Peter Benner

Statistical and Nonlinear Physics · 2002–2018

A researcher in the Science corpus: 17 papers; trusts 56 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 146 citations into it; #1,468 of 10,127 by trust here, #1,677 by citations
• Computational Theory and Mathematics — 102 citations into it; #6,448 of 12,182 by trust here, #4,850 by citations
• Numerical Analysis — 79 citations into it; #2,569 of 3,586 by trust here, #1,831 by citations
• Statistics and Probability — 79 citations into it; #3,413 of 12,932 by trust here, #3,513 by citations
• Computational Mechanics — 62 citations into it; #9,221 of 10,001 by trust here, #7,173 by citations
• Control and Systems Engineering — 38 citations into it; #1,479 of 8,257 by trust here, #1,670 by citations
• Computational Mathematics — 28 citations into it; #498 of 612 by trust here, #543 by citations
• Electrical and Electronic Engineering — 22 citations into it

Whom Peter Benner trusts overall

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

1. Jing-Rebecca Li
2. Valeria Simoncini
3. Athanasios C. Antoulas
4. Thilo Penzl
5. Jacob K. White
6. Karen E. Willcox
7. Zhong-Zhi Bai
8. Younes Chahlaoui
9. Daniel Kressner
10. Danny C. Sorensen

Who trusts Peter Benner overall

1. Stefania Fresca
2. Benjamin Peherstorfer
3. Valeria Simoncini
4. J. Nathan Kutz
5. Timo Reis
6. Andrea Manzoni
7. Karen E. Willcox
8. Clarence W. Rowley
9. Maximilian Behr
10. Steven L. Brunton

Papers from Peter Benner's perspective

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

1. Approximation of Large-Scale Dynamical Systems (Advances in Design and Control)
2. Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
3. Iterative methods for sparse linear systems
4. Low-Rank Solution of Lyapunov Equations (SIAM Review)
5. A Survey of Model Reduction Methods for Large-Scale Systems
6. Balanced Model Reduction via the Proper Orthogonal Decomposition
7. An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
8. EFFICIENT REDUCED-BASIS TREATMENT OF NONAFFINE AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
9. A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations
10. A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations (SIAM Journal on Scientific Computing)

Their papers

• A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems (2015) — 1,985 citations
• Dimension Reduction of Large-Scale Systems (2005) — 519 citations
• Low-rank methods for high-dimensional approximation and model order reduction (2015) — 334 citations
• Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations (2014) — 91 citations
• Efficient balancing-based MOR for large-scale second-order systems (2011) — 60 citations
• Solution formulas for differential Sylvester and Lyapunov equations (2018) — 70 citations
• Model Reduction of Parametrized Systems (2017) — 111 citations
• On the Solution of Large-Scale Algebraic Riccati Equations by Using Low-Dimensional Invariant Subspaces (2016) — 52 citations
• Low-rank solvers for unsteady Stokes–Brinkman optimal control problem with random data (2016) — 52 citations
• Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks (2014) — 53 citations
• Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective (2014) — 349 citations
• Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey (2013) — 191 citations
• An improved numerical method for balanced truncation for symmetric second-order systems (2013) — 80 citations
• A robust numerical method for the γ-iteration in H∞ control (2007) — 52 citations
• BDF Methods for Large-Scale Differential Riccati Equations (2004) — 59 citations
• FACTORIZED SOLUTION OF SYLVESTER EQUATIONS WITH APPLICATIONS IN CONTROL (2004) — 58 citations
• Perturbation Analysis for the Eigenvalue Problem of a Formal Product of Matrices (2002) — 84 citations