# MSC number index 6

**60**- 2/2010 - Effective complexity of stationary process realizations

**60-XX - Probability theory and stochastic processes****60-xx****60A05****60A10****60B05**- 8/2011 - Stability of the global attractor under Markov-Wasserstein noise

**60B10**- 8/2011 - Stability of the global attractor under Markov-Wasserstein noise

**60B99**- 16/2013 - Computing medians and means in Hadamard spaces

**60C05**- 106/2014 - Discrete Restricted Boltzmann Machines
- 98/2014 - When Does a Mixture of Products Contain a Product of Mixtures?
- 74/2014 - Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units
- 57/2008 - Neighborliness of Marginal Polytopes
- 30/2008 - Hierarchical Models, Marginal Polytopes, and Linear Codes

**60E05**- 73/2011 - Optimally approximating exponential families

**60E15****60F05**- 97/2006 - Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point

**60F10**- 30/2006 (
*Lecture note*) - Mathematical Statistical Mechanics - 86/2018 - A generalization of Strassen's Positivstellensatz and its application to large deviation theory
- 107/2014 - Shadowing in linear skew product
- 9/2008 - Large Deviations For The Stochastic Shell Model of Turbulence
- 93/2007 - About large deviations for empirical path measures of cycle counts of integer partitions and their relation to systems of Bosons
- 77/2007 - Interacting Brownian motions and the Gross-Pitaevskii formula
- 39/2007 - The Allen-Cahn action functional in higher dimensions
- 13/2007 - Large deviations for empirical path measures in cycles of integer partitions
- 114/2006 - Asymptotic Feynman-Kac Formulae for Large Symmetrised Systems of Random walks
- 97/2006 - Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point
- 36/2006 - Large deviations for many Brownian bridges with symmetrised initial-terminal condition
- 119/2005 - Large systems of path-repellent Brownian motions in a trap at positive temperature
- 70/2005 - Tunneling in two dimensions
- 5/2005 - Instability of interface under forced displacements
- 89/2004 - Large deviations for trapped interacting Brownian particles and paths

- 30/2006 (
**60F17**- 71/2014 - Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations

**60F99**- 91/2013 - Quantification of ergodicity in stochastic homogenization: Optimal bounds via spectral gap on Glauber dynamics
- 41/2013 - An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
- 3/2013 - Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics --- long version
- 28/2010 - An optimal error estimate in stochastic homogenization of discrete elliptic equations

**60G07**- 109/2006 - The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels

**60G17**(Sample path properties )- 42/1997 - Function spaces as path spaces of Feller processes

**60G25**- 55/2015 - The Information Bottleneck Method for Optimal Prediction of Multilevel Agent-based Systems

**60G35**- 9/2005 - Self-tuning to the Hopf bifurcation in fluctuating systems

**60G5**- 37/2008 - General existence and uniqueness of viscosity solutions for impulse control of jump-diffusions

**60G60**- 30/2006 (
*Lecture note*) - Mathematical Statistical Mechanics

- 30/2006 (
**60GXX**- 45/2018 - Stochastic FitzHugh-Nagumo neuron model in excitable regime embeds a leaky integrate-and-fire model

**60H15**- 25/2018 - Tucker tensor analysis of Matérn functions in spatial statistics
- 59/2014 - Computation of the Response Surface in the Tensor Train data format
- 92/2013 - Degenerate parabolic stochastic partial differential equations: Quasilinear case
- 51/2012 - Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients
- 28/2012 - Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats
- 9/2008 - Large Deviations For The Stochastic Shell Model of Turbulence

**60H25**- 47/2016 - A Liouville theorem for elliptic systems with degenerate ergodic coefficients
- 46/2016 - On the Exit Time and Stochastic Homogenization of Isotropic Diffusions in Large Domains
- 45/2016 - Exit Laws of Isotropic Diffusions in Random Environment from Large Domains
- 34/2016 - Green's function for elliptic systems: Existence and Delmotte-Deuschel bounds
- 13/2015 - On annealed elliptic Green function estimates
- 71/2014 - Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
- 91/2013 - Quantification of ergodicity in stochastic homogenization: Optimal bounds via spectral gap on Glauber dynamics
- 41/2013 - An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
- 3/2013 - Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics --- long version
- 69/2012 - Annealed estimates on the Green's function
- 28/2010 - An optimal error estimate in stochastic homogenization of discrete elliptic equations

**60H35****60H99**- 91/2018 - The rough Veronese variety

**60J05**- 25/2011 - Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator

**60J10****60J25****60J27**- 28/2015 - The free energy method and the Wright-Fisher model with 2 alleles

**60J30**(Processes with independent increments )- 42/1997 - Function spaces as path spaces of Feller processes

**60J35**(Transition functions, generators and resolvents)**60J45****60J60**- 46/2016 - On the Exit Time and Stochastic Homogenization of Isotropic Diffusions in Large Domains
- 45/2016 - Exit Laws of Isotropic Diffusions in Random Environment from Large Domains
- 28/2015 - The free energy method and the Wright-Fisher model with 2 alleles
- 22/2013 - A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps
- 64/2012 - Schauder a priori estimates and regularity of solutions to degenerate-elliptic linear second-order partial differential equations
- 50/2012 - Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations
- 40/2012 - Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape

**60J65**- 93/2007 - About large deviations for empirical path measures of cycle counts of integer partitions and their relation to systems of Bosons
- 77/2007 - Interacting Brownian motions and the Gross-Pitaevskii formula
- 13/2007 - Large deviations for empirical path measures in cycles of integer partitions
- 114/2006 - Asymptotic Feynman-Kac Formulae for Large Symmetrised Systems of Random walks
- 100/2006 - Expected volume of intersection of Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary
- 36/2006 - Large deviations for many Brownian bridges with symmetrised initial-terminal condition
- 9/2006 - Quantum diffusion of the random Schr\"odinger evolution in the scaling limit II. The recollision diagrams.
- 8/2006 - Quantum diffusion of the random Schr\"odinger evolution in the scaling limit I. The non-recollision diagrams.
- 119/2005 - Large systems of path-repellent Brownian motions in a trap at positive temperature
- 89/2004 - Large deviations for trapped interacting Brownian particles and paths

**60J75**(Jump processes )- 53/2008 - On hypoellipticity of generators of L\'{e}vy processes
- 109/2006 - The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels
- 15/2006 - An Analytic Approach to Purely Nonlocal Bellman Equations Arising in Models of Stochastic Control
- 42/1997 - Function spaces as path spaces of Feller processes

**60Jxx**- 4/2015 - Operator-theoretic identification of closed sub-systems of dynamical systems

**60K35**(Interacting random processes, statistical mechanics type models, percolation theory)- 60/2016 - Heat kernel upper bounds for interacting particle systems
- 5/2011 - Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential.
- 31/2010 - LSI for Kawasaki dynamics with weak interaction
- 2/2008 - Strict convexity of the free energy for non-convex gradient models at moderate β
- 157/2006 - Lectures on statistical physics
- 2/2005 - Two scale hydrodynamic limit for a model of malignant tumor cells
- 58/2003 - Multi-information in the thermodynamic limit
- 71/2000 - Mesoscopic limit for non-isothermal phase transition

