A survey of projection-based model reduction methods for parametric dynamical systems

P Benner, S Gugercin, K Willcox - SIAM review, 2015 - SIAM
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying
a wide range of complex physical phenomena; however, the inherent large-scale nature of …

Model order reduction for linear and nonlinear systems: a system-theoretic perspective

U Baur, P Benner, L Feng - Archives of Computational Methods in …, 2014 - Springer
In the past decades, Model Order Reduction (MOR) has demonstrated its robustness and
wide applicability for simulating large-scale mathematical models in engineering and the …

[图书][B] Templates for the solution of algebraic eigenvalue problems: a practical guide

Z Bai, J Demmel, J Dongarra, A Ruhe, H van der Vorst - 2000 - SIAM
In many large scale scientific or engineering computations, ranging from computing the
frequency response of a circuit to the earthquake response of a buildingto the energy levels …

[HTML][HTML] Krylov-subspace methods for reduced-order modeling in circuit simulation

RW Freund - Journal of Computational and Applied Mathematics, 2000 - Elsevier
The simulation of electronic circuits involves the numerical solution of very large-scale,
sparse, in general nonlinear, systems of differential-algebraic equations. Often, the size of …

Model reduction methods based on Krylov subspaces

RW Freund - Acta Numerica, 2003 - cambridge.org
In recent years, reduced-order modelling techniques based on Krylov-subspace iterations,
especially the Lanczos algorithm and the Arnoldi process, have become popular tools for …

[图书][B] Interpolatory methods for model reduction

Dynamical systems are at the core of computational models for a wide range of complex
phenomena and, as a consequence, the simulation of dynamical systems has become a …

Interpolatory model reduction of large-scale dynamical systems

AC Antoulas, CA Beattie, S Gugercin - … modeling and control of large-scale …, 2010 - Springer
Large scale dynamical systems are a common framework for the modeling and control of
many complex phenomena of scientific interest and industrial value, with examples of …

Hierarchical modeling, optimization, and synthesis for system-level analog and RF designs

RA Rutenbar, GGE Gielen… - Proceedings of the …, 2007 - ieeexplore.ieee.org
The paper describes the recent state of the art in hierarchical analog synthesis, with a strong
emphasis on associated techniques for computer-aided model generation and optimization …

SPRIM: structure-preserving reduced-order interconnect macromodeling

RW Freund - IEEE/ACM International Conference on Computer …, 2004 - ieeexplore.ieee.org
In recent years, order-reduction techniques based on Krylov subspaces have become the
methods of choice for generating macromodels of large multi-port RLC circuits. A widely …

Reduced-order modeling techniques based on Krylov subspaces and their use in circuit simulation

RW Freund - Applied and Computational Control, Signals, and …, 1999 - Springer
In recent years, reduced-order modeling techniques based on Krylov-subspace iterations,
especially the Lanczos algorithm and the Arnoldi process, have become popular tools to …