Experiments with a variable-order type 1 DIMSIM code

被引：31
作者：
Butcher, JC
Chartier, P
Jackiewicz, Z
机构：
[1] Univ Auckland, Dept Math, Auckland, New Zealand
[2] Inst Natl Rech Informat & Automat, F-35042 Rennes, France
[3] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA
来源：
NUMERICAL ALGORITHMS | 1999年 / 22卷 / 3-4期
关键词：
DIMSIM methods; Nordsieck representation; local error estimation; step size and order changing strategy;
D O I：
10.1023/A:1019135630307
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The issues related to the development of a new code for nonstiff ordinary differential equations are discussed. This code is based on the Nordsieck representation of type 1 DIMSIMs, implemented in a variable-step size variable-order mode. Numerical results demonstrate that the error estimation employed in the code is very reliable and that the step and order changing strategies are very robust. This code outperforms the Matlab ode45 code for moderate and stringent tolerances.
引用
收藏
页码：237 / 261
页数：25
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