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Model order reduction for nonlinear problems in circuit simulation
Author(s) -
Verhoeven A.,
Voss T.,
Astrid P.,
ter Maten E.J.W.,
Bechtold T.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700537
Subject(s) - nonlinear system , model order reduction , proper orthogonal decomposition , reduction (mathematics) , piecewise , linearity , computer science , trajectory , algebraic number , decomposition , electronic circuit , point (geometry) , differential (mechanical device) , control theory (sociology) , algorithm , mathematics , electronic engineering , point of delivery , engineering , mathematical analysis , artificial intelligence , physics , projection (relational algebra) , aerospace engineering , ecology , biology , geometry , control (management) , quantum mechanics , agronomy , astronomy , electrical engineering
Electrical circuits usually contain nonlinear components. Hence we are interested in MOR methods that can be applied to a system of nonlinear Differential‐Algebraic Equations (DAEs). In particular we consider the TPWL (Trajectory PieceWise Linear) and POD (Proper Orthogonal Decomposition) methods. While the first one fully exploits linearity, the last method needs modifications to become efficient in evaluation. We describe a particular technique based on Missing Point Estimation. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)