An efficient Runge-Kutta (4,5) pair

被引：74

作者：

Bogacki, P ^{[1
]}

Shampine, LF ^{[1
]}

机构：

[1] SO METHODIST UNIV,DEPT MATH,DALLAS,TX 75275

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1996年 / 32卷 / 06期

关键词：

ordinary differential equations; Runge-Kutta; RKSUITE; continuous extension; local error;

D O I：

10.1016/0898-1221(96)00141-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A pair of explicit Runge-Kutta formulas of orders 4 and 5 is derived. It is significantly more efficient than the Fehlberg and Dormand-Prince pairs, and by standard measures it is of at least as high quality. There are two independent estimates of the local error. The local error of the interpolant is, to leading order, a problem-independent function of the local error at the end of the step.

引用

页码：15 / 28

页数：14

共 34 条

[1]

BETTIS DG, COMMUNICATION

[2]

BOGACKI P, 1989, APPL MATH LETT, V2, P1

[3]

BOGACKI P, 1990, THESIS SO METH U MAT

[4]

BOGACKI P, 1989, THESIS SO METH U MAT

[5]

BOGACKI P, 1989, 8920 SO METH U MATH

[6]

BRANKIN RW, 1991, 911 SO METH U MATH D

[7]

BRANKIN RW, 1993, RKSUITE SUITE EXPLIC

[8]

Butcher J. C., 1987, The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods

[9]

BUZBEE BL, 1984, SOURCES DEV MATH SOF, pCH11

[10]

CALVO M, 1992, COMPUTATIONAL ORDINA, P135

← 1 2 3 4 →