PARALLEL COMPOUND METHODS FOR SOLVING PARTITIONED STIFF SYSTEMS

• 来源期刊: 计算数学
• 学科: 数学
• 关键词: Parallel compound methods Stiff systems Order conditions Convergence Stability.
• 年，卷（期）: 2001,（6）
• 页码范围: 639-650
• 页数: 12页
• 分类号: O1
• 语种: 英文

摘要

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.