✦ LIBER ✦

On convergence conditions of waveform relaxation methods for linear differential-algebraic equations

✍ Scribed by Zhong-Zhi Bai; Xi Yang

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 429 KB
Volume: 235
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.11.031

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✦ Synopsis

For linear constant-coefficient differential-algebraic equations, we study the waveform relaxation methods without demanding the boundedness of the solutions based on infinite time interval. In particular, we derive explicit expression and obtain asymptotic convergence rate of this class of iteration schemes under weaker assumptions, which may have wider and more useful application extent. Numerical simulations demonstrate the validity of the theory.

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