Publications Dr. Mike Espig
Espig, Mike ; Auer, Henry ; Hackbusch, Wolfgang ; Benedikt, Udo and Alexander Auer:
Tensor representation techniques in post-Hartree Fock methods : matrix product state
tensor format
In: The journal of chemical physics,
Vol. not yet known, pp. not yet known
MIS-Preprint: 8/2013 Espig, Mike ; Hackbusch, Wolfgang ; Litvinenko, Alexander ; Matthies, Hermann G. and Elmar Zander:
Efficient analysis of high dimensional data in tensor formats
In: Sparse grids and applications / Jochen Garcke... (eds.)
Berlin : Springer, 2013. - P. 31-55
(Lecture notes in computational science and engineering ; 88)
MIS-Preprint: 62/2011 DOI: 10.1007/978-3-642-31703-3_2Espig, 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/s00211-012-0465-9Espig, 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-yEspig, Mike ; Hackbusch, Wolfgang ; Litvinenko, Alexander ; Matthies, Hermann G. and Philipp Wähnert:
Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats
MIS-Preprint: 28/2012
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-xEspig, Mike ; Naraparaju, Kishore Kumar and Jan Schneider:
A note on approximation in tensor chain format
MIS-Preprint: 16/2012
Benedikt, Udo ; Auer, Alexander ; 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: 10.1063/1.3514201Chinnamsetty, Sambasiva Rao ; Espig, Mike ; Flad, Heinz-Jürgen and Wolfgang Hackbusch:
Canonical tensor products as a generalization of Gaussian-type orbitals
In: Progress in physical chemistry 3 : modern and universal first-principles methods for
many-electron systems in chemistry and physics / Michael Dolg (ed.)
MIS-Preprint: 29/2009 München : Oldenbourg-Verlag, 2010. - P. 391-404
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.2010.6131Espig, 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/s00365-009-9076-9Espig, 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.2007.11.006Chinnamsetty, 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: 10.1063/1.2761871Espig, Mike:
Effiziente Bestapproximation mittels Summen von Elementartensoren in hohen Dimensionen
Dissertation, Universität Leipzig, 2007
Espig, Mike:
Approximation von Resolventen des Laplace-Operators mit Hilfe hierarchischer Matrizen
Diplomarbeit, Universität Kiel, 2004