**60K37**- 47/2016 - A Liouville theorem for elliptic systems with degenerate ergodic coefficients
- 46/2016 - On the Exit Time and Stochastic Homogenization of Isotropic Diffusions in Large Domains
- 45/2016 - Exit Laws of Isotropic Diffusions in Random Environment from Large Domains
- 25/2016 - Quantitative homogenization of degenerate random environments
- 33/2009 - Bounds on the speed and on regeneration times for certain processes on regular trees
- 63/2008 - On the equivalence of the static and dynamic point of view for diffusions in a random environment

**60K99****60XX**- 58/2003 - Multi-information in the thermodynamic limit

**62****62-0**- 21/2018 - Equations defining probability tree models

**62-04**- 27/2011 - Expressive Power and Approximation Errors of Restricted Boltzmann Machines

**62-XX - Statistics****62-xx**- 84/2007 - Asymptotic Error Rates in Quantum Hypothesis Testing

**6205**- 77/2003 - C
^{1}-statistical manifolds are statistical models

- 77/2003 - C
**62B05****62B10**- 55/2015 - The Information Bottleneck Method for Optimal Prediction of Multilevel Agent-based Systems
- 31/2013 - Maximal Information Divergence from Statistical Models defined by Neural Networks
- 72/2011 - Entropy Distance: New Quantum Phenomena
- 15/2011 - Selection Criteria for Neuromanifolds of Stochastic Dynamics
- 82/2009 - Finding the Maximizers of the Information Divergence from an Exponential Family
- 103/2005 - A Note on Equivalence of Bipartite States under Local Unitary Transformations
- 46/2003 - On maximization of the information divergence from an exponential family

**62B15**- 74/2017 - Coarse-graining and the Blackwell Order

**62D05**- 20/2011 - Universally Typical Sets for Ergodic Sources of Multidimensional Data

**62E17**- 73/2011 - Optimally approximating exponential families

**62E99**- 16/2013 - Computing medians and means in Hadamard spaces

**62F15**- 10/2015 - The homological nature of entropy

**62F30****62G10**- 54/2011 - An asymptotic error bound for testing multiple quantum hypotheses

**62H20****62M20**- 55/2015 - The Information Bottleneck Method for Optimal Prediction of Multilevel Agent-based Systems

**62P10**- 10/2007 - The probability of HIV infection in a new host and its reduction with microbicides

**62P35**- 54/2011 - An asymptotic error bound for testing multiple quantum hypotheses

**65**- 32/2009 - An Atomistic to Continuum Model for Biopolymers Self-Assembled Aggregation

**65-XX - Numerical analysis****65499**- 77/2010 - Fast Evaluation of Singular BEM Integrals Based on Tensor Approximations

**65B99****65C05**- 39/2008 - Mathematical strategies in the coarse-graining of extensive systems: error quantification and adaptivity
- 38/2008 - From mesoscale back to microscale: Reconstruction schemes for coarse-grained stochastic lattice systems
- 75/2006 - Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems

**65C20**- 47/2018 - Adaptive Stochastic Galerkin FEM for Lognormal Coefficients in Hierarchical Tensor Representations
- 39/2008 - Mathematical strategies in the coarse-graining of extensive systems: error quantification and adaptivity
- 38/2008 - From mesoscale back to microscale: Reconstruction schemes for coarse-grained stochastic lattice systems
- 75/2006 - Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems

**65C30**- 59/2014 - Computation of the Response Surface in the Tensor Train data format

**65D05****65D10**- 151/2006 - Sampling Inequalities for Infinitely Smooth Functions, with Applications to Interpolation and Machine Learning

**65D15**- 80/2017 - Computation of Best L
^{∞}Exponential Sums for 1∕x by Remez’ Algorithm - 80/2011 - Fast solution of multi-dimensional parabolic problems in the TT/QTT-format with initial application to the Fokker-Planck equation
- 46/2006 - Accelerating Galerkin BEM for Linear Elasticity using Adaptive Cross Approximation
- 10/2004 - Fast Parallel Solution of Boundary Integral Equations and Related Problems

- 80/2017 - Computation of Best L
**65D18**- 65/2014 - Metric Curvature Revisited - A Brief Overview

**65D19**- 39/2017 - Changing Views on Curves and Surfaces

**65D30**- 108/2014 - Tensor Numerical Methods for Multidimensional PDEs: Theoretical Analysis and Initial Applications

**65D32****65D99**- 92/2007 - Construction of data-sparse
^{2}-matrices by hierarchical compression

- 92/2007 - Construction of data-sparse
**65F05**(Direct methods for linear systems and matrix inversion )- 10/2008 (
*Technical report*) - HLIBpro C Language Interface - 9/2008 (
*Technical report*) - HLIBpro User Manual - 21/2003 (
*Lecture note*) - Hierarchical Matrices - 5/2014 - ℋ-LU Factorization on Many-Core Systems
- 59/2012 - Partial evaluation of the discrete solution of elliptic boundary value problems
- 33/2011 - Rapid error reduction for block Gauss-Seidel based on p-hierarchical bases
- 65/2008 - Performance of H-LU Preconditioning for Sparse Matrices
- 85/2007 - Approximation of solution operators of elliptic partial differential equations by - and
^{2}-matrices - 46/2006 - Accelerating Galerkin BEM for Linear Elasticity using Adaptive Cross Approximation
- 115/2005 - Parallel Black Box Domain Decomposition Based -LU Preconditioning
- 84/2005 - Nonlinear multigrid for the solution of large scale Riccati equations in low-rank and -matrix format
- 78/2005 - On the numerical solution of convection-dominated problems using hierarchical matrices
- 44/2005 - Data-sparse approximation of non-local operators by
^{2}-matrices - 8/2005 - Why approximate LU decompositions of finite element discretizations of elliptic operators can be computed with almost linear complexity
- 62/2004 - -matrix preconditioners in convection-dominated problems
- 48/2004 - A Multigrid Method to Solve Large Scale Sylvester Equations
- 29/2004 - Parallel -Matrix Arithmetics on Shared Memory Systems
- 28/2004 - Hierarchical LU decomposition based preconditioners for BEM
- 19/2004 - Adaptive Geometrically Balanced Clustering of -Matrices
- 10/2004 - Fast Parallel Solution of Boundary Integral Equations and Related Problems
- 7/2004 - Approximate Inverse Preconditioning of FE Systems for Elliptic Operators with non-smooth Coefficients
- 6/2004 - Efficient Inversion of the Galerkin Matrix of General Second Order Elliptic Operators with Non-Smooth Coefficients
- 48/2003 - Existence and Computation of a Low Kronecker-Rank Approximant to the Solution of a Tensor System with Tensor Right-Hand Side
- 5/2003 - Approximation of boundary element operators by adaptive
^{2}-matrices - 103/2002 - Construction and Arithmetics of -Matrices
- 62/2002 - Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
- 23/2002 - Direct Domain Decomposition using the Hierarchical Matrix Technique
- 21/2002 - Existence of -Matrix Approximants to the Inverse FE-Matrix of Elliptic Operators with L
^{∞}-Coefficients - 18/2002 - Introduction to Hierarchical Matrices with Applications
- 106/2001 - Adaptive refinement and clustering of -matrices
- 105/2001 - An introduction to hierarchical matrices
- 86/2001 - Data-sparse approximation by adaptive -Matrices
- 66/2000 - Blended kernel approximation in the -matrix techniques
- 15/2000 - Towards -matrix approximation of linear complexity
- 66/1999 - A sparse -matrix arithmetic: general complexity estimates
- 50/1999 - On H
^{2}-Matrices - 22/1999 - A sparse -Matrix Arithmetic, Part II: Application to Multi-Dimensional Problems

