Terminal current interpolation for multirate time integration of hierarchical IC models

A. Verhoeven, E.J.W. Maten, ter, J.J. Dohmen, B. Tasic, R.M.M. Mattheij

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

Abstract

Multirate time-integration methods [3–5] appear to be attractive for initial value problems for DAEs with latency or multirate behaviour. Latency means that parts of the circuit are constant or slowly time-varying during a certain time interval, while multirate behaviour means that some variables are slowly time-varying compared to other variables. In both cases, it would be attractive to integrate these slow parts with a larger timestep than the other parts. This saves the computational workload while the accuracy is preserved. A nice property of multirate is that it does not use any linear structure, in contrast to MOR, but only a relaxation concept. If the coupling is sufficiently monitored and the partitioning is well chosen, multirate can be very efficient.
Original languageEnglish
Title of host publicationProgress in Industrial Mathematics at ECMI 2008
EditorsA.D. Fitt, J. Norbury, H. Ockendon, E. Wilson
Place of PublicationBerlin
PublisherSpringer
Pages333-340
ISBN (Print)978-030642-12109-8
DOIs
Publication statusPublished - 2010

Publication series

NameMathematics in Industry
Volume15
ISSN (Print)1612-3956

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  • Cite this

    Verhoeven, A., Maten, ter, E. J. W., Dohmen, J. J., Tasic, B., & Mattheij, R. M. M. (2010). Terminal current interpolation for multirate time integration of hierarchical IC models. In A. D. Fitt, J. Norbury, H. Ockendon, & E. Wilson (Eds.), Progress in Industrial Mathematics at ECMI 2008 (pp. 333-340). (Mathematics in Industry; Vol. 15). Springer. https://doi.org/10.1007/978-3-642-12110-4_51