PARALLEL DYNAMIC ITERATION METHODS FOR SOLVING NONLINEAR TIME-PERIODIC DIFFERENTIAL-ALGEBRAIC EQUATIONS

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Nonlinear dynamic equations Periodic solutions Dynamic iterations Engi-neering applications.
• 年，卷（期）: 2003,（3）
• 页码范围: 367-374
• 页数: 8页
• 分类号: O1
• 语种: 英文

摘要

In this paper we presented a convergence condition of parallel dynamic iteration methods for a nonlinear system of differential-algebraic equations with a periodic constraint.The convergence criterion is decided by the spectral expression of a linear operator derivedfrom system partitions. Numerical experiments given here confirm the theoretical work ofthe paper.