Multi-splitting waveform relaxation methods for determining periodic solutions of linear differential-algebraic equations

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Abstract

This paper use multi-splittings waveform relaxation (MSWR) method to determine the periodic solutions of linear differential-algebraic equations. Based on the spectral radius of the derived operator by decoupled process, we obtain some convergent conditions for the MSWR method. Numerical example in circuit simulation is provided to further confirm the theoretical analysis and also show that the multi-splitting technique can effectively accelerate the convergent performance of the iterative process.

Original languageEnglish
Title of host publicationProceedings - 4th International Conference on Natural Computation, ICNC 2008
Pages325-330
Number of pages6
DOIs
StatePublished - 2008
Event4th International Conference on Natural Computation, ICNC 2008 - Jinan, China
Duration: 18 Oct 200820 Oct 2008

Publication series

NameProceedings - 4th International Conference on Natural Computation, ICNC 2008
Volume1

Conference

Conference4th International Conference on Natural Computation, ICNC 2008
Country/TerritoryChina
CityJinan
Period18/10/0820/10/08

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