- 10/2008 (
**65F08****65F10**(Iterative methods for linear systems)- 27/2005 (
*Lecture note*) - An Introduction to Structured Tensor-Product Representation of Discrete Nonlocal Operators. - 12/2019 - Computing electrostatic potentials using regularization based on the range-separated tensor format
- 104/2018 - Range-separated tensor representation of the discretized multidimensional Dirac delta and elliptic operator inverse
- 81/2018 - Tensor approach to optimal control problems with fractional d-dimensional elliptic operator in constraints
- 35/2018 - Computing the density of states for optical spectra by low-rank and QTT tensor approximation
- 47/2017 - A numerical primer in 2D stochastic homogenization: CLT scaling in the Representative Volume Element
- 12/2017 - Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach
- 10/2017 - Rank structured approximation method for quasi--periodic elliptic problems
- 39/2016 - Range-separated tensor formats for numerical modeling of many-particle interaction potentials
- 35/2016 - Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis
- 14/2016 - Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation
- 65/2015 - Fast tensor method for summation of long-range potentials on 3D lattices with defects
- 63/2015 - A fast iteration method for solving elliptic problems with quasiperiodic coefficients
- 32/2015 - A reduced basis approach for calculation of the Bethe-Salpeter excitation energies using low-rank tensor factorizations
- 19/2015 - Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States
- 88/2014 - Tucker tensor method for fast grid-based summation of long-range potentials on 3D lattices with defects
- 62/2014 - Tensor Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems
- 59/2014 - Computation of the Response Surface in the Tensor Train data format
- 116/2013 - Grid-based lattice summation of electrostatic potentials by low-rank tensor approximation
- 103/2013 - Superfast Wavelet Transform Using QTT Approximation. I: Haar Wavelets
- 90/2013 - Black-Box Hartree-Fock Solver by the Tensor Numerical Methods
- 59/2013 - Computation of extreme eigenvalues in higher dimensions using block tensor train format
- 26/2013 - Møller-Plesset (MP2) Energy Correction Using Tensor Factorizations of the Grid-based Two-electron Integrals
- 10/2013 - Alternating minimal energy methods for linear systems in higher dimensions. Part I: SPD systems
- 68/2012 - Tensor-product approach to global time-space-parametric discretization of chemical master equation
- 51/2012 - Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients
- 29/2012 - Tensor-structured factorized calculation of two-electron integrals in a general basis
- 19/2012 - Two-level Tucker-TT-QTT format for optimized tensor calculus
- 4/2012 - Fast and Accurate 3D Tensor Calculation of the Fock Operator in a General Basis
- 80/2011 - Fast solution of multi-dimensional parabolic problems in the TT/QTT-format with initial application to the Fokker-Planck equation
- 37/2011 - QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations
- 19/2011 - Solution of linear systems and matrix inversion in the TT-format
- 12/2011 - Low-rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients
- 69/2010 - DMRG+QTT approach to computation of the ground state for the molecular Schr\"odinger operator
- 22/2010 - A Projection Method to Solve Linear Systems in Tensor Format
- 9/2010 - Tensor-Structured Galerkin Approximation of parametric and stochastic Elliptic PDEs
- 66/2009 - Approximation of the Electron Density of Aluminium Clusters in Tensor-Product Format
- 55/2009 - O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling
- 44/2009 - Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format
- 78/2008 - Use of Tensor Formats in Elliptic Eigenvalue Problems
- 105/2006 - Low Rank Tucker-Type Tensor Approximation to Classical Potentials
- 61/2006 - Hierarchical Matrix Techniques for a Domain Decomposition Algorithm
- 112/2005 - Approximate Iterations for Structured Matrices
- 25/2004 - Direct Schur complement method by domain decomposition based on -matrix approximation
- 2/2003 - Hierarchical Matrices based on a Weak Admissibility Criterion
- 79/2001 - Data-sparse approximate inverse in elliptic problems: Green's function approach
- 64/2001 - An efficient direct solver for the boundary concentrated FEM in 2D
- 45/2001 - Boundary concentrated finite element methods

- 27/2005 (
**65F15**- 59/2013 - Computation of extreme eigenvalues in higher dimensions using block tensor train format

