 44/2005 DOI: 10.1016/j.laa.2006.10.021
Börm, Steffen: Adaptive variable-rank approximation of general matrices
In: SIAM journal on scientific computing, 30 (2007) 1, p. 148-168
MIS-Preprint: 114/2005 DOI: 10.1137/060651173
Chinnamsetty, Sambasiva Rao ; Espig, Mike ; Khoromskij, Boris N. ; Hackbusch, Wolfgang and Heinz-Jürgen Flad: Tensor product approximation with optimal rank in quantum chemistry
In: The journal of chemical physics, 127 (2007) 8, 084110
MIS-Preprint: 41/2007 DOI: 10.1063/1.2761871
Fedorov, Maxim V. ; Flad, Heinz-Jürgen ; Chuev, Gennady N. ; Grasedyck, Lars and Boris N. Khoromskij: A structured low-rank wavelet solver for the Ornstein-Zernike integral equation
In: Computing, 80 (2007) 1, p. 47-73
MIS-Preprint: 59/2005 DOI: 10.1007/s00607-007-0221-7
Flad, Heinz-Jürgen ; Hackbusch, Wolfgang and Reinhold Schneider: Best N-term approximation in electronic structure calculations. Pt. 2 : Jastrow factors
In: ESAIM / Mathematical modelling and numerical analysis, 41 (2007) 2, p. 261-279
MIS-Preprint: 80/2005 DOI: 10.1051/m2an:2007016
Grasedyck, Lars and Wolfgang Hackbusch: A multigrid method to solve large scale Sylvester equations
In: SIAM journal on matrix analysis and applications, 29 (2007) 3, p. 870-894
MIS-Preprint: 48/2004 DOI: 10.1137/040618102
Greff, Isabelle: Nonconforming box-schemes for elliptic problems on rectangular grids
In: SIAM journal on numerical analysis, 45 (2007) 3, p. 946-968
MIS-Preprint: 117/2005 DOI: 10.1137/050647578
Hackbusch, Wolfgang: Approximation of coalescence integrals in population balance models with local mass conservation
In: Numerische Mathematik, 106 (2007) 4, p. 627-657
MIS-Preprint: 111/2006 DOI: 10.1007/s00211-007-0077-y
Hackbusch, Wolfgang: Fast and exact projected convolution for non-equidistant grids
In: Computing, 80 (2007) 2, p. 137-168
MIS-Preprint: 102/2006 DOI: 10.1007/s00607-007-0229-z
Hackbusch, Wolfgang and Boris N. Khoromskij: Tensor-product approximation to operators and functions in high dimensions
In: Journal of complexity, 23 (2007) 4/6, p. 697-714
MIS-Preprint: 139/2006 DOI: 10.1016/j.jco.2007.03.007
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Stefan A. Sauter: Adaptive Galerkin boundary element methods with panel clustering
In: Numerische Mathematik, 105 (2007) 4, p. 603-631
MIS-Preprint: 79/2004 DOI: 10.1007/s00211-006-0047-9
Hackbusch, Wolfgang and Wendy Kress: A projection method for the computation of inner eigenvalues using high degree rational operators
In: Computing, 81 (2007) 4, p. 259-268
MIS-Preprint: 55/2007 DOI: 10.1007/s00607-007-0253-z
Khoromskij, Boris N.: Structured data-sparse approximation to high order tensors arising from the deterministic boltzmann equation
In: Mathematics of computation, 76 (2007) 259, p. 1291-1315
MIS-Preprint: 4/2005 DOI: 10.1090/S0025-5718-07-01901-1
Khoromskij, Boris N. and Venera Khoromskaia: Low rank Tucker-type tensor approximation to classical potentials
In: Central European journal of mathematics, 5 (2007) 3, p. 523-550
MIS-Preprint: 105/2006 DOI: 10.2478/s11533-007-0018-0
Koch, Juergen ; Hackbusch, Wolfgang and Kai Sundmacher: H-matrix methods for linear and quasi-linear integral operators appearing in population balances
In: Computers and chemical engineering, 31 (2007) 7, p. 745-759
DOI: 10.1016/j.compchemeng.2006.07.012
Luo, Hongjun ; Kolb, Dietmar ; Flad, Heinz-Jürgen and Wolfgang Hackbusch: Perturbative calculation of Jastrow factors : accurate description of short-range correlations
In: Physical review / B, 75 (2007) 12, 125111
MIS-Preprint: 44/2007 DOI: 10.1103/PhysRevB.75.125111
Müller, Carsten ; Flad, Heinz-Jürgen ; Kohout, Miroslav and Joachim Reinhold: Quantum Monte Carlo calculation of correlation effects on bond orders
In: Theoretical chemistry accounts, 117 (2007) 1, p. 41-48
DOI: 10.1007/s00214-006-0131-3
Ovall, Jeffrey S.: Hierarchical matrix techniques for a domain decomposition algorithm
In: Computing, 80 (2007) 4, p. 287-297
MIS-Preprint: 61/2006 DOI: 10.1007/s00607-007-0235-1
Ovall, Jeffrey S.: Function, gradient, and Hessian recovery using quadratic edge-bump functions
In: SIAM journal on numerical analysis, 45 (2007) 3, p. 1064-1080
MIS-Preprint: 113/2005 DOI: 10.1137/060648908
Schneider, Jan: Function spaces of varying smoothness I.
In: Mathematische Nachrichten, 280 (2007) 16, p. 1801-1826
DOI: 10.1002/mana.200610580
Wolters, Carsten H. ; Köstler, Harald ; Möller, Christian ; Härdtlein, Jochen ; Grasedyck, Lars and Wolfgang Hackbusch: Numerical mathematics of the subtraction method for the modeling of a current dipole in EEG source reconstruction using finite element head models
In: SIAM journal on scientific computing, 30 (2007) 1, p. 24-45
MIS-Preprint: 47/2007 DOI: 10.1137/060659053
Bebendorf, Mario: Approximate inverse preconditioning of FE systems for elliptic operators with non-smooth coefficients
In: SIAM journal on matrix analysis and applications, 27 (2006) 4, p. 909-929
MIS-Preprint: 7/2004 DOI: 10.1137/S0895479803437621
Bebendorf, Mario and R. Grzhibovskis: Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation
In: Mathematical methods in the applied sciences, 29 (2006) 14, p. 1721-1747
MIS-Preprint: 46/2006 DOI: 10.1002/mma.759
Börm, Steffen: H2-matrix arithmetics in linear complexity
In: Computing, 77 (2006) 1, p. 1-28
MIS-Preprint: 47/2004 DOI: 10.1007/s00607-005-0146-y
Flad, Heinz-Jürgen ; Hackbusch, Wolfgang and Reinhold Schneider: Best N-term approximation in electronic structure calculations. Pt. 1 : One-electron reduced density matrix
In: ESAIM / Mathematical modelling and numerical analysis, 40 (2006) 1, p. 49-61
MIS-Preprint: 60/2005 DOI: 10.1051/m2an:2006007
Hackbusch, Wolfgang: On the efficient evaluation of coalescence integrals in population balance models
In: Computing, 78 (2006) 2, p. 145-159
MIS-Preprint: 29/2006 DOI: 10.1007/s00607-006-0174-2
Hackbusch, Wolfgang: Approximation of 1/||x-y|| by exponentials for wavelet applications
In: Computing, 76 (2006) 3-4, p. 359-366
MIS-Preprint: 15/2005 DOI: 10.1007/s00607-005-0134-2
Hackbusch, Wolfgang and Boris N. Khoromskij: Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators. Pt. 2 : HKT representation of certain operators
