Error analysis of waveform relaxation method for semi-linear partial differential equations

被引：4

作者：

Ladics, Tamas ^{[1
]}

机构：

[1] Szent Istvan Univ, Ybl Miklos Coll Bldg, H-1146 Budapest, Hungary

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 285卷

基金：

美国国家科学基金会;

关键词：

Semi-linear partial differential equations; Waveform relaxation; Numerical solutions; Convergence; Windowing technique; DYNAMIC ITERATION;

D O I：

10.1016/j.cam.2015.02.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The waveform relaxation (WR) method is investigated for semi-linear partial differential equations. Explicit error estimation is given for the iteration error. A way to combine WR with convergent numerical methods is proposed, the error of the combined method is analyzed and its convergence is proven. The effect of the application of time windows is discussed. Numerical tests are presented to confirm the theoretical results. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：15 / 31

页数：17

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