Butcher algebras for Butcher systems

被引：0
|
作者：
Sergey Khashin
机构：
[1] Ivanovo State University,Department of Mathematics
来源：
Numerical Algorithms | 2013年 / 63卷
关键词：
Runge-Kutta; Butcher system; Butcher equations; Butcher algebra; Algebraic approach to Runge-Kutta;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate rigorously the properties of the Butcher upper and lower algebras introduced earlier. This investigation provides a new representation of the order conditions which leads to a new approach to simplifying conditions and a way to obtain new methods of high orders explicitly.
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页码：679 / 689
页数：10
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