Ivan P. Gavrilyuk

Computational Theory and Mathematics · 2001–2011

A researcher in the Science corpus: 9 papers; trusts 16 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 22 citations into it; #2,735 of 12,182 by trust here, #3,339 by citations
• Computational Mathematics — 21 citations into it; #165 of 612 by trust here, #180 by citations
• Atomic and Molecular Physics, and Optics — 12 citations into it; #2,545 of 7,135 by trust here, #3,907 by citations
• Numerical Analysis — 10 citations into it
• Artificial Intelligence — 8 citations into it
• Computational Mechanics — 8 citations into it; #9,083 of 10,001 by trust here, #7,173 by citations
• Mathematical Optimization — 8 citations into it
• Numerical Methods & Scientific Computing — 7 citations into it; #144 of 266 by trust here, #219 by citations

Whom Ivan P. Gavrilyuk trusts overall

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

1. Boris N. Khoromskij
2. Venera Khoromskaia
3. Christian Lubich
4. Tobias von Petersdorff
5. Ian H. Sloan
6. Wolfgang Hackbusch
7. Guifré Vidal
8. Hans-Dieter Meyer
9. Lars Grasedyck
10. Ivan V. Oseledets

Who trusts Ivan P. Gavrilyuk overall

1. Boris N. Khoromskij
2. Christian Clason
3. Sergey V. Dolgov
4. Vladimir A. Kazeev
5. Zakieh Avazzadeh
6. Ivan V. Oseledets
7. Venera Khoromskaia
8. Bastian Goldluecke
9. Hédy Attouch
10. Mohammad Hossein Heydari

Papers from Ivan P. Gavrilyuk's perspective

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

1. Breaking the Curse of Dimensionality
2. Numerical operator calculus in higher dimensions
3. Numerical solution of the Hartree-Fock equation by multilevel tensor-structured methods
4. Numerical Solution of the Hartree - Fock Equation in Multilevel Tensor-Structured Format
5. Optimized Tensor-Product Approximation Spaces
6. Tensors-structured Numerical Methods in Scientific Computing: Survey on Recent Advances
7. Γ and B
8. Polynomial Approximation in Hierarchical Tucker Format by Vector – Tensorization
9. A New Scheme for the Tensor Representation
10. Approximation of functions with bounded mixed derivative

Their papers

• Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems (2005) — 99 citations
• Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians (2011) — 20 citations
• Book Review: Fast multipole boundary element method (2011) — 49 citations
• Quantized-TT-Cayley transform to compute dynamics and spectrum of high-dimensional Hamiltonians (2011) — 9 citations
• Lagrange multiplier approach to variational problems and applications (2010) — 502 citations
• Variational analysis in Sobolev and BV spaces (2007) — 598 citations
• Book Review: Variational analysis in Sobolev and BV spaces (2007) — 181 citations
• Collocation methods for Volterra integral and related functional equations (2006) — 450 citations
• Exponentially Convergent Parallel Discretization Methods for the First Order Evolution Equations (2001) — 63 citations