Triangular splitting implementation of RKN-type Fourier collocation methods for second-order differential equations

被引：12

作者：

Wang, Bin ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 05期

基金：

中国国家自然科学基金;

关键词：

RKN-type Fourier collocation methods; second-order differential equations; triangular splitting implementation; INITIAL-VALUE PROBLEMS; KUTTA-NYSTROM METHODS; EFFICIENT IMPLEMENTATION; NUMERICAL-SOLUTION; IMPLICIT METHODS; ODES; SOLVERS;

D O I：

10.1002/mma.4727

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A triangular splitting implementation of Runge-Kutta-Nystrom-type Fourier collocation methods is presented and analyzed in this paper. The proposed implementation relies on a reformulation of the method and on the Crout factorization of a corresponding matrix associated with the method. The excellent behavior of the splitting implementation is confirmed by its performance on a few numerical tests.

引用

页码：1998 / 2011

页数：14

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