M. Espig

Computational Mathematics · 2007–2014

A researcher in the Science corpus: 9 papers; trusts 29 researchers and is trusted by 17 researchers here, as inferred from the citation graph.

Subfields

• Computational Mathematics — 82 citations into it; #119 of 612 by trust here, #85 by citations
• Computational Theory and Mathematics — 72 citations into it; #2,797 of 12,182 by trust here, #2,629 by citations
• Computational Mechanics — 44 citations into it; #3,225 of 10,001 by trust here, #3,126 by citations
• Atomic and Molecular Physics, and Optics — 40 citations into it
• Numerical Analysis — 31 citations into it
• Statistics and Probability — 28 citations into it
• Signal Processing — 21 citations into it
• Statistical and Nonlinear Physics — 21 citations into it; #3,502 of 10,127 by trust here, #2,849 by citations

Whom M. Espig trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Gregory Beylkin
2. Lars Grasedyck
3. Ivan V. Oseledets
4. Martin J. Mohlenkamp
5. Boris N. Khoromskij
6. Wolfgang Hackbusch
7. Hermann G. Matthies
8. Sambasiva Rao Chinnamsetty
9. Guifré Vidal
10. Philippe G. Ciarlet

Who trusts M. Espig overall

1. Daniel Kressner
2. Wolfgang Hackbusch
3. Christine Tobler
4. André Uschmajew
5. Stefan Handschuh
6. Lars Grasedyck
7. Thorsten Rohwedder
8. Sergey V. Dolgov
9. Jonas Ballani
10. Sambasiva Rao Chinnamsetty

Papers from M. Espig's perspective

Ordered by how strongly the researchers M. Espig trusts endorse each paper. Same corpus, a different order for every researcher.

1. f¨ur Mathematik in den Naturwissenschaften Leipzig Hierarchical Singular Value Decomposition of Tensors
2. Matrix Computations
3. Γ and B
4. Ten Lectures on Wavelets
5. Efficient classical simulation of slightly entangled quantum computations.
6. Rank-One Approximation to High Order Tensors (SIAM Journal on Matrix Analysis and Applications)
7. Tensor decomposition in electronic structure calculations on 3D Cartesian grids
8. Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs
9. A wavelet tour of signal processing
10. Numerical integration using sparse grids (Numerical Algorithms)

Their papers

• Optimization problems in contracted tensor networks (2011) — 83 citations
• A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format (2012) — 26 citations
• Black Box Low Tensor-Rank Approximation Using Fiber-Crosses (2009) — 46 citations
• Variational calculus with sums of elementary tensors of fixed rank (2012) — 16 citations
• Efficient Analysis of High Dimensional Data in Tensor Formats (2012) — 78 citations
• Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats (2014) — 88 citations
• Tensor decomposition in post-Hartree-Fock methods. I. Two-electron integrals and MP2. (2010) — 40 citations
• Canonical Tensor Products as a Generalization of Gaussian-type Orbitals (2010)
• Tensor product approximation with optimal rank in quantum chemistry. (2007) — 61 citations