Christine Tobler

Computational Mathematics · 2010–2015

A researcher in the Science corpus: 10 papers; trusts 78 researchers and is trusted by 36 researchers here, as inferred from the citation graph.

Subfields

• Computational Mathematics — 190 citations into it; #26 of 612 by trust here, #34 by citations
• Computational Theory and Mathematics — 165 citations into it; #459 of 12,182 by trust here, #836 by citations
• Computational Mechanics — 88 citations into it; #4,746 of 10,001 by trust here, #8,947 by citations
• Atomic and Molecular Physics, and Optics — 66 citations into it
• Numerical Methods & Scientific Computing — 62 citations into it; #91 of 266 by trust here, #91 by citations
• Numerical Analysis — 50 citations into it
• Statistical and Nonlinear Physics — 49 citations into it; #853 of 10,127 by trust here, #2,263 by citations
• Artificial Intelligence — 48 citations into it

Whom Christine Tobler trusts overall

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

1. Lars Grasedyck
2. Ivan V. Oseledets
3. Boris N. Khoromskij
4. Daniel Kressner
5. Wolfgang Hackbusch
6. Jonas Ballani
7. Ulrich Schollwoeck
8. Lloyd N. Trefethen
9. Andrew V. Knyazev
10. Roman Andreev

Who trusts Christine Tobler overall

1. Daniel Kressner
2. Roman Andreev
3. V. Dolgov
4. André Uschmajew
5. Thomas Mach
6. Peter Benner
7. Andrzej S. Cichocki
8. Bart Vandereycken
9. Dmitry V. Savostyanov
10. Vladimir A. Kazeev

Papers from Christine Tobler's perspective

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

1. Tensor Decompositions and Applications
2. f¨ur Mathematik in den Naturwissenschaften Leipzig Hierarchical Singular Value Decomposition of Tensors
3. A New Scheme for the Tensor Representation
4. Some mathematical notes on three-mode factor analysis
5. TT-cross approximation for multidimensional arrays
6. Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
7. Matrix Computations
8. A Multilinear Singular Value Decomposition
9. Tensor-Train Decomposition
10. Breaking the Curse of Dimensionality

Their papers

• Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems (2011) — 237 citations
• A literature survey of low‐rank tensor approximation techniques (2013) — 719 citations
• Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems (2011) — 75 citations
• Krylov Subspace Methods for Linear Systems with Tensor Product Structure (2010) — 192 citations
• Algorithm 941 (2014) — 51 citations
• Low-rank tensor methods for linear systems and eigenvalue problems (2012) — 54 citations
• Multilevel preconditioning and low‐rank tensor iteration for space–time simultaneous discretizations of parabolic PDEs (2015) — 48 citations
• A preconditioned low‐rank CG method for parameter‐dependent Lyapunov matrix equations (2014) — 35 citations
• Algorithm 941: htucker - A Matlab Toolbox for Tensors in Hierarchical Tucker Format (2014) — 93 citations
• An Error Analysis of Galerkin Projection Methods for Linear Systems with Tensor Product Structure (2013) — 18 citations