Comparison of the asymptotic stability properties for two multirate strategies

V. Savcenco

doi:10.1016/j.cam.2007.09.005

Comparison of the asymptotic stability properties for two multirate strategies

V. Savcenco

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Abstract

This paper contains a comparison of the asymptotic stability properties for two multirate strategies. For each strategy, the asymptotic stability regions are presented for a 2×2 test problem and the differences between the results are discussed. The considered multirate schemes use Rosenbrock type methods as the main time integration method and have one level of temporal local refinement. Some remarks on the relevance of the results for 2×2 test problems are presented.

Original language	English
Pages (from-to)	508-524
Journal	Journal of Computational and Applied Mathematics
Volume	220
Issue number	1-2
DOIs	https://doi.org/10.1016/j.cam.2007.09.005
Publication status	Published - 2008

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10.1016/j.cam.2007.09.005

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title = "Comparison of the asymptotic stability properties for two multirate strategies",

abstract = "This paper contains a comparison of the asymptotic stability properties for two multirate strategies. For each strategy, the asymptotic stability regions are presented for a 2×2 test problem and the differences between the results are discussed. The considered multirate schemes use Rosenbrock type methods as the main time integration method and have one level of temporal local refinement. Some remarks on the relevance of the results for 2×2 test problems are presented.",

author = "V. Savcenco",

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AB - This paper contains a comparison of the asymptotic stability properties for two multirate strategies. For each strategy, the asymptotic stability regions are presented for a 2×2 test problem and the differences between the results are discussed. The considered multirate schemes use Rosenbrock type methods as the main time integration method and have one level of temporal local refinement. Some remarks on the relevance of the results for 2×2 test problems are presented.

U2 - 10.1016/j.cam.2007.09.005

DO - 10.1016/j.cam.2007.09.005

M3 - Article

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VL - 220

SP - 508

EP - 524

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -

Comparison of the asymptotic stability properties for two multirate strategies

Abstract

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