Year: 2001
Author: Li-Rong Chen, De-Gui Liu
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 6 : pp. 639–650
Abstract
This paper deals with the solution of partitioned systems of nonlinear stiff differential equations. Given a differential system, the user may specify some equations to be stiff and others to be nonstiff. For the numerical solution of such a system Parallel Compound Methods (PCMs) are studied. Nonstiff equations are integrated by a parallel explicit RK method while a parallel Rosenbrock method is used for the stiff part of the system.
Their order conditions, their convergence and their numerical stability are discussed, and the numerical tests are conducted on a personal computer and a parallel computer.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-9016
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 6 : pp. 639–650
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Parallel compound methods Stiff Systems Order conditions Convergence Stability.