Unconditionally stable general linear methods for ordinary differential equations

被引：11
|
作者：
Butcher, JC
Jackiewicz, Z
机构：
[1] Univ Auckland, Dept Math, Auckland, New Zealand
[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
来源：
BIT NUMERICAL MATHEMATICS | 2004年 / 44卷 / 03期
基金：
美国国家科学基金会;
关键词：
general linear methods; inherent Runge-Kutta stability; unconditional stability;
D O I：
10.1023/B:BITN.0000046804.67936.06
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We describe a new approach to the construction of general linear methods with inherent Runge-Kutta stability properties, which are unconditionally stable for any stepsize pattern. These methods permit an accurate, efficient and reliable estimation of the local discretization errors. This is confirmed by numerical experiments.
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页码：557 / 570
页数：14
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