WAVEFORM RELAXATION METHODS OF NONLINEAR INTEGRAL-DIFFERENTIAL-ALGEBRAIC EQUATIONS

• 来源期刊: 计算数学(英文版)
• 关键词: Nonlinear integral-differential-algebraic equations Waveform relaxation Parallel solutions Convergence of iterative methods Engineering applications.
• 年，卷（期）: 2005,（1）
• 页码范围: 49-66
• 页数: 18页
• 语种: 英文

摘要

In this paper we consider continuous-time and discrete-time waveform relaxation methods for general nonlinear integral-differential-algebraic equations. For the continuous-time case we derive the convergence condition of the iterative methods by invoking the spectral theory on the resulting iterative operators. By use of the implicit difference forms,namely the backward-differentiation formulae, we also yield the convergence condition of the discrete waveforms. Numerical experiments are provided to illustrate the theoretical work reported here.