Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 1 : pp. 49–66
Abstract
In this paper we consider continuous-time and discrete-time waveform relaxation methods for general nonlinear integral-differential-algebraic equations. For the continuous-time case we derive the convergence condition of the iterative methods by invoking the spectral theory on the resulting iterative operators. By using the implicit difference forms, namely the backward-differentiation formulae, we also yield the convergence condition of the discrete waveforms. Numerical experiments are provided to illustrate the theoretical work reported here.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8795
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 1 : pp. 49–66
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Nonlinear integral-differential-algebraic equations Waveform relaxation Parallel solutions Convergence of iterative methods Engineering applications.