Helmut Harbrecht

Computational Theory and Mathematics · 2004–2014

A researcher in the Science corpus: 7 papers; trusts 21 researchers and is trusted by 6 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 20 citations into it; #5,165 of 12,182 by trust here, #5,954 by citations
• Statistics and Probability — 17 citations into it
• Computational Mechanics — 16 citations into it; #4,242 of 10,001 by trust here, #5,157 by citations
• Computational Mathematics — 9 citations into it
• Atomic and Molecular Physics, and Optics — 8 citations into it; #4,007 of 7,135 by trust here, #5,314 by citations
• Mechanics of Materials — 8 citations into it
• Artificial Intelligence — 5 citations into it

Whom Helmut Harbrecht trusts overall

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

1. Christoph Schwab
2. Taye Samuel Faniran
3. Mario Bebendorf
4. Martin Schütz
5. Lars Grasedyck
6. Michael Griebel
7. Andrea Barth
8. Tobias von Petersdorff
9. Wolfgang Hackbusch
10. Mark Coppejans

Who trusts Helmut Harbrecht overall

1. Simone Pezzuto
2. Jingzhi Li
3. Ilias Bilionis
4. Reinhold Schneider
5. André Uschmajew
6. Jacob V. Gardner
7. Alessio Quaglino
8. Nicholas Zabaras
9. Geoff Pleiss
10. L. Beirão da Veiga

Papers from Helmut Harbrecht's perspective

Ordered by how strongly the researchers Helmut Harbrecht 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. Breaking the Curse of Dimensionality
3. A New Scheme for the Tensor Representation
4. Adaptive Low-Rank Approximation of Collocation Matrices
5. Karhunen-Loève approximation of random fields by generalized fast multipole methods (Journal of Computational Physics)
6. Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients (Numerische Mathematik)
7. A Theory of Pseudoskeleton Approximations
8. NUMERICAL SOLUTION OF PARABOLIC EQUATIONS IN HIGH DIMENSIONS
9. Adaptive Cross Approximation of Multivariate Functions
10. Approximation of bi-variate functions: singular value decomposition versus sparse grids

Their papers

• On the low-rank approximation by the pivoted Cholesky decomposition (2012) — 266 citations
• Approximation of bi-variate functions: singular value decomposition versus sparse grids (2014) — 50 citations
• BPX-preconditioning for isogeometric analysis (2013) — 63 citations
• First order second moment analysis for stochastic interface problems based on low-rank approximation (2013) — 49 citations
• Approximation of Two-Variate Functions: Singular Value Decomposition Versus Regular Sparse Grids (2010)
• Efficient treatment of stationary free boundary problems (2006) — 48 citations
• Biorthogonal wavelet bases for the boundary element method (2004) — 97 citations