指数拟合的Runge-Kutta公式

被引：10

作者：

阮保庚

机构：

[1] 九江师专数学系

来源：

数值计算与计算机应用 | 1999年 / 02期

关键词：

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 [计算数学];

摘要：

A class of RK methods consistent of order at least 2 is offered so that the unity of thetwo-stage Gauss, Radau and Lobatte formulae is achieved. Based on the class of axmethods exponentially fitted ax formulae of order 2 with two parameters and of order3 with one parameter are given, which are not only A-stable but also algebraicallystable, and therefore suitable for integration with a large stepsize for fast decayingcomponents of linear and nonlinear stiff systems.

引用

页码：88 / 97

页数：10