Volume 19, Issue 6
Parallel Compound Methods for Solving Partitioned Stiff Systems

Li Rong Chen & De Gui Liu

DOI:

J. Comp. Math., 19 (2001), pp. 639-650

Published online: 2001-12

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  • 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, there convergence and their numerical stability are discussed, and the numerical tests are conducted on a personal computer and a parallel computer.

  • Keywords

Parallel compound methods Stiff Systems Order conditions Convergence Stability

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@Article{JCM-19-639, author = {}, title = {Parallel Compound Methods for Solving Partitioned Stiff Systems}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {6}, pages = {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, there convergence and their numerical stability are discussed, and the numerical tests are conducted on a personal computer and a parallel computer. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9016.html} }
TY - JOUR T1 - Parallel Compound Methods for Solving Partitioned Stiff Systems JO - Journal of Computational Mathematics VL - 6 SP - 639 EP - 650 PY - 2001 DA - 2001/12 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9016.html KW - Parallel compound methods KW - Stiff Systems KW - Order conditions KW - Convergence KW - Stability AB - 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, there convergence and their numerical stability are discussed, and the numerical tests are conducted on a personal computer and a parallel computer.
Li Rong Chen & De Gui Liu. (1970). Parallel Compound Methods for Solving Partitioned Stiff Systems. Journal of Computational Mathematics. 19 (6). 639-650. doi:
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