SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION

被引：1

作者：

Xia, Kaifeng ^{[1
]}

Cong, Yuhao ^{[1
,2
]}

Sun, Geng ^{[3
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200041, Peoples R China

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Runge-Kutta method; symplectic and algebraically stable method; W-transformation;

D O I：

10.11948/2017074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper , characterizations of symmetric and symplectic Runge-Kutta methods based on the W-transformation of Hairer and Wanner are presented. Using these characterizations, we construct two families symplectic (symmetric and algebraically stable or algebraically stable) Runge-Kutta methods of high order. Methods constructed in this way and presented in this paper include and extend the known classes of high order implicit Runge-Kutta methods.

引用

页码：1185 / 1199

页数：15

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