An efficient scheme for the implementation of implicit Runge-Kutta methods

被引：0
|
作者：
L. M. Skvortsov
机构：
[1] Bauman State Technical University,
来源：
Computational Mathematics and Mathematical Physics | 2008年 / 48卷
关键词：
implicit Runge-Kutta methods; modified Newton’s iteration; starting values; stiffness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A scheme is proposed for solving nonlinear algebraic equations arising in the implementation of the implicit Runge-Kutta methods. In contrast to the available schemes, not only the starting values of the variables but also those of the derivatives are predicted. This makes it possible to reduce the number of evaluations of the function (the right-hand side) at each implicit stage without significantly reducing the accuracy of integration.
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页码：2007 / 2017
页数：10
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