In: Computing, 76 (2006) 3/4, p. 203-225
MIS-Preprint: 30/2005 DOI: 10.1007/s00607-005-0145-z
Hackbusch, Wolfgang and Boris N. Khoromskij: Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators. Pt. 1 : Separable approximation of multi-variate functions
In: Computing, 76 (2006) 3/4, p. 177-202
MIS-Preprint: 29/2005 DOI: 10.1007/s00607-005-0144-0
Hackbusch, Wolfgang ; Löhndorf, Maike and Stefan A. Sauter: Coarsening of boundary-element spaces
In: Computing, 77 (2006) 3, p. 253-273
MIS-Preprint: 16/2005 DOI: 10.1007/s00607-005-0160-0
Khoromskij, Boris N.: Structured rank-(r1,...,rd) decomposition of function-related tensors in Rd
In: Computational methods in applied mathematics, 6 (2006) 2, p. 194-220
MIS-Preprint: 6/2006 DOI: 10.2478/cmam-2006-0010
LeBorne, Sabine and Lars Grasedyck: H-matrix preconditioners in convection-dominated problems
In: SIAM journal on matrix analysis and applications, 27 (2006) 4, p. 1172-1183
MIS-Preprint: 62/2004 DOI: 10.1137/040615845
Ovall, Jeffrey S.: Asymptotically exact functional error estimators based on superconvergent gradient recovery
In: Numerische Mathematik, 102 (2006) 3, p. 543-558
MIS-Preprint: 69/2005 DOI: 10.1007/s00211-005-0655-9
Ovall, Jeffrey S.: Two dangers to avoid when using gradient recovery methods for finite element error estimation and adaptivity
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/tr/report-0606.html
Bank, Randolph E. ; Hackbusch, Wolfgang and Gabriel Wittum: Schnelle Löser für partielle Differentialgleichungen = Fast solvers for partial differential equations ; abstracts from the workshop held May 22 - 28, 2005
In: Oberwolfach reports, 2 (2005) 2, p. 1299-1370
DOI: 10.4171/OWR/2005/24
Bebendorf, Mario: Hierarchical LU decomposition-based preconditioners for BEM
In: Computing, 74 (2005) 3, p. 225-247
MIS-Preprint: 28/2004 DOI: 10.1007/s00607-004-0099-6
Bebendorf, Mario: Efficient inversion of the Galerkin matrix of general second-order elliptic operators with nonsmooth coefficients
In: Mathematics of computation, 74 (2005) 251, p. 1179-1199
MIS-Preprint: 6/2004 DOI: 10.1090/S0025-5718-04-01716-8
Bebendorf, Mario and Ronald Kriemann: Fast parallel solution of boundary integral equations and related problems
In: Computing and visualization in science, 8 (2005) 3/4, p. 121-135
MIS-Preprint: 10/2004 DOI: 10.1007/s00791-005-0001-x
Braess, Dietrich and Wolfgang Hackbusch: Approximation of 1/x by exponential sums in [1,infinity)
In: IMA journal of numerical analysis, 25 (2005) 4, p. 685-697
MIS-Preprint: 75/2004 DOI: 10.1093/imanum/dri015
Börm, Steffen: Approximation of integral operators by H2-matrices with adaptive bases
In: Computing, 74 (2005) 3, p. 249-271
MIS-Preprint: 18/2004 DOI: 10.1007/s00607-004-0106-y
Börm, Steffen and Lars Grasedyck: Hybrid cross approximation of integral operators
In: Numerische Mathematik, 101 (2005) 2, p. 221-249
MIS-Preprint: 68/2004 DOI: 10.1007/s00211-005-0618-1
Börm, Steffen and Wolfgang Hackbusch: Hierarchical quadrature for singular integrals
In: Computing, 74 (2005) 2, p. 75-100
MIS-Preprint: 50/2003 DOI: 10.1007/s00607-004-0076-0
Börm, Steffen ; Krzebek, Nico and Stefan A. Sauter: May the singular integrals in BEM be replaced by zero?
In: Computer methods in applied mechanics and engineering, 194 (2005) 2-5, p. 383-393
MIS-Preprint: 86/2003 DOI: 10.1016/j.cma.2004.03.016
Börm, Steffen ; Löhndorf, Maike and Jens Markus Melenk: Approximation of integral operators by variable-order interpolation
In: Numerische Mathematik, 99 (2005) 4, p. 605-643
MIS-Preprint: 82/2002 DOI: 10.1007/s00211-004-0564-3
Börm, Steffen and Stefan A. Sauter: BEM with linear complexity for the classical boundary integral operators
In: Mathematics of computation, 74 (2005) 251, p. 1139-1177
DOI: 10.1090/S0025-5718-04-01733-8
Chuev, Gennady N. ; Fedorov, Maxim V. ; Luo, Hongjun ; Kolb, Dietmar and Edward G. Timoshenko: 3D wavelet treatment of solvated bipolaron and polaron
In: Journal of theoretical and computational chemistry, 4 (2005) 3, p. 751-767
Flad, Heinz-Jürgen ; Hackbusch, Wolfgang ; Luo, Hongjun and Dietmar Kolb: Diagrammatic multiresolution analysis for electron correlations
In: Physical review / B, 71 (2005) 12, 125115
MIS-Preprint: 65/2004 DOI: 10.1103/PhysRevB.71.125115
Flad, Heinz-Jürgen ; Hackbusch, Wolfgang ; Luo, Hongjun and Dietmar Kolb: Wavelet approach to quasi two-dimensional extended many-particle systems. Pt. 1 : Supercell Hartree-Fock method
In: Journal of computational physics, 205 (2005) 2, p. 540-566
MIS-Preprint: 66/2004 DOI: 10.1016/j.jcp.2004.11.018
Flemisch, B. ; Melenk, Jens Markus and B. I. Wohlmuth: Mortar methods with curved interfaces
In: Applied numerical mathematics, 54 (2005) 3-4, p. 339-361
MIS-Preprint: 2/2004 DOI: 10.1016/j.apnum.2004.09.007
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: Data-sparse approximation to a class of operator-valued functions
In: Mathematics of computation, 74 (2005) 250, p. 681-708
MIS-Preprint: 20/2003 LINK: http://www.jstor.org/stable/4100084
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems
In: Computing, 74 (2005) 2, p. 131-157
MIS-Preprint: 83/2003 DOI: 10.1007/s00607-004-0086-y
Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Finite elements on degenerate meshes : inverse-type inequalities and applications
In: IMA journal of numerical analysis, 25 (2005) 2, p. 379-407
MIS-Preprint: 102/2002 DOI: 10.1093/imanum/drh017
Grasedyck, Lars: Adaptive recompression of H-matrices for BEM
In: Computing, 74 (2005) 3, p. 205-223
MIS-Preprint: 17/2004 DOI: 10.1007/s00607-004-0103-1
Hackbusch, Wolfgang: Preface [Special issue : Selected contributions to the 20th GAMM seminar Leipzig on numerical methods for non-local operators, Leipzig, Germany, January 22--24, 2004]
In: Computing, 74 (2005) 3, v-vi
DOI: 10.1007/s00607-005-0128-0
Hackbusch, Wolfgang: Entwicklungen nach Exponentialsummen
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/tr/report-0405.html
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Andreas Klaus: Approximation of functions by exponential sums based on the Newton-type optimisation
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/tr/report-0305.html
