On Solvability and Waveform Relaxation Methods of Linear Variable-Coefficient Differential-Algebraic Equations
Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 6 : pp. 696–720
Abstract
This paper is concerned with the solvability and waveform relaxation methods of linear variable-coefficient differential-algebraic equations (DAEs). Most of the previous works have been focused on linear variable-coefficient DAEs with smooth coefficients and data, yet no results related to the convergence rate of the corresponding waveform relaxation methods has been obtained. In this paper, we develope the solvability theory for the linear variable-coefficient DAEs on Legesgue square-integrable function space in both traditional and least squares senses, and determine the convergence rate of the waveform relaxation methods for solving linear variable-coefficient DAEs.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1405-m4417
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 6 : pp. 696–720
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Differential-algebraic equations Integral operator Fourier transform Waveform relaxation method.
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Stability for discrete time waveform relaxation methods based on Euler schemes
Lai, Junjiang
Fan, Zhencheng
AIMS Mathematics, Vol. 8 (2023), Iss. 10 P.23713
https://doi.org/10.3934/math.20231206 [Citations: 0]