Journal
APPLIED NUMERICAL MATHEMATICS
Volume 43, Issue 1-2, Pages 9-44Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0168-9274(02)00116-2
Keywords
dynamical systems; reduced-order modeling; transfer function; stability; passivity; moment-matching; Pade approximation; Krylov subspace technique
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In recent years, a great deal of attention has been devoted to Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. The surge of interest was triggered by the pressing need for efficient numerical techniques for simulations of extremely large-scale dynamical systems arising from circuit simulation, structural dynamics, and microelectromechanical systems. In this paper, we begin with a tutorial of a Lanczos process based Krylov subspace technique for reduced-order modeling of linear dynamical systems, and then give an overview of the recent progress in other Krylov subspace techniques for a variety of dynamical systems, including second-order and nonlinear systems. Case studies arising from circuit simulation, structural dynamics and microelectromechanical systems are presented. (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.
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