Balanced truncation model reduction for semidiscretized Stokes equation

By Tatjana Stykel. 2006

83 citations recorded by the source corpus.

Subfields: Numerical Analysis, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/04f519c4035e42f5db8a7a0492b40009af0b9a02

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Numerical Analysis

1. Volker Mehrmann
2. Peter Benner
3. Asven Gariah
4. Jacques Sainte-Marie
5. Dominique Chapelle
6. Ulrike Baur
7. Lihong Feng
8. Tatjana Stykel

In Statistical and Nonlinear Physics

1. Volker Mehrmann
2. Peter Benner
3. Tatjana Stykel
4. Asven Gariah
5. Jacques Sainte-Marie
6. Dominique Chapelle
7. Ulrike Baur
8. Lihong Feng

In Statistics and Probability

1. Volker Mehrmann
2. Asven Gariah
3. Jacques Sainte-Marie
4. Dominique Chapelle
5. Peter Benner
6. Tatjana Stykel
7. Ulrike Baur
8. Lihong Feng

Citations in the corpus

• Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form (2005, methodology): “proper Gramians of (33) can be computed in explicit form without solving the generalized Lyapunov equations (16) and (17) numerically, see [ 73 ].”
• Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective (2014, background): “where the matrix C ∈ Rn×n might be singular, there exist generalizations of balanced truncation, see, for instance, [10, 27, 138, 142, 156, 183, 184].”
• Low rank iterative methods for projected generalized Lyapunov equations (2005, methodology): “Due to the practical importance of the numerical solution of large-scale projected generalized Lyapunov equations that occur in balanced truncation model reduction for descriptor systems [12, 13], development of iterative methods for such equations is a challenge problem.”
• Neurobiology of Aging: Contents (2005, unknown): “…of elliptic PDEs (Brezzi 1974, Brezzi and Fortin 1991, Quarteroni and Valli 1994) • model order reduction for dynamical systems (Freund 2003, Heres and Schilders 2005, Stykel 2005) • optimal control (Battermann and Heinkenschloss 1998, Battermann and Sachs 2001, Betts 2001, Biros and…”
• Galerkin approximation with proper orthogonal decomposition : new error estimates and illustrative examples (2012, methodology): “Modal analysis (linear or non-linear normal modes), but also the moment matching method [2,7] and balanced truncation [11, 26] belong to this first family.”