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Ronald Kriemann: Direct Schur complement method by domain decomposition based on H-matrix approximation
In: Computing and visualization in science, 8 (2005) 3/4, p. 179-188
MIS-Preprint: 25/2004 DOI: 10.1007/s00791-005-0008-3
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Eugene E. Tyrtyshnikov: Hierarchical Kronecker tensor-product approximations
In: Journal of numerical mathematics, 13 (2005) 2, p. 119-156
MIS-Preprint: 35/2003 DOI: 10.1163/1569395054012767
Khoromskij, Boris N. and Wolfgang Hackbusch: Efficient operator calculus based on data-sparse tensor-product decompositions
In: Oberwolfach reports, 2 (2005) 2, p. 1330-1330
Kriemann, Ronald: Parallel H-matrix arithmetics on shared memory systems
In: Computing, 74 (2005) 3, p. 273-297
MIS-Preprint: 29/2004 DOI: 10.1007/s00607-004-0102-2
Melenk, Jens Markus: hp-interpolation of nonsmooth functions and an application to hp-a posteriori error estimation
In: SIAM journal on numerical analysis, 43 (2005) 1, p. 127-155
DOI: 10.1137/S0036142903432930
Zhang, H. ; Luo, Hongjun ; Kolb, J. ; Kullie, Ossama and Dietmar Kolb: Linear approximation to relativistic minimax (LARM) applied to a LCAO description of the two-centre Coulomb problem
In: Journal of physics / B, 38 (2005) 16, p. 2955-2963
DOI: 10.1088/0953-4075/38/16/008
Bebendorf, Mario: Numerische lineare algebra
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/ln/lecturenote-2304.html
Börm, Steffen: H2-matrices - multilevel methods for the approximation of integral operators
In: Computing and visualization in science, 7 (2004) 3/4, p. 173-181
MIS-Preprint: 7/2003 DOI: 10.1007/s00791-004-0135-2
Börm, Steffen and Lars Grasedyck: Low-rank approximation of integral operators by interpolation
In: Computing, 72 (2004) 3/4, p. 325-332
MIS-Preprint: 72/2002 DOI: 10.1007/s00607-003-0036-0
Dahmen, Wolfgang ; Faermann, Birgit ; Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method
In: Mathematics of computation, 73 (2004) 247, p. 1107-1138
MIS-Preprint: 24/2001 LINK: http://www.jstor.org/stable/4099889
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: Data-sparse approximation to the operator-valued functions of elliptic operator
In: Mathematics of computation, 73 (2004) 247, p. 1297-1324
MIS-Preprint: 54/2002 LINK: http://www.jstor.org/stable/4099897
Grasedyck, Lars: Existence of a low rank or H-matrix approximant to the solution of a Sylvester equation
In: Numerical linear algebra with applications, 11 (2004) 4, p. 371-389
DOI: 10.1002/nla.366
Grasedyck, Lars: Existence of a low rank or H-matrix approximant to the solution of a Sylvester equation
In: Numerical linear algebra with applications, 11 (2004) 4, p. 371-389
DOI: 10.1002/nla.366
Grasedyck, Lars: Existence and computation of low Kronecker-rank approximations for large linear systems of tensor product structure
In: Computing, 72 (2004) 3/4, p. 247-265
MIS-Preprint: 48/2003 DOI: 10.1007/s00607-003-0037-z
Grasedyck, Lars ; Hackbusch, Wolfgang and Sabine LeBorne: Adaptive geometrically balanced clustering of H-matrices
In: Computing, 73 (2004) 1, p. 1-23
MIS-Preprint: 19/2004 DOI: 10.1007/s00607-004-0068-0
Hackbusch, Wolfgang: Theorie und Numerik gewöhnlicher Differentialgleichungen
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/ln/lecturenote-2204.html
Hackbusch, Wolfgang ; Khoromskij, Boris N. and Ronald Kriemann: Hierarchical matrices based on a weak admissibility criterion
In: Computing, 73 (2004) 3, p. 207-243
MIS-Preprint: 2/2003 DOI: 10.1007/s00607-004-0080-4
Hackbusch, Wolfgang ; Sauter, Stefan A. and Christoph Schwab: Fast numerical methods for non-local operators : abstracts from the workshop held July 4 - 10, 2004
In: Oberwolfach reports, 1 (2004) 3, p. 1747-1788
DOI: 10.4171/OWR/2004/33
Toulouse, J ; Savin, Andreas and Heinz-Jürgen Flad: Short-range exchange-correlation energy of a uniform electron gas with modified electron-electron interaction
In: International journal of quantum chemistry, 100 (2004) 6, p. 1047-1056
DOI: 10.1002/qua.20259
Wolters, Carsten H. ; Grasedyck, Lars and Wolfgang Hackbusch: Efficient computation of lead field bases and influence matrix for the FEM-based EEG and MEG inverse problem
In: Inverse problems, 20 (2004) 4, p. 1099-1116
MIS-Preprint: 90/2003 DOI: 10.1088/0266-5611/20/4/007
Bebendorf, Mario: A note on the Poincaré inequality for convex domains
In: Zeitschrift fuer Analysis und ihre Anwendungen, 22 (2003) 4, p. 751-756
MIS-Preprint: 24/2003 DOI: 10.4171/ZAA/1170
Bebendorf, Mario and Wolfgang Hackbusch: Low-rank approximation of FE matrix inverses for operators with jumping coefficients
In: Proceedings in applied mathematics and mechanics, 2 (2003) 1, p. 25-28
DOI: 10.1002/pamm.200310007
Bebendorf, Mario and Wolfgang Hackbusch: Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L-infinity-coefficients
In: Numerische Mathematik, 95 (2003) 1, p. 1-28
MIS-Preprint: 21/2002 DOI: 10.1007/s00211-002-0445-6
Bebendorf, Mario and Sergej Rjasanow: Adaptive low-rank approximation of collocation matrices
In: Computing, 70 (2003) 1, p. 1-24
DOI: 10.1007/s00607-002-1469-6
Börm, Steffen ; Grasedyck, Lars and Wolfgang Hackbusch: Introduction to hierarchical matrices with applications
In: Engineering analysis with boundary elements, 27 (2003) 5, p. 405-422
MIS-Preprint: 18/2002 DOI: 10.1016/S0955-7997(02)00152-2
Börm, Steffen ; Grasedyck, Lars and Wolfgang Hackbusch: Hierarchical matrices
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/ln/lecturenote-2103.html
Börm, Steffen and Wolfgang Hackbusch: A short overview of H2-matrices
In: Proceedings in applied mathematics and mechanics, 2 (2003) 1, p. 33-36
DOI: 10.1002/pamm.200310009
Börm, Steffen and Jörg Ostrowski: Fast evaluation of boundary integral operators arising from an eddy current problem
In: Journal of computational physics, 193 (2003) 1, p. 67-85
MIS-Preprint: 33/2003 DOI: 10.1016/j.jcp.2003.08.002
Fingberg, J ; Berti, G. ; Hartmann, H. ; Basermann, A. ; Wolters, Carsten H. ; Anwander, Alfred ; McCarthy, A. and S. Woods: Bio-numerical simulations with SimBio
In: NEC research and development, 44 (2003) 1, p. 140-145
Flad, Heinz-Jürgen: Analysis of wavefunctions by Monte Carlo methods.
