Note on convergence conditions of waveform relaxation algorithms for nonlinear differential-algebraic equations

Yao Lin Jiang; Omar Wing

doi:10.1016/S0168-9274(00)00010-6

Note on convergence conditions of waveform relaxation algorithms for nonlinear differential-algebraic equations

Yao Lin Jiang
, Omar Wing

School of Mathematics and Statistics

Chinese University of Hong Kong

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

24 Scopus citations

Abstract

We present and prove a new sufficient condition for convergence of the general waveform relaxation algorithm in the solution of a system of nonlinear differential-algebraic equations. The proof is based on the spectral theory of linear operators. The new condition suggests and we demonstrate that previously published sufficient conditions are unnecessarily restrictive.

Original language	English
Pages (from-to)	281-297
Number of pages	17
Journal	Applied Numerical Mathematics
Volume	36
Issue number	2-3
DOIs	https://doi.org/10.1016/S0168-9274(00)00010-6
State	Published - Feb 2001

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title = "Note on convergence conditions of waveform relaxation algorithms for nonlinear differential-algebraic equations",

abstract = "We present and prove a new sufficient condition for convergence of the general waveform relaxation algorithm in the solution of a system of nonlinear differential-algebraic equations. The proof is based on the spectral theory of linear operators. The new condition suggests and we demonstrate that previously published sufficient conditions are unnecessarily restrictive.",

author = "Jiang, \{Yao Lin\} and Omar Wing",

year = "2001",

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AB - We present and prove a new sufficient condition for convergence of the general waveform relaxation algorithm in the solution of a system of nonlinear differential-algebraic equations. The proof is based on the spectral theory of linear operators. The new condition suggests and we demonstrate that previously published sufficient conditions are unnecessarily restrictive.

UR - https://www.scopus.com/pages/publications/0035254323

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DO - 10.1016/S0168-9274(00)00010-6

M3 - 文章

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VL - 36

SP - 281

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JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

IS - 2-3

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Note on convergence conditions of waveform relaxation algorithms for nonlinear differential-algebraic equations

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