**65F30**(Other matrix algorithms )- 10/2008 (
*Technical report*) - HLIBpro C Language Interface - 9/2008 (
*Technical report*) - HLIBpro User Manual - 27/2005 (
*Lecture note*) - An Introduction to Structured Tensor-Product Representation of Discrete Nonlocal Operators. - 21/2003 (
*Lecture note*) - Hierarchical Matrices - 12/2019 - Computing electrostatic potentials using regularization based on the range-separated tensor format
- 104/2018 - Range-separated tensor representation of the discretized multidimensional Dirac delta and elliptic operator inverse
- 35/2018 - Computing the density of states for optical spectra by low-rank and QTT tensor approximation
- 47/2017 - A numerical primer in 2D stochastic homogenization: CLT scaling in the Representative Volume Element
- 12/2017 - Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach
- 10/2017 - Rank structured approximation method for quasi--periodic elliptic problems
- 39/2016 - Range-separated tensor formats for numerical modeling of many-particle interaction potentials
- 35/2016 - Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis
- 14/2016 - Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation
- 65/2015 - Fast tensor method for summation of long-range potentials on 3D lattices with defects
- 63/2015 - A fast iteration method for solving elliptic problems with quasiperiodic coefficients
- 32/2015 - A reduced basis approach for calculation of the Bethe-Salpeter excitation energies using low-rank tensor factorizations
- 19/2015 - Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States
- 108/2014 - Tensor Numerical Methods for Multidimensional PDEs: Theoretical Analysis and Initial Applications
- 88/2014 - Tucker tensor method for fast grid-based summation of long-range potentials on 3D lattices with defects
- 62/2014 - Tensor Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems
- 50/2014 - Estimates of the Distance to the Set of Divergence Free Fields and Applications to Quantitative Analysis of Incompressible Fluids
- 34/2014 - New Estimates for the Recursive Low-Rank Truncation
- 116/2013 - Grid-based lattice summation of electrostatic potentials by low-rank tensor approximation
- 103/2013 - Superfast Wavelet Transform Using QTT Approximation. I: Haar Wavelets
- 90/2013 - Black-Box Hartree-Fock Solver by the Tensor Numerical Methods
- 26/2013 - Møller-Plesset (MP2) Energy Correction Using Tensor Factorizations of the Grid-based Two-electron Integrals
- 29/2012 - Tensor-structured factorized calculation of two-electron integrals in a general basis
- 19/2012 - Two-level Tucker-TT-QTT format for optimized tensor calculus
- 4/2012 - Fast and Accurate 3D Tensor Calculation of the Fock Operator in a General Basis
- 43/2011 - Quantized-TT-Cayley transform to compute dynamics and spectrum of high-dimensional Hamiltonians
- 42/2011 - Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation
- 37/2011 - QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations
- 19/2011 - Solution of linear systems and matrix inversion in the TT-format
- 12/2011 - Low-rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients
- 69/2010 - DMRG+QTT approach to computation of the ground state for the molecular Schr\"odinger operator
- 55/2010 - Tensor Structured Iterative Solution of Elliptic Problems with Jumping Coefficients
- 37/2010 - Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs
- 21/2010 - Tensors-structured Numerical Methods in Scientific Computing: Survey on Recent Advances
- 9/2010 - Tensor-Structured Galerkin Approximation of parametric and stochastic Elliptic PDEs
- 79/2009 - Quantics-TT Approximation of Elliptic Solution Operators in Higher Dimensions
- 66/2009 - Approximation of the Electron Density of Aluminium Clusters in Tensor-Product Format
- 55/2009 - O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling
- 44/2009 - Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format
- 25/2009 - Computation of the Hartree-Fock Exchange by the Tensor-structured Methods
- 82/2008 - Tensor-structured Preconditioners and Approximate Inverse of Elliptic Operators in ℝ
^{d} - 81/2008 - Application of hierarchical matrices for computing the Karhunen-Lo\`eve expansion
- 80/2008 - Verification of the cross 3d algorithm on quantum chemistry data
- 79/2008 - Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels
- 78/2008 - Use of Tensor Formats in Elliptic Eigenvalue Problems
- 65/2008 - Performance of H-LU Preconditioning for Sparse Matrices
- 40/2008 - Multigrid Accelerated Tensor Approximation of Function Related Multi-dimensional Arrays
- 36/2008 - Fast and Accurate Tensor Approximation of Multivariate Convolution with Linear Scaling in Dimension
- 4/2008 - On Tensor Approximation of Green Iterations for Kohn-Sham Equations
- 3/2008 - Concepts of Data-Sparse Tensor-Product Approximation in Many-Particle Modelling
- 92/2007 - Construction of data-sparse
^{2}-matrices by hierarchical compression - 139/2006 - Tensor-Product Approximation to Operators and Functions in High Dimensions
- 105/2006 - Low Rank Tucker-Type Tensor Approximation to Classical Potentials
- 61/2006 - Hierarchical Matrix Techniques for a Domain Decomposition Algorithm
- 38/2006 - Tensor-Product Approximation to Multi-Dimensional Integral Operators and Green's Functions
- 6/2006 - Structured Rank-(r
_{1},...,r_{d}) Decomposition of Function-related Tensors in ℝ^{d} - 115/2005 - Parallel Black Box Domain Decomposition Based -LU Preconditioning
- 114/2005 - Adaptive variable-rank approximation of general matrices
- 112/2005 - Approximate Iterations for Structured Matrices
- 84/2005 - Nonlinear multigrid for the solution of large scale Riccati equations in low-rank and -matrix format
- 59/2005 - Low-Rank wavelet solver for the Ornstein-Zernike integral equation
- 30/2005 - Low-Rank Kronecker Product Approximation to Multi-Dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators
- 29/2005 - Low-Rank Kronecker-Product Approximation to Multi-Dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-Variate Functions
- 4/2005 - Structured Data-Sparse Approximation to High Order Tensors Arising from the Deterministic Boltzmann Equation
- 79/2004 - Adaptive Galerkin Boundary Element Methods with Panel Clustering
- 62/2004 - -matrix preconditioners in convection-dominated problems
- 48/2004 - A Multigrid Method to Solve Large Scale Sylvester Equations
- 47/2004 -
^{2}-matrix arithmetics in linear complexity - 29/2004 - Parallel -Matrix Arithmetics on Shared Memory Systems
- 28/2004 - Hierarchical LU decomposition based preconditioners for BEM
- 25/2004 - Direct Schur complement method by domain decomposition based on -matrix approximation
- 19/2004 - Adaptive Geometrically Balanced Clustering of -Matrices
- 18/2004 - Approximation of integral operators by
^{2}-matrices with adaptive bases - 16/2004 - Hierarchical Kronecker tensor-product approximation to a class of nonlocal operators in high dimensions
- 10/2004 - Fast Parallel Solution of Boundary Integral Equations and Related Problems
- 83/2003 - Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High Dimensional Elliptic Problems
- 35/2003 - Hierarchical Kronecker tensor-product approximations
- 20/2003 - Data-sparse approximation of a class of operator-valued functions
- 7/2003 -
^{2}-matrices — Multilevel methods for the approximation of integral operators - 5/2003 - Approximation of boundary element operators by adaptive
^{2}-matrices - 2/2003 - Hierarchical Matrices based on a Weak Admissibility Criterion
- 103/2002 - Construction and Arithmetics of -Matrices
- 62/2002 - Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
- 54/2002 - Data-Sparse Approximation to Operator-Valued Functions of Elliptic Operator
- 23/2002 - Direct Domain Decomposition using the Hierarchical Matrix Technique
- 18/2002 - Introduction to Hierarchical Matrices with Applications
- 106/2001 - Adaptive refinement and clustering of -matrices
- 105/2001 - An introduction to hierarchical matrices
- 86/2001 - Data-sparse approximation by adaptive -Matrices
- 79/2001 - Data-sparse approximate inverse in elliptic problems: Green's function approach
- 18/2001 - -Matrix approximation for elliptic solution operators in cylindric domains
- 66/2000 - Blended kernel approximation in the -matrix techniques
- 42/2000 - -matrix approximation for the operator exponential with applications
- 15/2000 - Towards -matrix approximation of linear complexity
- 66/1999 - A sparse -matrix arithmetic: general complexity estimates
- 50/1999 - On H
^{2}-Matrices - 22/1999 - A sparse -Matrix Arithmetic, Part II: Application to Multi-Dimensional Problems

- 10/2008 (
**65F35****65F40**(Determinants )- 18/2000 - The efficient computation of scalar products of certain antisymmetric functions

