INTERPOLANTS FOR RUNGE-KUTTA FORMULAS

被引：154

作者：

ENRIGHT, WH

JACKSON, KR

NORSETT, SP

THOMSEN, PG

机构：

[1] NORWEGIAN INST TECHNOL,DEPT NUMER MATH,N-7034 TRONDHEIM,NORWAY

[2] TECH UNIV DENMARK,INST NUMER ANAL,DK-2800 LYNGBY,DENMARK

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 1986年 / 12卷 / 03期

关键词：

COMPUTER PROGRAMMING - Subroutines - COMPUTER SOFTWARE;

D O I：

10.1145/7921.7923

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A general procedure for the construction of interpolants for Runge-Kutta (RK) formulas is presented. As illustrations, this approach is used to develop interpolants for three explicit RK formulas, including those employed in the well-known subroutines RKF45 and DVERK. A typical result is that no extra function evaluations are required to obtain an interpolant with O(h**5) local truncation error for the fifth-order RK formula used in RKF45; two extra function evaluations per step are required to obtain an interpolant with O(h**6) local truncation error for this RK formula.

引用

页码：193 / 218

页数：26

共 19 条

[1]

[Anonymous], 1963, J AUSTR MATH SOC, DOI [DOI 10.1017/S1446788700027932, 10.1017/S1446788700027932]

[2]

BELLEN A, 1985, 109 U STUD TRIEST I

[3]

DORMAND JR, 1986, UNPUB RUNGE KUTTA TR

[4]

ENRIGHT W, 1985, 18085 U TOR DEP COMP