On implicit Runge-Kutta methods with high stage order

被引：4

作者：

Bendtsen, C ^{[1
]}

机构：

[1] TECH UNIV DENMARK,DANISH COMP CTR RES & EDUC,DK-2800 LYNGBY,DENMARK

来源：

BIT | 1997年 / 37卷 / 01期

关键词：

Runge-Kutta methods; high stage order; stiff accuracy;

D O I：

10.1007/BF02510182

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

It is well known that high stage order is a desirable property for implicit Runge-Kutta methods. In this paper it is shown that it is always possible to construct an s-stage IRK method with a given stability function and stage order s - 1 if the stability function is an approximation to the exponential function of at least order s. It is further indicated how to construct such methods as well as in which cases the constructed methods will be stiffly accurate.

引用

页码：221 / 226

页数：6