**65F50**(Sparse matrices )- 10/2008 (
*Technical report*) - HLIBpro C Language Interface - 9/2008 (
*Technical report*) - HLIBpro User Manual - 27/2005 (
*Lecture note*) - An Introduction to Structured Tensor-Product Representation of Discrete Nonlocal Operators. - 12/2019 - Computing electrostatic potentials using regularization based on the range-separated tensor format
- 104/2018 - Range-separated tensor representation of the discretized multidimensional Dirac delta and elliptic operator inverse
- 81/2018 - Tensor approach to optimal control problems with fractional d-dimensional elliptic operator in constraints
- 35/2018 - Computing the density of states for optical spectra by low-rank and QTT tensor approximation
- 47/2017 - A numerical primer in 2D stochastic homogenization: CLT scaling in the Representative Volume Element
- 12/2017 - Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach
- 10/2017 - Rank structured approximation method for quasi--periodic elliptic problems
- 39/2016 - Range-separated tensor formats for numerical modeling of many-particle interaction potentials
- 35/2016 - Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis
- 14/2016 - Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation
- 65/2015 - Fast tensor method for summation of long-range potentials on 3D lattices with defects
- 63/2015 - A fast iteration method for solving elliptic problems with quasiperiodic coefficients
- 32/2015 - A reduced basis approach for calculation of the Bethe-Salpeter excitation energies using low-rank tensor factorizations
- 19/2015 - Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States
- 108/2014 - Tensor Numerical Methods for Multidimensional PDEs: Theoretical Analysis and Initial Applications
- 88/2014 - Tucker tensor method for fast grid-based summation of long-range potentials on 3D lattices with defects
- 62/2014 - Tensor Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems
- 116/2013 - Grid-based lattice summation of electrostatic potentials by low-rank tensor approximation
- 103/2013 - Superfast Wavelet Transform Using QTT Approximation. I: Haar Wavelets
- 90/2013 - Black-Box Hartree-Fock Solver by the Tensor Numerical Methods
- 26/2013 - Møller-Plesset (MP2) Energy Correction Using Tensor Factorizations of the Grid-based Two-electron Integrals
- 68/2012 - Tensor-product approach to global time-space-parametric discretization of chemical master equation
- 29/2012 - Tensor-structured factorized calculation of two-electron integrals in a general basis
- 19/2012 - Two-level Tucker-TT-QTT format for optimized tensor calculus
- 4/2012 - Fast and Accurate 3D Tensor Calculation of the Fock Operator in a General Basis
- 80/2011 - Fast solution of multi-dimensional parabolic problems in the TT/QTT-format with initial application to the Fokker-Planck equation
- 43/2011 - Quantized-TT-Cayley transform to compute dynamics and spectrum of high-dimensional Hamiltonians
- 42/2011 - Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation
- 37/2011 - QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations
- 19/2011 - Solution of linear systems and matrix inversion in the TT-format
- 12/2011 - Low-rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients
- 69/2010 - DMRG+QTT approach to computation of the ground state for the molecular Schr\"odinger operator
- 55/2010 - Tensor Structured Iterative Solution of Elliptic Problems with Jumping Coefficients
- 37/2010 - Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs
- 21/2010 - Tensors-structured Numerical Methods in Scientific Computing: Survey on Recent Advances
- 9/2010 - Tensor-Structured Galerkin Approximation of parametric and stochastic Elliptic PDEs
- 79/2009 - Quantics-TT Approximation of Elliptic Solution Operators in Higher Dimensions
- 66/2009 - Approximation of the Electron Density of Aluminium Clusters in Tensor-Product Format
- 55/2009 - O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling
- 44/2009 - Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format
- 25/2009 - Computation of the Hartree-Fock Exchange by the Tensor-structured Methods
- 82/2008 - Tensor-structured Preconditioners and Approximate Inverse of Elliptic Operators in ℝ
^{d} - 81/2008 - Application of hierarchical matrices for computing the Karhunen-Lo\`eve expansion
- 80/2008 - Verification of the cross 3d algorithm on quantum chemistry data
- 79/2008 - Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels
- 78/2008 - Use of Tensor Formats in Elliptic Eigenvalue Problems
- 65/2008 - Performance of H-LU Preconditioning for Sparse Matrices
- 40/2008 - Multigrid Accelerated Tensor Approximation of Function Related Multi-dimensional Arrays
- 36/2008 - Fast and Accurate Tensor Approximation of Multivariate Convolution with Linear Scaling in Dimension
- 4/2008 - On Tensor Approximation of Green Iterations for Kohn-Sham Equations
- 3/2008 - Concepts of Data-Sparse Tensor-Product Approximation in Many-Particle Modelling
- 139/2006 - Tensor-Product Approximation to Operators and Functions in High Dimensions
- 105/2006 - Low Rank Tucker-Type Tensor Approximation to Classical Potentials
- 61/2006 - Hierarchical Matrix Techniques for a Domain Decomposition Algorithm
- 38/2006 - Tensor-Product Approximation to Multi-Dimensional Integral Operators and Green's Functions
- 6/2006 - Structured Rank-(r
_{1},...,r_{d}) Decomposition of Function-related Tensors in ℝ^{d} - 115/2005 - Parallel Black Box Domain Decomposition Based -LU Preconditioning
- 112/2005 - Approximate Iterations for Structured Matrices
- 84/2005 - Nonlinear multigrid for the solution of large scale Riccati equations in low-rank and -matrix format
- 78/2005 - On the numerical solution of convection-dominated problems using hierarchical matrices
- 59/2005 - Low-Rank wavelet solver for the Ornstein-Zernike integral equation
- 51/2005 - Efficient solution of nonlinear elliptic problems using hierarchical matrices with Broyden updates
- 30/2005 - Low-Rank Kronecker Product Approximation to Multi-Dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators
- 29/2005 - Low-Rank Kronecker-Product Approximation to Multi-Dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-Variate Functions
- 8/2005 - Why approximate LU decompositions of finite element discretizations of elliptic operators can be computed with almost linear complexity
- 4/2005 - Structured Data-Sparse Approximation to High Order Tensors Arising from the Deterministic Boltzmann Equation
- 79/2004 - Adaptive Galerkin Boundary Element Methods with Panel Clustering
- 62/2004 - -matrix preconditioners in convection-dominated problems
- 48/2004 - A Multigrid Method to Solve Large Scale Sylvester Equations
- 28/2004 - Hierarchical LU decomposition based preconditioners for BEM
- 25/2004 - Direct Schur complement method by domain decomposition based on -matrix approximation
- 16/2004 - Hierarchical Kronecker tensor-product approximation to a class of nonlocal operators in high dimensions
- 7/2004 - Approximate Inverse Preconditioning of FE Systems for Elliptic Operators with non-smooth Coefficients
- 6/2004 - Efficient Inversion of the Galerkin Matrix of General Second Order Elliptic Operators with Non-Smooth Coefficients
- 83/2003 - Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High Dimensional Elliptic Problems
- 35/2003 - Hierarchical Kronecker tensor-product approximations
- 20/2003 - Data-sparse approximation of a class of operator-valued functions
- 5/2003 - Approximation of boundary element operators by adaptive
^{2}-matrices - 2/2003 - Hierarchical Matrices based on a Weak Admissibility Criterion
- 103/2002 - Construction and Arithmetics of -Matrices
- 62/2002 - Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
- 23/2002 - Direct Domain Decomposition using the Hierarchical Matrix Technique
- 21/2002 - Existence of -Matrix Approximants to the Inverse FE-Matrix of Elliptic Operators with L
^{∞}-Coefficients - 18/2002 - Introduction to Hierarchical Matrices with Applications
- 106/2001 - Adaptive refinement and clustering of -matrices
- 105/2001 - An introduction to hierarchical matrices
- 86/2001 - Data-sparse approximation by adaptive -Matrices
- 79/2001 - Data-sparse approximate inverse in elliptic problems: Green's function approach
- 18/2001 - -Matrix approximation for elliptic solution operators in cylindric domains
- 66/2000 - Blended kernel approximation in the -matrix techniques
- 42/2000 - -matrix approximation for the operator exponential with applications
- 15/2000 - Towards -matrix approximation of linear complexity
- 66/1999 - A sparse -matrix arithmetic: general complexity estimates
- 50/1999 - On H
^{2}-Matrices - 22/1999 - A sparse -Matrix Arithmetic, Part II: Application to Multi-Dimensional Problems

