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

Li-Rong Chen & De-Gui Liu

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, their 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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COPYRIGHT: © Global Science Press

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@Article{JCM-19-639, author = {Chen , Li-Rong and Liu , De-Gui}, 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, their 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 AU - Chen , Li-Rong AU - Liu , De-Gui 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, Stiff Systems, Order conditions, Convergence, 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, their convergence and their numerical stability are discussed, and the numerical tests are conducted on a personal computer and a parallel computer.  

Chen , Li-Rong and Liu , De-Gui. (2001). Parallel Compound Methods for Solving Partitioned Stiff Systems. Journal of Computational Mathematics. 19 (6). 639-650. doi:
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