A RECONSIDERATION OF SOME EMBEDDED RUNGE-KUTTA FORMULAS

被引：74

作者：

DORMAND, JR

PRINCE, PJ

机构：

[1] TEESSIDE POLYTECH,DEPT MATH & STAT,MIDDLESBROUGH TS1 3BA,CLEVELAND,ENGLAND

[2] TEESSIDE POLYTECH,DEPT COMP SCI,MIDDLESBROUGH TS1 3BA,CLEVELAND,ENGLAND

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1986年 / 15卷 / 02期

关键词：

SYSTEM STABILITY;

D O I：

10.1016/0377-0427(86)90027-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The RK5(4) and RK6(5) embedded Runge-Kutta formulae are reconsidered with regard to enlarging regions of absolute stability while retaining satisfactory truncation error norms. Results from standard tests for the above pairs are presented in comparison with an efficient RK8(7) embedded formula.

引用

页码：203 / 211

页数：9

共 12 条

[1]

Dormand J., 1980, Journal of Computational and Applied Mathematics, V6, P19, DOI 10.1016/0771-050X(80)90013-3

[2] GLOBAL ERROR ESTIMATION WITH RUNGE-KUTTA METHODS [J].