A nonlinear optimization approach to the construction of general linear methods of high order

被引：30

作者：

Butcher, JC

Jackiewicz, Z

Mittelmann, HD

机构：

[1] UNIV AUCKLAND,DEPT MATH & STAT,AUCKLAND,NEW ZEALAND

[2] ARIZONA STATE UNIV,DEPT MATH,TEMPE,AZ 85287

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1997年 / 81卷 / 02期

基金：

美国国家科学基金会;

关键词：

general linear method; ordinary differential equation; A-stability; L-stability; least-squares minimization;

D O I：

10.1016/S0377-0427(97)00039-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the construction of diagonally implicit multistage integration methods of order and stage order p = q = 7 and p = q = 8 for ordinary differential equations. These methods were obtained using state-of-the-art optimization methods, particularly variable-model trust-region least-squares algorithms.

引用

页码：181 / 196

页数：16

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