A simple technique for constructing two-step Runge-Kutta methods

被引：1

作者：

Skvortsov, L. M. ^{[1
]}

机构：

[1] Bauman State Tech Univ, Moscow 105005, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2009年 / 49卷 / 11期

关键词：

two-step Runge-Kutta methods; stage order; explicit methods; diagonally implicit methods; stiff systems of equations; ORDINARY DIFFERENTIAL-EQUATIONS; ORDER CONDITIONS;

D O I：

10.1134/S0965542509110025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A technique is proposed for constructing two-step Runge-Kutta methods on the basis of one-step methods. Explicit and diagonally implicit two-step methods with the second or third stage order are examined. Test problems are presented showing that the proposed methods are superior to conventional one-step techniques.

引用

页码：1837 / 1846

页数：10

共 15 条

[1]

[Anonymous], 2002, MAT MODEL

[2] Construction of two-step Runge-Kutta methods of high order for ordinary differential equations [J].