In: Abstracts of papers of the American Chemical Society, 226 (2003), p. U294-U294
Grasedyck, Lars and Wolfgang Hackbusch: Construction and complexity of hierarchical matrices
In: Proceedings in applied mathematics and mechanics, 2 (2003) 1, p. 29-32
DOI: 10.1002/pamm.200310008
Grasedyck, Lars and Wolfgang Hackbusch: Construction and arithmetics of H-matrices
In: Computing, 70 (2003) 4, p. 295-334
MIS-Preprint: 103/2002 DOI: 10.1007/s00607-003-0019-1
Grasedyck, Lars ; Hackbusch, Wolfgang and Boris N. Khoromskij: Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
In: Computing, 70 (2003) 2, p. 121-165
MIS-Preprint: 62/2002 DOI: 10.1007/s00607-002-1470-0
Hackbusch, Wolfgang: Der Stabilitätsbegriff in der Numerik
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/ln/lecturenote-2003.html
Khoromskij, Boris N.: Data-sparse elliptic operator inverse based on explicit approximation to the Green function
In: Journal of numerical mathematics, 11 (2003) 2, p. 135-162
MIS-Preprint: 79/2001 DOI: 10.1163/156939503766614144
Khoromskij, Boris N.: Hierarchical matrix approximation to Green's function via boundary concentrated FEM
In: Journal of numerical mathematics, 11 (2003) 3, p. 195-223
DOI: 10.1515/156939503322553081
Khoromskij, Boris N. and Jens Markus Melenk: Boundary concentrated finite element methods
In: SIAM journal on numerical analysis, 41 (2003) 1, p. 1-36
MIS-Preprint: 45/2001 DOI: 10.1137/S0036142901391852
Kriemann, Ronald: Implementation and usage of a thread pool based on POSIX threads
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/tr/report-0203.html
Kriemann, Ronald ; Burmeister, Jens and Rainer Kleinrensing: Benchmarking a shared memory system
LINK: http://www.mis.mpg.de/de/publications/andere-reihen/tr/report-0103.html
Matache, A.-M. and Jens Markus Melenk: Two-scale regularity for homogenization problems with nonsmooth fine scale geometry
In: Mathematical models and methods in applied sciences, 13 (2003) 7, p. 1053-1080
DOI: 10.1142/S0218202503002817
Börm, Steffen and Ralf Hiptmair: Multigrid computation of axisymmetric electromagnetic fields
In: Advances in computational mathematics, 16 (2002) 4, p. 331-356
DOI: 10.1023/A:1014533409747
Carstensen, Carsten ; Hackl, Klaus and Alexander Mielke: Non-convex potentials and microstructures in finite-strain plasticity
In: Proceedings of the Royal Society of London / A, 458 (2002) 2018, p. 299-317
MIS-Preprint: 72/2000 DOI: 10.1098/rspa.2001.0864
Flad, Heinz-Jürgen ; Hackbusch, Wolfgang ; Kolb, Dietmar and Reinhold Schneider: Wavelet approximation of correlated wave functions. I. Basics
In: The journal of chemical physics, 116 (2002) 22, p. 9641-9657
MIS-Preprint: 89/2001 DOI: 10.1063/1.1476008
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: H-matrix approximation for the operator exponential with applications
In: Numerische Mathematik, 92 (2002) 1, p. 83-111
MIS-Preprint: 42/2000 DOI: 10.1007/s002110100360
Hackbusch, Wolfgang: Direct integration of the Newton potential over cubes
In: Computing, 68 (2002) 3, p. 193-216
MIS-Preprint: 68/2001 DOI: 10.1007/s00607-001-1443-8
Hackbusch, Wolfgang and Steffen Börm: H2-matrix approximation of integral operators by interpolation
In: Applied numerical mathematics, 43 (2002) 1-2, p. 129-143
MIS-Preprint: 104/2001 DOI: 10.1016/S0168-9274(02)00121-6
Hackbusch, Wolfgang and Steffen Börm: Data-sparse approximation by adaptive H2-matrices
In: Computing, 69 (2002) 1, p. 1-35
MIS-Preprint: 86/2001 DOI: 10.1007/s00607-002-1450-4
Hackbusch, Wolfgang ; Grasedyck, Lars and Steffen Börm: An introduction to hierarchical matrices
In: Mathematica bohemica, 127 (2002) 2, p. 229-241
MIS-Preprint: 105/2001 LINK: http://www.emis.ams.org/journals/MB/127.2/mb127_2_11.pdf
Hackbusch, Wolfgang and Boris N. Khoromskij: Blended kernel approximation in the H-matrix techniques
In: Numerical linear algebra with applications, 9 (2002) 4, p. 281-304
MIS-Preprint: 66/2000 DOI: 10.1002/nla.273
Luo, Hongjun ; Kolb, Dietmar ; Flad, Heinz-Jürgen ; Hackbusch, Wolfgang and Thomas Koprucki: Wavelet approximation of correlated wave functions. II. Hyperbolic wavelets and adaptive approximation schemes
In: The journal of chemical physics, 117 (2002) 8, p. 3625-3638
MIS-Preprint: 90/2001 DOI: 10.1063/1.1494800
Melenk, Jens Markus: On condition numbers in hp-FEM with Gauss-Lobatto-based shape functions
In: Journal of computational and applied mathematics, 139 (2002) 1, p. 21-48
DOI: 10.1016/S0377-0427(01)00391-0
Melenk, Jens Markus and Boris N. Khoromskij: An efficient direct solver for the boundary concentrated FEM in 2D
In: Computing, 69 (2002) 2, p. 91-117
MIS-Preprint: 64/2001 DOI: 10.1007/s00607-002-1452-2
Schautz, Friedemann and Heinz-Jürgen Flad: Selective correlation scheme within diffusion quantum Monte Carlo
In: The journal of chemical physics, 116 (2002) 17, p. 7389-7399
DOI: 10.1063/1.1467336
Wolters, Carsten H. ; Kuhn, Michael ; Anwander, Alfred and Stefan. Reitzinger: A parallel algebraic multigrid solver for finite element method based source localization in the human brain
In: Computing and visualization in science, 5 (2002) 3, p. 165-177
MIS-Preprint: 35/2001 DOI: 10.1007/s00791-002-0098-0
Ying, Heping ; Pan, Zhengquan ; Luo, Hongjun ; Marculescu, Sorin and Lothar Schülke: Dynamic random-bond Potts ferromagnet with the continuous self-dual quenched disorders
In: Nuclear physics / B, 106 (2002), p. 920-922
DOI: 10.1016/S0920-5632(01)01886-2
Ying, Heping ; Ren, Haoren ; Luo, Hongjun and Lothar Schülke: Critical dynamics of the random-bond Potts ferromagnet with multi-disorder amplitudes on a triangular lattice
In: Physics Letters / A, 298 (2002) 1, p. 60-66
DOI: 10.1016/S0375-9601(02)00296-7
Börm, Steffen: Tensor product multigrid for Maxwell's equation with aligned anisotropy
In: Computing, 66 (2001) 4, p. 321-342
DOI: 10.1007/s006070170018
Börm, Steffen and Ralf Hiptmair: Analysis of tensor product multigrid
In: Numerical algorithms, 26 (2001) 3, p. 219-234
DOI: 10.1023/A:1016686408271
Gavrilyuk, Ivan P. ; Hackbusch, Wolfgang and Boris N. Khoromskij: H-matrix approximation for elliptic solution operators in cylinder domains
In: East west journal of numerical mathematics, 9 (2001) 1, p. 25-58
MIS-Preprint: 18/2001 DOI: 10.1515/JNMA.2001.25
Gerdes, K. ; Melenk, Jens Markus ; Schwab, Christoph and D. Schötzau: The hp-version of the streamline diffusion finite element method in two space dimensions
In: Mathematical models and methods in applied sciences, 11 (2001) 2, p. 301-337
DOI: 10.1142/S0218202501000878
Gutzmer, Tim and Jens Markus Melenk: Approximation orders for natural splines in arbitrary dimensions
