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2005年03月25日

【期刊论文】A Note on ConVergence Conditions of Waveform Relaxation Algorithms for Nonlinear Differential-Algebraic Equations*

蒋耀林， Yao-Lin Jiang，， Omar Wing

This paper was published in Applied Numerical Mathematics (vol. 36, no.2-3, pp. 281-297, 2004).，-0001，（）：

-1年11月30日

摘要

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

Nonlinear differential-algebraic equations,， Picard iteration,， waveform relaxation,， eircuit sinnllation

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西安交通大学，陕西

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