Stefan Vandewalle

Computational Theory and Mathematics · 2004–2013

A researcher in the Science corpus: 7 papers; trusts 20 researchers and is trusted by 33 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 22 citations into it; #1,381 of 12,182 by trust here, #3,681 by citations
• Numerical Analysis — 20 citations into it; #301 of 3,586 by trust here, #604 by citations
• Computational Mechanics — 17 citations into it; #3,132 of 10,001 by trust here, #6,582 by citations
• Statistical and Nonlinear Physics — 9 citations into it; #1,654 of 10,127 by trust here, #5,625 by citations
• Applied Mathematics — 8 citations into it; #2,330 of 7,620 by trust here, #2,955 by citations
• Artificial Intelligence — 5 citations into it
• Modeling and Simulation — 5 citations into it

Whom Stefan Vandewalle trusts overall

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

1. Arieh Iserles
2. Sheehan Olver
3. Trond Steihaug
4. Valeria Simoncini
5. Christopher T. H. Baker
6. Khalide Jbilou
7. Jing-Rebecca Li
8. Bart Vandereycken
9. S. Burer
10. Roger A. Horn

Who trusts Stefan Vandewalle overall

1. Valeria Simoncini
2. Bart Vandereycken
3. Siqing Gan
4. Sheehan Olver
5. André Uschmajew
6. Peter Benner
7. Arieh Iserles
8. Norman Lang
9. Frédéric Legoll
10. Pierre-Antoine Absil

Papers from Stefan Vandewalle's perspective

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

1. The Geometry of Algorithms with Orthogonality Constraints
2. Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
3. Optimization algorithms on matrix manifolds
4. Introduction to mechanics and symmetry
5. On the numerical quadrature of highly‐oscillating integrals I: Fourier transforms
6. A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations (SIAM Journal on Scientific Computing)
7. Moment-free numerical integration of highly oscillatory functions
8. Learning the Kernel Matrix with Semidefinite Programming
9. A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization (Mathematical programming)
10. Topics in Matrix Analysis

Their papers

• A Riemannian Optimization Approach for Computing Low-Rank Solutions of Lyapunov Equations (2010) — 127 citations
• Analysis of the Parareal Time-Parallel Time-Integration Method (2007) — 487 citations
• Embedded geometry of the set of symmetric positive semidefinite matrices of fixed rank (2009) — 62 citations
• A Riemannian geometry with complete geodesics for the set of positive semidefinite matrices of fixed rank (2013) — 75 citations
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation (2006) — 314 citations
• Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations (2004) — 91 citations
• Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization (2004) — 68 citations