Stability analysis of the BDF slowest-first multirate methods

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

doi:10.1080/00207160701458641

Stability analysis of the BDF slowest-first multirate methods

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

Scientific Computing

Research output: Contribution to journal › Article › Academic › peer-review

11 Citations (Scopus)

5 Downloads (Pure)

Abstract

This paper deals with the stability analysis of BDF Slowest-first multirate time-integration methods applied to the transient analysis of circuit models. From an asymptotic analysis it appears that these methods are indeed stable if the subsystems are stable and weakly coupled.

Original language	English
Pages (from-to)	895-923
Journal	International Journal of Computer Mathematics
Volume	84
Issue number	6
DOIs	https://doi.org/10.1080/00207160701458641
Publication status	Published - 2007

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title = "Stability analysis of the BDF slowest-first multirate methods",

abstract = "This paper deals with the stability analysis of BDF Slowest-first multirate time-integration methods applied to the transient analysis of circuit models. From an asymptotic analysis it appears that these methods are indeed stable if the subsystems are stable and weakly coupled.",

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AU - Tasic, B.

PY - 2007

Y1 - 2007

N2 - This paper deals with the stability analysis of BDF Slowest-first multirate time-integration methods applied to the transient analysis of circuit models. From an asymptotic analysis it appears that these methods are indeed stable if the subsystems are stable and weakly coupled.

AB - This paper deals with the stability analysis of BDF Slowest-first multirate time-integration methods applied to the transient analysis of circuit models. From an asymptotic analysis it appears that these methods are indeed stable if the subsystems are stable and weakly coupled.

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DO - 10.1080/00207160701458641

M3 - Article

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VL - 84

SP - 895

EP - 923

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

IS - 6

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Stability analysis of the BDF slowest-first multirate methods

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