A history of Runge-Kutta methods

被引：198
作者：
Butcher, JC
机构：
[1] Department of Mathematics, University of Auckland, Auckland
来源：
APPLIED NUMERICAL MATHEMATICS | 1996年 / 20卷 / 03期
关键词：
D O I：
10.1016/0168-9274(95)00108-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper constitutes a centenary survey of Runge-Kutta methods. It reviews some of the early contributions due to Runge, Heun, Kutta and Nystrom and leads on to the theory of order of accuracy of Runge-Kutta methods, and includes a discussion of implicit methods, stability analysis and methods of error estimation and dense output.
引用
收藏
页码：247 / 260
页数：14
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