Tatjana Stykel

Statistical and Nonlinear Physics · 2002–2012

A researcher in the Science corpus: 9 papers; trusts 32 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 39 citations into it; #670 of 10,127 by trust here, #3,100 by citations
• Computational Theory and Mathematics — 32 citations into it; #1,463 of 12,182 by trust here, #6,463 by citations
• Numerical Analysis — 22 citations into it; #240 of 3,586 by trust here, #661 by citations
• Control and Systems Engineering — 13 citations into it; #1,887 of 8,257 by trust here, #5,784 by citations
• Statistics and Probability — 11 citations into it; #5,625 of 12,932 by trust here, #10,275 by citations
• Computational Mechanics — 8 citations into it
• Atomic and Molecular Physics, and Optics — 7 citations into it
• Electrical and Electronic Engineering — 7 citations into it; #2,857 of 16,539 by trust here, #11,313 by citations

Whom Tatjana Stykel trusts overall

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

1. Thomas R. Bewley
2. Athanasios C. Antoulas
3. Jing-Rebecca Li
4. Zhong-Zhi Bai
5. Khalide Jbilou
6. Thilo Penzl
7. Jacob K. White
8. Valeria Simoncini
9. Mohammed Heyouni
10. Y. Saad

Who trusts Tatjana Stykel overall

1. Volker Mehrmann
2. Feng Ding
3. Vu Hoang Linh
4. Valeria Simoncini
5. Francisco Damasceno Freitas
6. Elena Virnik
7. Peter Benner
8. Tongwen Chen
9. Matthias Bollhöfer
10. Joost Rommes

Papers from Tatjana Stykel's perspective

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

1. Robust and optimal control
2. Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
3. A Survey of Model Reduction Methods for Large-Scale Systems
4. A collection of benchmark examples for model reduction of linear time invariant dynamical systems.
5. The Quadratic Eigenvalue Problem (SIAM Review)
6. A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations (SIAM Journal on Scientific Computing)
7. The algebraic eigenvalue problem
8. Iterative methods for sparse linear systems
9. Acta Numerica 2003: Model reduction methods based on Krylov subspaces
10. Krylov-subspace methods for reduced-order modeling in circuit simulation

Their papers

• Numerical solution and perturbation theory for generalized Lyapunov equations (2002) — 53 citations
• Stability and inertia theorems for generalized Lyapunov equations (2002) — 84 citations
• Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form (2005) — 227 citations
• Balanced truncation model reduction of second-order systems (2008) — 172 citations
• Balanced truncation model reduction for semidiscretized Stokes equation (2006) — 83 citations
• Krylov subspace methods for projected Lyapunov equations (2012) — 53 citations
• A Survey on Model Reduction of Coupled Systems (2008) — 52 citations
• Low rank iterative methods for projected generalized Lyapunov equations (2005) — 98 citations
• Analysis and Numerical Solution of Generalized Lyapunov Equations (2002) — 102 citations