In: Mathematics of computation, 70 (2001) 234, p. 699-703
LINK: http://www.jstor.org/stable/2698776
Hackbusch, Wolfgang: The efficient computation of certain determinants arising in the treatment of Schrödinger's equations
In: Computing, 67 (2001) 1, p. 35-56
MIS-Preprint: 18/2000 DOI: 10.1007/s006070170015
Hartke, B. ; Flad, Heinz-Jürgen and Michael Dolg: Structures of mercury clusters in a quantum-empirical hybrid model
In: Physical chemistry, chemical physics, 3 (2001) 23, p. 5121-5129
DOI: 10.1039/b105207c
Hsiao, G. C. ; Khoromskij, Boris N. and W. L. Wendland: Preconditioning for boundary element methods in domain decomposition
In: Engineering analysis with boundary elements, 25 (2001) 4-5, p. 323-338
DOI: 10.1016/S0955-7997(01)00029-7
Li, Z. B. ; Shuai, Z. ; Wang, Q. ; Luo, Hongjun and Lothar Schülke: Critical exponents of the two-layer Ising model
In: Journal of physics / A, 34 (2001) 31, p. 6069-6079
DOI: 10.1088/0305-4470/34/31/302
Luo, Hongjun ; Schülke, Lothar and B. Zheng: Short-time critical dynamics of the two-dimensional random-bond Ising model
In: Physical review / E, 64 (2001) 3, pt. 2, 036123
DOI: 10.1103/PhysRevE.64.036123
Melenk, Jens Markus and Christoph Schwab: Fully discrete hp-finite elements: fast quadrature
In: Computer methods in applied mechanics and engineering, 190 (2001) 32/33, p. 4339-4364
DOI: 10.1016/S0045-7825(00)00322-4
Wohlmuth, B. and Jens Markus Melenk: On residual based a posteriori error estimation in hp-FEM
In: Advances in computational mathematics, 15 (2001) 1/4, p. 311-331
DOI: 10.1023/A:1014268310921
Zheng, B. and Hongjun Luo: Monte Carlo simulations of short-time critical dynamics with a conserved quantity
In: Physical review / E, 63 (2001) 6, pt. 2, 066130
DOI: 10.1103/PhysRevE.63.066130
Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Hybrid Galerkin boundary elements : theory and implementation
In: Numerische Mathematik, 86 (2000) 1, p. 139-172
DOI: 10.1007/PL00005400
Graham, Ivan G. ; Hackbusch, Wolfgang and Stefan A. Sauter: Discrete boundary element methods on general meshes in 3D
In: Numerische Mathematik, 86 (2000) 1, p. 103-137
DOI: 10.1007/PL00005399
Hackbusch, Wolfgang and Boris N. Khoromskij: A sparse H-matrix arithmetic. Part II. Application to multi-dimensional problems
In: Computing, 64 (2000) 1, p. 21-47
MIS-Preprint: 22/1999 DOI: 10.1007/s006070050002
Hackbusch, Wolfgang and Boris N. Khoromskij: A sparse H-matrix arithmetic : general complexity estimates
In: Journal of computational and applied mathematics, 125 (2000) 1-2, p. 479-501
MIS-Preprint: 66/1999 DOI: 10.1016/S0377-0427(00)00486-6
Kunze, Markus and Herbert Spohn: Adiabatic limit for the Maxwell-Lorentz equations
In: Annales Henri Poincaré, 1 (2000) 4, p. 625-653
MIS-Preprint: 38/1999 DOI: 10.1007/PL00001010
Melenk, Jens Markus: On n-widths for elliptic problems
In: Journal of mathematical analysis and applications, 247 (2000) 1, p. 272-289
DOI: 10.1006/jmaa.2000.6862
Melenk, Jens Markus and Christoph Schwab: Spectral Galerkin discretization for hydrodynamic stability problems
In: Computing, 65 (2000) 2, p. 97-118
DOI: 10.1007/s006070070014
Sauter, Stefan A.: Variable order panel clustering
In: Computing, 64 (2000) 3, p. 223-261
MIS-Preprint: 52/1999 DOI: 10.1007/s006070050045
Wang, YX. ; Flad, Heinz-Jürgen and Michael Dolg: Ab initio study of structure and bonding of strontium clusters
In: The journal of physical chemistry / A, 104 (2000) 23, p. 5558-5567
DOI: 10.1021/jp000092e
Wang, YX. ; Flad, Heinz-Jürgen and Michael Dolg: Realistic hybrid model for correlation effects in mercury clusters
In: Physical review / B, 61 (2000) 3, p. 2362-2370
DOI: 10.1103/PhysRevB.61.2362
Wang, YX. ; Flad, Heinz-Jürgen and Michael Dolg: Structural changes induced by an excess electron in small mercury clusters
In: International journal of mass spectrometry, 201 (2000) 1-3, p. 197-204
DOI: 10.1016/S1387-3806(00)00157-3
Braess, D. ; Dryja, M. and Wolfgang Hackbusch: A multigrid method for nonconforming FE-discretisations with application to non-matching grids
In: Computing, 63 (1999) 1, p. 1-25
DOI: 10.1007/s006070050048
Flad, Heinz-Jürgen ; Schautz, Friedemann ; Wang, YX. ; Dolg, Michael and Andreas Savin: On the bonding of small group 12 clusters
In: The European physical journal / D, 6 (1999) 2, p. 243-254
DOI: 10.1007/s100500050341
Hackbusch, Wolfgang: A sparse matrix arithmetic based on H-matrices. I. Introduction to H-matrices
In: Computing, 62 (1999) 2, p. 89-108
DOI: 10.1007/s006070050015
Khoromskij, Boris N. ; Mazurkevich, G. E. and Gabriel Wittum: Frequency filtering for elliptic interface problems with Lagrange multipliers
In: SIAM journal on scientific computing, 21 (1999) 2, p. 421-440
Khoromskij, Boris N. and Gabriel Wittum: An asymptotically optimal Schur complement reduction for the Stokes equation
In: Numerische Mathematik, 81 (1999) 3, p. 345-375
DOI: 10.1007/s002110050396
Khoromskij, Boris N. and Gabriel Wittum: Robust Schur complement method for strongly anisotropic elliptic equations
In: Numerical linear algebra with applications, 6 (1999) 8, p. 621-653
Komech, Alexander ; Kunze, Markus and Herbert Spohn: Effective dynamics for a mechanical particle coupled to a wave field
In: Communications in mathematical physics, 203 (1999) 1, p. 1-19
DOI: 10.1007/s002200050023
Luo, Hongjun ; Schülke, Lothar and B. Zheng: The critical exponent theta ' in spin glasses
In: Modern physics letters / B, 13 (1999) 12/13, p. 417-422
DOI: 10.1142/S021798499900052X
Schautz, Friedemann and Heinz-Jürgen Flad: Quantum Monte Carlo study of the dipole moment of CO
In: The journal of chemical physics, 110 (1999) 24, p. 11700-11707
DOI: 10.1063/1.479170
Schmidt, Gunther and Boris N. Khoromskij: Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains
In: Journal of integral equations and applications, 11 (1999) 2, p. 217-253
DOI: 10.1216/jiea/1181074316
Wang, YX. ; Schautz, Friedemann ; Flad, Heinz-Jürgen and Michael Dolg: On the importance of 5d orbitals for covalent bonding in ytterbium clusters
In: The journal of physical chemistry / A, 103 (1999) 26, p. 5091-5098
DOI: 10.1021/jp9905169
Wolters, Carsten H. ; Beckmann, Rainer F. ; Rienäcker, Adrian and Helmut Buchner: Comparing regularized and non-regularized nonlinear dipole fit methods : a study in a simulated sulcus structure
In: Brain topography, 12 (1999) 1, p. 3-18
MIS-Preprint: 59/1998 DOI: 10.1023/A:1022281005608
Bastian, Peter ; Hackbusch, Wolfgang and Gabriel Wittum: Additive and multiplicative multi-grid : a comparison
In: Computing, 60 (1998) 4, p. 345-364
DOI: 10.1007/BF02684380