- 10/2008 (
**65F99**- 29/2018 - Truncation of Tensors in the Hierarchical Format
- 72/2016 - On the Representation of Symmetric and Antisymmetric Tensors
- 45/2011 - QTT-rank-one vectors with QTT-rank-one and full-rank Fourier images
- 36/2011 - Multilevel Toeplitz matrices generated by QTT tensor-structured vectors and convolution with logarithmic complexity
- 18/2011 - Superfast Fourier transform using QTT approximation
- 75/2010 - On explicit QTT representation of Laplace operator and its inverse
- 57/2010 - Black Box Approximation of Tensors in Hierarchical Tucker Format
- 48/2010 - Tensorisation of Vectors and their Efficient Convolution
- 2/2009 - A new scheme for the tensor representation

**65FN3**- 27/2005 (
*Lecture note*) - An Introduction to Structured Tensor-Product Representation of Discrete Nonlocal Operators.

- 27/2005 (
**65Fxx**- 34/2014 - New Estimates for the Recursive Low-Rank Truncation

**65G30**- 39/2005 - Rigorous Numerics for Dissipative PDEs III. An effective algorithm for rigorous computation of trajectories and Poincaré maps

**65G99**- 5/2009 - Error estimates for two-dimensional Cross Approximation

**65J10**- 47/2018 - Adaptive Stochastic Galerkin FEM for Lognormal Coefficients in Hierarchical Tensor Representations

**65K05****65k05**- 27/2012 - Immunity space generated by a non trivial genetic-antigenic relation

**65K10**(Optimization and variational techniques)**65K15****65L05**- 133/2006 - Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schr\"odinger equation

**65L06**- 72/2012 - Sparsity of Runge-Kutta convolution weights for three-dimensional wave equation
- 5/2012 - Time-domain Dirichlet-to-Neumann map and its discretization
- 59/2010 - Runge-Kutta convolution quadrature for operators arising in wave propagation
- 27/2010 - An error analysis of Runge-Kutta convolution quadrature

**65L20**- 20/2003 (
*Lecture note*) - Der Stabilit\"{a}tsbegriff in der Numerik

- 20/2003 (
**65L60****65M06****65M12**- 20/2003 (
*Lecture note*) - Der Stabilit\"{a}tsbegriff in der Numerik - 52/2017 - Brakke’s inequality for the thresholding scheme
- 34/2007 - Mass-Selection in Alignment Models with Non-Deterministic Effects
- 12/2007 - Error estimates for a mixed finite element discretization of some degenerate parabolic equations

- 20/2003 (
**65M15****65M20****65M38**- 72/2012 - Sparsity of Runge-Kutta convolution weights for three-dimensional wave equation
- 67/2012 - Fast Convolution Quadrature for Wave Equation in Three Dimensions
- 65/2010 - Efficient long time computations of time-domain boundary integrals for 2D and dissipative wave equation
- 58/2009 - Multistep and multistage boundary integral methods for the wave equation

**65M39**- 86/2003 - May the singular integrals in BEM be replaced by Zero?

**65M60****65M70****65N12**(Stability and convergence of numerical methods )- 20/2003 (
*Lecture note*) - Der Stabilit\"{a}tsbegriff in der Numerik - 47/2018 - Adaptive Stochastic Galerkin FEM for Lognormal Coefficients in Hierarchical Tensor Representations
- 63/2009 - A Posteriori Error Estimates for the Coupling Equations of Scalar Conservation Laws
- 56/2008 - A Non-Self-Adjoint Quadratic Eigenvalue Problem Describing a Fluid-Solid Interaction. Part II: Analysis of Convergence
- 117/2005 - Nonconforming box-schemes for elliptic problems on rectangular grids
- 60/2001 - Time-space discretization of the nonlinear hyperbolic system
- 24/2001 - Inverse inequalities on non-quasiuniform meshes and application to the Mortar element method

- 20/2003 (
**65N15**(Error bounds)- 6/2006 (
*Technical report*) - Two Dangers to Avoid When Using Gradient Recovery Methods for Finite Element Error Estimation and Adaptivity - 50/2014 - Estimates of the Distance to the Set of Divergence Free Fields and Applications to Quantitative Analysis of Incompressible Fluids
- 42/2010 - A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement
- 38/2010 - An efficient, reliable and robust error estimator for elliptic problems in ℝ
^{3} - 63/2009 - A Posteriori Error Estimates for the Coupling Equations of Scalar Conservation Laws
- 18/2007 - On Estimators for Eigenvalue/Eigenvector Approximations
- 25/2006 - Fixing a ''Bug'' in Recovery-Type A Posteriori Error Estimators
- 113/2005 - Function, Gradient and Hessian Recovery Using Quadratic Edge-Bump Functions
- 69/2005 - Asymptotically Exact Functional Error Estimators Based on Superconvergent Gradient Recovery
- 60/2001 - Time-space discretization of the nonlinear hyperbolic system

- 6/2006 (
**65N21**- 47/2007 - Numerical mathematics for the modeling of a current dipole in EEG source reconstruction using finite element head models

**65N22**- 81/2018 - Tensor approach to optimal control problems with fractional d-dimensional elliptic operator in constraints
- 59/2012 - Partial evaluation of the discrete solution of elliptic boundary value problems
- 24/2012 - Efficient time-stepping scheme for dynamics on TT-manifolds
- 19/2012 - Two-level Tucker-TT-QTT format for optimized tensor calculus
- 33/2011 - Rapid error reduction for block Gauss-Seidel based on p-hierarchical bases
- 85/2007 - Approximation of solution operators of elliptic partial differential equations by - and
^{2}-matrices - 149/2006 - Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement
- 48/2003 - Existence and Computation of a Low Kronecker-Rank Approximant to the Solution of a Tensor System with Tensor Right-Hand Side

**65N25**- 25/2018 - Tucker tensor analysis of Matérn functions in spatial statistics
- 42/2010 - A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement
- 56/2008 - A Non-Self-Adjoint Quadratic Eigenvalue Problem Describing a Fluid-Solid Interaction. Part II: Analysis of Convergence
- 55/2008 - A Non-Self-Adjoint Quadratic Eigenvalue Problem Describing a Fluid-Solid Interaction. Part I: Formulation, Analysis, and Computations
- 18/2007 - On Estimators for Eigenvalue/Eigenvector Approximations
- 11/2005 - Eigenfrequencies of fractal drums

