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.
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页码：1185 / 1199
页数：15
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