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 - <p style="text-align: justify;">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. <br/>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. &nbsp;</p>