Digital linear control theory applied to automatic stepsize control in electrical circuit simulation

A. Verhoeven, T.G.J. Beelen, M.L.J. Hautus, E.J.W. Maten, ter

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Abstract

Adaptive stepsize control is used to control the local errors of the numerical solution. For optimization purposes smoother stepsize controllers are wanted, such that the errors and stepsizes also behave smoothly. We consider approaches from digital linear control theory applied to multistep BDF-methods.
Original languageEnglish
Title of host publicationProgress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004)
EditorsA. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier
Place of PublicationBerlin
PublisherSpringer
Pages199-203
ISBN (Print)3-540-28073-1
DOIs
Publication statusPublished - 2006

Publication series

NameMathematics in Industry
Volume8
ISSN (Print)1612-3956

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  • Cite this

    Verhoeven, A., Beelen, T. G. J., Hautus, M. L. J., & Maten, ter, E. J. W. (2006). Digital linear control theory applied to automatic stepsize control in electrical circuit simulation. In A. Di Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Progress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004) (pp. 199-203). (Mathematics in Industry; Vol. 8). Springer. https://doi.org/10.1007/3-540-28073-1_28