Hackbusch, Wolfgang: From classical numerical mathematics to scientific computing
In: Documenta mathematica, Extra Volume ICM 1998, I (1998), p. 235-254
Hackbusch, Wolfgang and Thomas Probst: Downwind Gauß-Seidel-smoothing for convection-dominated problems
In: Zeitschrift für angewandte Mathematik und Mechanik, 78 (1998) Suppl. 3, p. 933-934
DOI: 10.1002/zamm.19980781539
Hackbusch, Wolfgang and Stefan A. Sauter: A new finite element approach for problems containing small geometric details
In: Archivum mathematicum, 34 (1998) 1, p. 105-117
LINK: http://www.emis.ams.org/journals/AM/98-1/hackbu.ps
Hackbusch, Wolfgang and Jens Uwe Wappler: Remarks on a posteriori error estimation for inaccurate finite element solutions
In: Computing, 60 (1998) 2, p. 175-191
DOI: 10.1007/BF02684364
Khoromskij, Boris N. and Siegfried Prössdorf: Fast computations with the harmonic Poincaré-Steklov operators on nested refined meshes
In: Advances in computational mathematics, 8 (1998) 1/2, p. 111-135
DOI: 10.1023/A:1018988028583
Khoromskij, Boris N. and Gunther Schmidt: A fast interface solver for the biharmonic Dirichlet problem on polygonal domains
In: Numerische Mathematik, 78 (1998) 4, p. 577-596
DOI: 10.1007/s002110050326
Luo, Hongjun ; Schulz, M. ; Schülke, Lothar ; Trimper, S. and B. Zheng: Short-time dynamic behaviour of critical XY systems
In: Physics Letters / A, 250 (1998) 4/6, p. 383-388
DOI: 10.1016/S0375-9601(98)80003-0
Luo, Hongjun ; Schülke, Lothar and B. Zheng: Universal short-time behavior of the dynamic fully frustrated XY model
In: Physical review / E, 57 (1998) 2, p. 1327-1334
DOI: 10.1103/PhysRevE.57.1327
Luo, Hongjun ; Schülke, Lothar and B. Zheng: Dynamic approach to the fully frustrated XY model
In: Physical review letters, 81 (1998) 1, p. 180-183
DOI: 10.1103/PhysRevLett.81.180
Ying, Heping ; Luo, Hongjun ; Schülke, Lothar and B. Zheng: Dynamic Monte Carlo study of the two-dimensional quantum XY model
In: Modern physics letters / B, 12 (1998) 29/30, p. 1237-1243
DOI: 10.1142/S0217984998001463
Dryja, M. and Wolfgang Hackbusch: On the nonlinear domain decomposition method
In: BIT : numerical mathematics, 37 (1997) 2, p. 296-311
DOI: 10.1007/BF02510214
Hackbusch, Wolfgang: On the feedback vertex set problem for a planar graph
In: Computing, 58 (1997) 2, p. 129-155
DOI: 10.1007/BF02684436
Hackbusch, Wolfgang: Numerische Mathematik und ihre Wechselwirkung mit der gegenwärtigen Rechnerentwicklung
In: Berichte und Abhandlungen / Berlin-Brandenburgische Akademie der Wissenschaften, 4 (1997), p. 55-67
Hackbusch, Wolfgang and Thomas Probst: Downwind Gauß-Seidel smoothing for convection dominated problems
In: Numerical linear algebra with applications, 4 (1997) 2, p. 85-102
Hackbusch, Wolfgang and Stefan A. Sauter: Composite finite elements for problems containing small geometric details : Part II: Implementation and numerical results
In: Computing and visualization in science, 1 (1997) 1, p. 15-25
DOI: 10.1007/s007910050002
Hackbusch, Wolfgang and Stefan A. Sauter: Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
In: Numerische Mathematik, 75 (1997) 4, p. 447-472
DOI: 10.1007/s002110050248
Lorenz, S. ; Solterbeck, C. ; Schattke, W. ; Burmeister, Jens and Wolfgang Hackbusch: Electron-scattering states at solid surfaces calculated with realistic potentials
In: Physical review / B, 55 (1997) 20, p. R13432-R13435
DOI: 10.1103/PhysRevB.55.R13432
Luo, Hongjun and B. Zheng: Critical relaxation and critical exponents
In: Modern physics letters / B, 11 (1997) 14, p. 615-623
DOI: 10.1142/S0217984997000761
Hackbusch, Wolfgang and Stefan A. Sauter: Adaptive composite finite elements for the solution of PDEs containing nonuniformely distributed micro-scales
In: Matematiceskoe modelirovanie = Mathematical modeling, 8 (1996) 9, p. 31-43
Khoromskij, Boris N.: On fast computations with the inverse to harmonic potential operators via domain decomposition
In: Numerical linear algebra with applications, 3 (1996) 2, p. 91-111
Khoromskij, Boris N. and Gunther Schmidt: Asymptotically optimal interface solvers for the biharmonic Dirichlet problem on convex polygonal domains : [ICIAM/GAMM 95 (Hamburg, 1995)]
In: Zeitschrift für angewandte Mathematik und Mechanik, 76 (1996) suppl. 1, p. 231-234
Khoromskij, Boris N. and Gabriel Wittum: Robust iterative methods for elliptic problems with highly varying coefficients in thin substructures
In: Numerische Mathematik, 73 (1996) 4, p. 449-472
DOI: 10.1007/s002110050200
Hackbusch, Wolfgang: A note on Reusken's Lemma
In: Computing, 55 (1995) 2, p. 181-189
DOI: 10.1007/BF02238100
Khoromskij, Boris N. and G. E. Mazurkevich: Interface problem in substructuring techniques for heat equations
In: Siberian journal of computer mathematics, 2 (1995) 1, p. 1-13
Khoromskij, Boris N. and Siegfried Prössdorf: Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation
In: Advances in computational mathematics, 4 (1995) 1, p. 331-355
DOI: 10.1007/BF02123480
Hackbusch, Wolfgang and Stefan A. Sauter: On numerical cubatures of nearly singular surface integrals arising in BEM collocation
In: Computing, 52 (1994) 2, p. 139-159
DOI: 10.1007/BF02238073
Hebeker, F.-K. and Boris N. Khoromskij: Geometry-independent preconditioners for boundary interface operators in elliptic problems
In: East west journal of numerical mathematics, 2 (1994) 1, p. 47-63
Zhidkov, E. P. ; Akishin, P. G. ; Amirkhanov, I. V. ; Zhidkova, I. E. and Boris N. Khoromskij: Some problems of mathematical simulation of accelerators
In: Matematiceskoe modelirovanie = Mathematical modeling, 6 (1994) 6, p. 32-46
LINK: http://mi.mathnet.ru/eng/mm/v6/i6/p32
Hackbusch, Wolfgang and Stefan A. Sauter: On the efficient use of the Galerkin-method to solve Fredholm integral equations
In: Applications of mathematics, 38 (1993) 4-5, p. 301-322
LINK: http://dml.cz/dmlcz/104558
Khoromskij, Boris N. and W. L. Wendland: Spectrally equivalent preconditioners for boundary equations in substructuring techniques
In: East west journal of numerical mathematics, 1 (1993) 1, p. 1-26
Hackbusch, Wolfgang: Comparison of different multi-grid variants for nonlinear equations
In: Zeitschrift für angewandte Mathematik und Mechanik, 72 (1992) 2, p. 148-151
DOI: 10.1002/zamm.19920720214
Hackbusch, Wolfgang: A parallel conjugate gradient method
In: Journal of numerical linear algebra with applications, 1 (1992) 2, p. 133-147
Hackbusch, Wolfgang: The frequency decomposition multi-grid method - Part II : Convergence analysis based on the additive Schwarz method
In: Numerische Mathematik, 63 (1992) 1, p. 433-453
DOI: 10.1007/BF01385869
Hackbusch, Wolfgang: The solution of large systems of BEM equations by the multi-grid and panel clustering technique