**65N30**(Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods )- 6/2006 (
*Technical report*) - Two Dangers to Avoid When Using Gradient Recovery Methods for Finite Element Error Estimation and Adaptivity - 28/2012 - Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats
- 33/2011 - Rapid error reduction for block Gauss-Seidel based on p-hierarchical bases
- 12/2011 - Low-rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients
- 42/2010 - A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement
- 38/2010 - An efficient, reliable and robust error estimator for elliptic problems in ℝ
^{3} - 63/2009 - A Posteriori Error Estimates for the Coupling Equations of Scalar Conservation Laws
- 85/2007 - Approximation of solution operators of elliptic partial differential equations by - and
^{2}-matrices - 18/2007 - On Estimators for Eigenvalue/Eigenvector Approximations
- 91/2006 - Dual Functions for a Parallel Adaptive Method
- 61/2006 - Hierarchical Matrix Techniques for a Domain Decomposition Algorithm
- 25/2006 - Fixing a ''Bug'' in Recovery-Type A Posteriori Error Estimators
- 117/2005 - Nonconforming box-schemes for elliptic problems on rectangular grids
- 113/2005 - Function, Gradient and Hessian Recovery Using Quadratic Edge-Bump Functions
- 69/2005 - Asymptotically Exact Functional Error Estimators Based on Superconvergent Gradient Recovery
- 51/2005 - Efficient solution of nonlinear elliptic problems using hierarchical matrices with Broyden updates
- 39/2005 - Rigorous Numerics for Dissipative PDEs III. An effective algorithm for rigorous computation of trajectories and Poincaré maps
- 7/2004 - Approximate Inverse Preconditioning of FE Systems for Elliptic Operators with non-smooth Coefficients
- 21/2002 - Existence of -Matrix Approximants to the Inverse FE-Matrix of Elliptic Operators with L
^{∞}-Coefficients - 24/2001 - Inverse inequalities on non-quasiuniform meshes and application to the Mortar element method
- 2/2001 - Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
- 80/2000 - Numerical analysis of a relaxed variational model of hysteresis in two-phase solids

- 6/2006 (
**65N35**(Spectral, collocation and related methods )- 10/2017 - Rank structured approximation method for quasi--periodic elliptic problems
- 35/2016 - Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis
- 65/2015 - Fast tensor method for summation of long-range potentials on 3D lattices with defects
- 63/2015 - A fast iteration method for solving elliptic problems with quasiperiodic coefficients
- 19/2015 - Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States
- 62/2014 - Tensor Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems
- 116/2013 - Grid-based lattice summation of electrostatic potentials by low-rank tensor approximation
- 103/2013 - Superfast Wavelet Transform Using QTT Approximation. I: Haar Wavelets
- 90/2013 - Black-Box Hartree-Fock Solver by the Tensor Numerical Methods
- 29/2012 - Tensor-structured factorized calculation of two-electron integrals in a general basis
- 19/2012 - Two-level Tucker-TT-QTT format for optimized tensor calculus
- 4/2012 - Fast and Accurate 3D Tensor Calculation of the Fock Operator in a General Basis
- 43/2011 - Quantized-TT-Cayley transform to compute dynamics and spectrum of high-dimensional Hamiltonians
- 42/2011 - Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation
- 19/2011 - Solution of linear systems and matrix inversion in the TT-format
- 12/2011 - Low-rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients
- 55/2010 - Tensor Structured Iterative Solution of Elliptic Problems with Jumping Coefficients
- 43/2010 - Well conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners
- 37/2010 - Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs
- 34/2010 - Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces
- 21/2010 - Tensors-structured Numerical Methods in Scientific Computing: Survey on Recent Advances
- 9/2010 - Tensor-Structured Galerkin Approximation of parametric and stochastic Elliptic PDEs
- 66/2009 - Approximation of the Electron Density of Aluminium Clusters in Tensor-Product Format
- 55/2009 - O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling
- 44/2009 - Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format
- 35/2009 - Least-squares hp/spectral element method for elliptic problems
- 25/2009 - Computation of the Hartree-Fock Exchange by the Tensor-structured Methods
- 81/2008 - Application of hierarchical matrices for computing the Karhunen-Lo\`eve expansion
- 80/2008 - Verification of the cross 3d algorithm on quantum chemistry data
- 79/2008 - Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels
- 78/2008 - Use of Tensor Formats in Elliptic Eigenvalue Problems
- 40/2008 - Multigrid Accelerated Tensor Approximation of Function Related Multi-dimensional Arrays
- 4/2008 - On Tensor Approximation of Green Iterations for Kohn-Sham Equations
- 105/2006 - Low Rank Tucker-Type Tensor Approximation to Classical Potentials
- 6/2006 - Structured Rank-(r
_{1},...,r_{d}) Decomposition of Function-related Tensors in ℝ^{d} - 11/2005 - Eigenfrequencies of fractal drums
- 25/2004 - Direct Schur complement method by domain decomposition based on -matrix approximation
- 35/2003 - Hierarchical Kronecker tensor-product approximations
- 79/2001 - Data-sparse approximate inverse in elliptic problems: Green's function approach
- 64/2001 - An efficient direct solver for the boundary concentrated FEM in 2D
- 45/2001 - Boundary concentrated finite element methods

**65N38**(Boundary element methods )- 21/2003 (
*Lecture note*) - Hierarchical Matrices - 13/2014 - Hierarchical matrices and the High-Frequency Fast Multipole Method for the Helmholtz Equation with Decay
- 93/2013 - Adaptive Time Discretization for Retarded Potentials
- 47/2012 - Frequency Explicit Regularity Estimates for the Electric Field Integral Operator
- 65/2011 - Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature
- 77/2010 - Fast Evaluation of Singular BEM Integrals Based on Tensor Approximations
- 92/2007 - Construction of data-sparse
^{2}-matrices by hierarchical compression - 149/2006 - Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement
- 147/2006 - Analysis of multiple scattering iterations for high-frequency scattering problems. \\ II: The three-dimensional scalar case
- 137/2006 - Analysis of Multiple Scattering Iterations for High-frequency Scattering Problems. \\ I: The Two-dimensional Case
- 64/2006 - Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part II: Numerical Simulation
- 116/2005 - Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation
- 114/2005 - Adaptive variable-rank approximation of general matrices
- 17/2005 - - and
^{2}-matrices for low and high frequency Helmholtz equation - 68/2004 - Hybrid Cross Approximation of Integral Operators
- 19/2004 - Adaptive Geometrically Balanced Clustering of -Matrices
- 18/2004 - Approximation of integral operators by
^{2}-matrices with adaptive bases - 35/2003 - Hierarchical Kronecker tensor-product approximations
- 33/2003 - Fast Evaluation of Boundary Integral Operators arising from an Eddy Current Problem
- 7/2003 -
^{2}-matrices — Multilevel methods for the approximation of integral operators - 5/2003 - Approximation of boundary element operators by adaptive
^{2}-matrices - 82/2002 - Approximation of Integral Operators by Variable-Order Interpolation
- 86/2001 - Data-sparse approximation by adaptive -Matrices
- 68/2001 - Direct integration of the Newton potential over cubes including a program description
- 24/2001 - Inverse inequalities on non-quasiuniform meshes and application to the Mortar element method
- 50/1999 - On H
^{2}-Matrices

