CONSTRUCTION OF HIGH-ORDER SYMPLECTIC RUNGE-KUTTA METHODS

被引：13

作者：

SUN, G ^{[1
]}

机构：

[1] CHINESE ACAD SCI,INST MATH,BEIJING,PEOPLES R CHINA

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 1993年 / 11卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Characterizations of symmetric and symplectic Runge-Kutta methods, which are based on the W-transformation of Hairer and Wanner, are presented. Using these characterizations we, construct two classes of high order symplectic (symmetric and algebraically stable or algebraically stable ) Runge-Kutta methods. They include and extend known classes of high order implicit Runge-Kutta methods.

引用

页码：250 / 260

页数：11

共 13 条

[1] STABILITY-CRITERIA FOR IMPLICIT RUNGE-KUTTA METHODS [J].