In: Rendiconti del Seminario Matematico, 49 (1991) Special issue, p. 163-187
LINK: http://seminariomatematico.dm.unito.it/rendiconti/cartaceo/49-s/163.pdf
Ajryan, E. A. ; Zhidkov, E. P. ; Fedorov, Andrej V. ; Khoromskij, Boris N. ; Shelaev, I. ; Yudin, I. P. and O. I. Yuldashev: Numerical algorithms of magnet systems simulations for charged particles accelerators
In: Fizika elementarnych castic i atomnogo jadra : ecaja ; naucnyj obzornyj zurnal = Physics of elementary particles and atomic nuclei, 21 (1990) 1, p. 251-307
Ajryan, E. A. ; Zhidkov, E. P. ; Fedorov, Andrej V. ; Khoromskij, Boris N. ; Shelaev, I. ; Yudin, I. P. and O. I. Yuldashev: Numerical algorithms for the calculation of magnet systems for charged-particle accelerators
In: Soviet journal of particles and nuclei, 21 (1990) 1, p. 106-130
Khoromskij, Boris N. ; Mazurkevich, G. E. and E. P. Zhidkov: Domain decomposition method for magnetostatics nonlinear problems in combined formulation
In: Soviet journal of numerical analysis and mathematical modelling, 5 (1990) 2, p. 111-136
DOI: 10.1515/rnam.1990.5.2.111
Zhidkov, E. P. ; Mazurkevich, G. E. ; Khoromskij, Boris N. and I. P. Yudin: Numerical calculations of space distributuion of dipole magnet
In: Matematiceskoe modelirovanie = Mathematical modeling, 2 (1990) 5, p. 8-17
LINK: http://mi.mathnet.ru/eng/mm/v2/i5/p8
Zhidkov, E. P. ; Nikonov, E. G. and Boris N. Khoromskij: Asymptotic estimates for the error of approximation by the Galerkin method for a class of quasipotential equations
In: USSR computational mathematics and mathematical physics : cover-to-cover transl. of Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 30 (1990) 3, p. 133-140
DOI: 10.1016/0041-5553(90)90201-3
Zhidkov, E. P. ; Nikonov, E. G. and Boris N. Khoromskij: Asymptotic estimates for the error of approximation by the Galerkin method for a class of quasipotential equations
In: Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 30 (1990) 6, p. 826-836
Hackbusch, Wolfgang: On first and second order box schemes
In: Computing, 41 (1989) 4, p. 277-296
DOI: 10.1007/BF02241218
Hackbusch, Wolfgang: The frequency decomposition multi-grid method - Part I : Application to anisotropic equations
In: Numerische Mathematik, 56 (1989) 2/3, p. 229-245
DOI: 10.1007/BF01409786
Hackbusch, Wolfgang and Zenon Paul Nowak: On the fast matrix multiplication in the boundary element method by panel clustering
In: Numerische Mathematik, 54 (1989) 4, p. 463-491
DOI: 10.1007/BF01396324
Hackbusch, Wolfgang and Arnold Reusken: Analysis of a damped nonlinear multilevel method
In: Numerische Mathematik, 55 (1989) 2, p. 225-246
DOI: 10.1007/BF01406516
Zhidkov, E. P. ; Nikonov, E. G. and Boris N. Khoromskij: Solution of eigenvalue problem for a class of hypersingular quasipotential integral equations
In: Matematiceskoe modelirovanie = Mathematical modeling, 1 (1989) 11, p. 77-91
LINK: http://mi.mathnet.ru/eng/mm/v1/i11/p77
Hackbusch, Wolfgang: The frequency decomposition multi-grid method
In: Wissenschaftliche Beiträge / Ingenieurhochschule Wismar, 13 (1988) 5.I, p. 36-47
Khoromskij, Boris N. and E. P. Zhidkov: Numerical methods on a sequence of grids and their applications in magnetostatics and theoretical physics problems
In: Fizika elementarnych castic i atomnogo jadra : ecaja ; naucnyj obzornyj zurnal = Physics of elementary particles and atomic nuclei, 13 (1988) 3, p. 622-668
Nowak, Zenon Paul and Wolfgang Hackbusch: O cloznosti metoda panelej
In: Vychislitel'nye protsessy i sistemy, 6 (1988), p. 233-244
Zhidkov, E. P. and Boris N. Khoromskij: Some economical algorithms using matrices of Toeplitz type
In: Vychislitel'nye protsessy i sistemy, 6 (1988), p. 134-144
Zhidkov, E. P. and Boris N. Khoromskij: Boundary integral equations on special surfaces and their applications
In: Soviet journal of numerical analysis and mathematical modelling, 2 (1987) 6, p. 463-488
DOI: 10.1515/rnam.1987.2.6.463
Hackbusch, Wolfgang: Schnelle Löser für partielle Differentialgleichungen
In: Praxis der Mathematik : PM, 27 (1985) 8, p. 478-501
Hackbusch, Wolfgang: Local defect correction method and domain decomposition techniques
In: Computing / Supplementum, 5 (1984), p. 89-113
Hackbusch, Wolfgang: Multigrid convergence for a singular perturbation problem
In: Linear algebra and its applications, 58 (1984), p. 125-145
DOI: 10.1016/0024-3795(84)90208-8
Hackbusch, Wolfgang: Multi-grid solutions to linear and nonlinear eigenvalue problems for integral and differential equations
In: Rostocker Mathematisches Kolloquium, 25 (1984), p. 79-98
Khoromskij, Boris N.: An integro-difference method for solving the Dirichlet problem for the Laplace equation
In: Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 24 (1984) 1, p. 53-64
Khoromskij, Boris N.: An integro-difference method of solving the dirichlet problem for Laplace's equation
In: USSR computational mathematics and mathematical physics : cover-to-cover transl. of Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 24 (1984) 1, p. 32-39
DOI: 10.1016/0041-5553(84)90114-9
Ayrjan, E. A. ; Zhidkov, E. P. and Boris N. Khoromskij: Fast relaxation method for solving the difference problem for the poisson equation on a sequence of grids
In: Computer physics communications, 29 (1983) 2, p. 125-130
DOI: 10.1016/0010-4655(83)90068-1
Braess, Dietrich and Wolfgang Hackbusch: A new convergence proof for the multigrid method including the V-cycle
In: SIAM journal on numerical analysis, 20 (1983) 5, p. 967-975
DOI: 10.1137/0720066
Hackbusch, Wolfgang: On the regularity of difference schemes Part II : Regularity estimates for linear and nonlinear problems
In: Arkiv för matematik, 21 (1983) 1/2, p. 3-28
DOI: 10.1007/BF02384298
Hackbusch, Wolfgang and Hans D. Mittelmann: On multi-grid methods for variational inequalities
In: Numerische Mathematik, 42 (1983) 1, p. 65-76
DOI: 10.1007/BF01400918
Hackbusch, Wolfgang and Thomas Will: A numerical method for a parabolic bang-bang problem
In: Control and cybernetics, 12 (1983) 3/4, p. 99-116
Hackbusch, Wolfgang: A note on the penalty correction method
In: Zeitschrift fuer Analysis und ihre Anwendungen, 1 (1982) 2, p. 59-69
DOI: 10.4171/ZAA/14
Hackbusch, Wolfgang: Fast numerical solution of time-periodic parabolic problems by a multigrid method
In: SIAM journal on scientific computing, 2 (1981) 2, p. 198-206
DOI: 10.1137/0902017
Hackbusch, Wolfgang: Optimal $H^{p,{p/2}} $ error estimates for a parabolic galerkin method
In: SIAM journal on numerical analysis, 18 (1981) 4, p. 681-692
DOI: 10.1137/0718045