- 21/2003 (
**65N45**- 72/2002 - Low-rank approximation of integral operators by interpolation

**65N50**(Mesh generation and refinement)- 6/2006 (
*Technical report*) - Two Dangers to Avoid When Using Gradient Recovery Methods for Finite Element Error Estimation and Adaptivity - 38/2010 - An efficient, reliable and robust error estimator for elliptic problems in ℝ
^{3} - 91/2006 - Dual Functions for a Parallel Adaptive Method
- 25/2006 - Fixing a ''Bug'' in Recovery-Type A Posteriori Error Estimators
- 113/2005 - Function, Gradient and Hessian Recovery Using Quadratic Edge-Bump Functions
- 69/2005 - Asymptotically Exact Functional Error Estimators Based on Superconvergent Gradient Recovery
- 19/2004 - Adaptive Geometrically Balanced Clustering of -Matrices
- 23/2002 - Direct Domain Decomposition using the Hierarchical Matrix Technique
- 18/2002 - Introduction to Hierarchical Matrices with Applications
- 106/2001 - Adaptive refinement and clustering of -matrices
- 105/2001 - An introduction to hierarchical matrices

- 6/2006 (
**65N55**(Multigrid methods; domain decomposition )- 33/2011 - Rapid error reduction for block Gauss-Seidel based on p-hierarchical bases
- 65/2008 - Performance of H-LU Preconditioning for Sparse Matrices
- 61/2006 - Hierarchical Matrix Techniques for a Domain Decomposition Algorithm
- 115/2005 - Parallel Black Box Domain Decomposition Based -LU Preconditioning

**65N99**- 59/2012 - Partial evaluation of the discrete solution of elliptic boundary value problems

**65R20**(Integral equations )- 93/2013 - Adaptive Time Discretization for Retarded Potentials
- 72/2012 - Sparsity of Runge-Kutta convolution weights for three-dimensional wave equation
- 47/2012 - Frequency Explicit Regularity Estimates for the Electric Field Integral Operator
- 5/2012 - Time-domain Dirichlet-to-Neumann map and its discretization
- 65/2011 - Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature
- 59/2010 - Runge-Kutta convolution quadrature for operators arising in wave propagation
- 43/2010 - Well conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners
- 27/2010 - An error analysis of Runge-Kutta convolution quadrature
- 4/2010 - A CAS Wavelet Method for Solving Nonlinear Fredholm Integro- Differential Equations of Fractional Order
- 90/2004 - On Improvement of the Iterated Galerkin Solution of the Second Kind Integral Equations
- 66/2004 - Wavelet Approach to Quasi Two-Dimensional Extended Many-Particle Systems. I. Supercell Hartree-Fock Method
- 68/2001 - Direct integration of the Newton potential over cubes including a program description
- 2/2001 - Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
- 15/2000 - Towards -matrix approximation of linear complexity

**65R99**- 88/2008 - A multigrid solver for the integral equations of the theory of liquids

**65T50****65T60**- 4/2010 - A CAS Wavelet Method for Solving Nonlinear Fredholm Integro- Differential Equations of Fractional Order
- 80/2009 - An Operational Haar Wavelet Method for Solving Fractional Volterra Integral Equations.
- 15/2005 - Approximation of 1∕ by Exponentials for Wavelet Applications
- 66/2004 - Wavelet Approach to Quasi Two-Dimensional Extended Many-Particle Systems. I. Supercell Hartree-Fock Method

**65T99****65Y05**- 5/2014 - ℋ-LU Factorization on Many-Core Systems
- 34/2010 - Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces
- 35/2009 - Least-squares hp/spectral element method for elliptic problems
- 26/2009 - Parallel multistep methods for linear evolution problems
- 91/2006 - Dual Functions for a Parallel Adaptive Method
- 29/2004 - Parallel -Matrix Arithmetics on Shared Memory Systems

**65Y10**- 29/2004 - Parallel -Matrix Arithmetics on Shared Memory Systems

**65Y20**- 5/2014 - ℋ-LU Factorization on Many-Core Systems

**65Z05****68****68-04**- 7/2006 (
*Technical report*) - {\bf SuperLie}. A package for Lie algebra and Super Algebra computations in {\it Mathematica} software system

- 7/2006 (
**68-XX - Computer science****68N01****68N30**- 11/2011 (
*Technical report*) - Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements

- 11/2011 (
**68P05**(Integral equations )- 44/2005 - Data-sparse approximation of non-local operators by
^{2}-matrices - 68/2004 - Hybrid Cross Approximation of Integral Operators
- 33/2003 - Fast Evaluation of Boundary Integral Operators arising from an Eddy Current Problem
- 5/2003 - Approximation of boundary element operators by adaptive
^{2}-matrices - 82/2002 - Approximation of Integral Operators by Variable-Order Interpolation
- 86/2001 - Data-sparse approximation by adaptive -Matrices
- 50/1999 - On H
^{2}-Matrices

- 44/2005 - Data-sparse approximation of non-local operators by
**68P30**- 86/2014 - Sequential Recurrence-Based Multidimensional Universal Source Coding of Lempel-Ziv Type

**68Q17**- 67/2017 - Plethysm and fast matrix multiplication

**68Q32**- 106/2014 - Discrete Restricted Boltzmann Machines
- 98/2014 - When Does a Mixture of Products Contain a Product of Mixtures?
- 74/2014 - Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units
- 27/2011 - Expressive Power and Approximation Errors of Restricted Boltzmann Machines

**68Q80**(Cellular automata)**68R99****68T01****68T05**- 75/2016 - The Coconut Model with Heterogeneous Strategies and Learning
- 70/2014 - A Theory of Cheap Control in Embodied Systems
- 16/2014 - Expressive Power of Conditional Restricted Boltzmann Machines
- 15/2013 - Information driven self-organization of complex robotic behaviors
- 155/2006 - Power Series Kernels
- 151/2006 - Sampling Inequalities for Infinitely Smooth Functions, with Applications to Interpolation and Machine Learning

**68T40**- 15/2013 - Information driven self-organization of complex robotic behaviors

**68T45**- 38/2003 - On reconstructing n-point configurations from the distribution of distances or areas.

**68U05****68U10**- 68/2008 - Quasiconvex relaxation of multidimensional control problems with integrands f(t,ξ,v)

**68W10****68W25****68W30**(Symbolic computation and algebraic computation)- 7/2006 (
*Technical report*) - {\bf SuperLie}. A package for Lie algebra and Super Algebra computations in {\it Mathematica} software system - 27/2018 - Computing periods of hypersurfaces
- 39/2017 - Changing Views on Curves and Surfaces
- 36/2017 - When is a polynomial ideal binomial after an ambient automorphism?
- 68/2001 - Direct integration of the Newton potential over cubes including a program description

- 7/2006 (
**68W40**- 5/2014 - ℋ-LU Factorization on Many-Core Systems

**69-XX - General applied mathematics**