✦ LIBER ✦

Convergence analysis of waveform relaxation methods for neutral differential-functional systems

✍ Scribed by Shulin Wu; Chengming Huang

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 986 KB
Volume: 223
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.01.009

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✦ Synopsis

In this paper, the problems of convergence and superlinear convergence of continuous-time waveform relaxation method applied to Volterra type systems of neutral functional-differential equations are discussed. Under a Lipschitz condition with time-and delaydependent right-hand side imposed on the so-called splitting function, more suitable conditions about convergence and superlinear convergence of continuous-time WR method are obtained. We also investigate the initial interval acceleration strategy for the practical implementation of the continuous-time waveform relaxation method, i.e., discrete-time waveform relaxation method. It is shown by numerical results that this strategy is efficacious and has the essential acceleration effect for the whole computation process.

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