Model order reduction for nonlinear problems in circuit simulation

A. Verhoeven, T. Voss, P. Astrid, E.J.W. Maten, ter, T. Bechtold

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

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.
Original languageEnglish
Title of host publicationProceedings of the 6th International Congress on Industrial Applied Mathematics (ICIAM 2007), 16-20 July 2007, Zürich, Switzerland,
Pages1021603-1021604
DOIs
Publication statusPublished - 2007

Publication series

NamePAMM, Proceedings in Applied Mathematics and Mechanics
Volume7(1)
ISSN (Print)1617-7061

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  • Cite this

    Verhoeven, A., Voss, T., Astrid, P., Maten, ter, E. J. W., & Bechtold, T. (2007). Model order reduction for nonlinear problems in circuit simulation. In Proceedings of the 6th International Congress on Industrial Applied Mathematics (ICIAM 2007), 16-20 July 2007, Zürich, Switzerland, (pp. 1021603-1021604). (PAMM, Proceedings in Applied Mathematics and Mechanics; Vol. 7(1)). https://doi.org/10.1002/pamm.200700537