On the equivalence of the continuous Adams-Bashforth method and Nordsieck's technique for changing the step size

被引：1

作者：

Hoang, N. S. ^{[1
]}

Sidje, R. B. ^{[2
]}

机构：

[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

[2] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

来源：

APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 07期

关键词：

Nordsieck; Adams-Bashforth; Multistep; Dense output; Variable step size;

D O I：

10.1016/j.aml.2013.02.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recent research has raised the question of whether Nordsieck's technique for changing the step size in the Adams-Bashforth method is equivalent to the explicit continuous Adams-Bashforth method. This work provides a complete proof that the two approaches are indeed equivalent. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：725 / 728

页数：4