Hackbusch, Wolfgang: Error analysis of the nonlinear multi-grid method of the second kind
In: Aplikace matematiky = Matematicky ústav, 26 (1981) 1, p. 18-29
LINK: http://www.dml.cz/handle/10338.dmlcz/103891
Hackbusch, Wolfgang: On the regularity of difference schemes
In: Arkiv för matematik, 19 (1981) 1/2, p. 71-95
DOI: 10.1007/BF02384470
Hackbusch, Wolfgang: On the convergence of multi-grid iterations
In: Beiträge zur numerischen Mathematik, 9 (1981), p. 213-239
Hackbusch, Wolfgang: Bemerkungen zur iterierten Defektkorrektur und zu ihrer Kombination mit Mehrgitterverfahren
In: Revue roumaine de mathématiques pures et appliquées = Romanian journal of pure and applied mathematics, 26 (1981) 10, p. 1319-1329
Hackbusch, Wolfgang: Die schnelle Auflösung der Fredholmschen Integralgleichung zweiter Art
In: Beiträge zur numerischen Mathematik, 9 (1981), p. 47-62
Nguen, Mong ; Khoromskij, Boris N. and R. M. Yamaleev: Improvement of the accuracy of finite-difference solutions of an eigenvalue problem for an integrodifferential equation
In: Differential equations : English translation of Differencial'nye uravneniya, 16 (1981), p. 822-829
Zhidkov, E. P. ; Nguen, Mong and Boris N. Khoromskij: Method of improving accuracy of approximate solutions for nonlinear singular integral equations of Chew-Low type
In: USSR computational mathematics and mathematical physics : cover-to-cover transl. of Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 21 (1981) 4, p. 149-158
DOI: 10.1016/0041-5553(81)90042-2
Zhidkov, E. P. ; Nguen, Mong and Boris N. Khoromskij: Increasing the accuracy of approximate solutions of a nonlinear singular integral equation of Chew-Low type
In: Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 21 (1981) 4, p. 962-969
Hackbusch, Wolfgang: The fast numerical solution of very large elliptic difference schemes
In: Journal of the Institute of Mathematics and its Applications, 26 (1980), p. 119-132
DOI: 10.1093/imamat/26.2.119
Hackbusch, Wolfgang: Fast solution of elliptic control problems
In: Journal of optimization theory and applications, 31 (1980) 4, p. 565-581
DOI: 10.1007/BF00934478
Hackbusch, Wolfgang: Convergence of multi-grid iterations applied to difference equations
In: Mathematics of computation, 34 (1980) 150, p. 425-440
LINK: http://www.jstor.org/stable/2006094
Hackbusch, Wolfgang and Götz Hofmann: Results of the eigenvalue problem for the plate equation
In: Zeitschrift für Angewandte Mathematik und Physik, 31 (1980), p. 730-739
DOI: 10.1007/BF01594119
Nguen, Mong ; Khoromskij, Boris N. and R. M. Yamaleev: Increasing the accuracy of difference solutions of an eigenvalue problem for an integro-differential equation
In: Differencial'nye uravnenija, 16 (1980) 7, p. 1293-1302
Dittrich, Susanne and Wolfgang Hackbusch: A method of characteristics solving the initial-boundary value problem of a hyperbolic differential equation of second order
In: Numerische Mathematik, 34 (1979) 3, p. 217-234
DOI: 10.1007/BF01396700
Hackbusch, Wolfgang: On the fast solutions of nonlinear elliptic equations
In: Numerische Mathematik, 32 (1979) 1, p. 83-95
DOI: 10.1007/BF01397652
Hackbusch, Wolfgang: On the fast solving of parabolic boundary control problems
In: SIAM journal on control and optimization, 17 (1979) 2, p. 231-244
DOI: 10.1137/0317018
Hackbusch, Wolfgang: On the computation of approximate eigenvalues and eigenfunctions of elliptic operators by means of a multi-grid method
In: SIAM journal on numerical analysis, 16 (1979) 2, p. 201-215
DOI: 10.1137/0716015
Zhidkov, E. P. ; Nguen, Mong ; Nedalkov, I. P. and Boris N. Khoromskij: Investigation of a class of solutions of the Low equation
In: USSR computational mathematics and mathematical physics : cover-to-cover transl. of Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 19 (1979) 4, p. 210-227
DOI: 10.1016/0041-5553(79)90168-X
Zhidkov, E. P. ; Nguen, Mong ; Nedalkov, I. P. and Boris N. Khoromskij: Investigation of a class of solutions for Low equation
In: Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 19 (1979) 4, p. 998-1014
Hackbusch, Wolfgang: On the multi-grid method applied to difference equations
In: Computing, 20 (1978) 4, p. 291-306
DOI: 10.1007/BF02252378
Hackbusch, Wolfgang: A numerical method for solving parabolic equations with opposite orientations
In: Computing, 20 (1978) 3, p. 229-240
DOI: 10.1007/BF02251947
Hackbusch, Wolfgang: On a method of characteristics for solving a hyperbolic equation of second order
In: Computing, 20 (1978) 1, p. 47-60
DOI: 10.1007/BF02241901
Wiesner, Jan ; Zhidkov, E. P. ; Lelek, Vladimir ; Malyshev, R. V. ; Khoromskij, Boris N. ; Khristov, E. Kh. and Ivan Ulehla: Iteration methods for the solution of the inverse problem of scattering theory
In: Fizika elementarnych castic i atomnogo jadra : ecaja ; naucnyj obzornyj zurnal = Physics of elementary particles and atomic nuclei, 9 (1978) 3, p. 710-768
Gareev, F. A. ; Goncharov, S. A. ; Zhidkov, E. P. ; Puzynin, I. V. ; Khoromskij, Boris N. and R. M. Yamaleev: Numerical solution of eigenvalue problems for nuclear-theory integro-differential equations
In: Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 17 (1977) 2, p. 407-419
Gareev, F. A. ; Goncharov, S. A. ; Zhidkov, E. P. ; Puzynin, I. V. ; Khoromskij, Boris N. and R. M. Yamaleev: Numerical solution of eigenvalue problems for nuclear-theory integro-differential equations
In: USSR computational mathematics and mathematical physics : cover-to-cover transl. of Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki, 17 (1977) 2, p. 116-128
DOI: 10.1016/0041-5553(77)90041-6
Hackbusch, Wolfgang: Extrapolation applied to certain discretization methods solving the initial value problem for hyperbolic differential equations
In: Numerische Mathematik, 28 (1977) 2, p. 121-142
DOI: 10.1007/BF01394448
Hackbusch, Wolfgang: Extrapolation to the limit for numerical solutions of hyperbolic equations
In: Numerische Mathematik, 28 (1977) 4, p. 455-474
DOI: 10.1007/BF01404347
Zhidkov, E. P. and Boris N. Khoromskij: On the local convergence of iterative methods for solving nonlinear operator equations
In: Doklady Akademii Nauk, 231 (1976) 5, p. 1052-1055
Zhidkov, E. P. and Boris N. Khoromskij: On the local convergence of iterative methods for solving nonlinear operator equations
In: Soviet mathematics - doklady, 17 (1976) 6, p. 1692-1696
Busch, Wolfgang ; Esser, Rüdiger and Wolfgang Hackbusch: Extrapolation applied to the method of characteristics for a first order system of two partial differential equation - Part one : The initial value problem
In: Numerische Mathematik, 24 (1975) 4, p. 331-353
DOI: 10.1007/BF01397373