TRANSFORMED IMPLICIT RUNGE-KUTTA METHOD

被引：46

作者：

BUTCHER, JC

机构：

[1] Department of Mathematics, University of Auckland, Auckland

来源：

JOURNAL OF THE ACM | 1979年 / 26卷 / 04期

关键词：

implicit Runge-Kutta methods; modified Newton iteration; ordinary differential equations;

D O I：

10.1145/322154.322163

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Certain lmphclt Runge-Kutta methods are capable of being transformed into a form which makes the modified Newton iterates in their implementation capable of efficient computation. For the class of such methods considered, the transformations are given exphcltly, and it is shown how error estimates, as well as initial iterates for a succeeding step, can be expressed in terms of the transformed variables. © 1979, ACM. All rights reserved.

引用

页码：731 / 738

页数：8