一类A-稳定对角隐式Runge-Kutta法的指数拟合

一类A-稳定对角隐式Runge-Kutta法的指数拟合

陈全发¹, 肖爱国²

1. 湘南学院数学系, 湖南郴州 423000; 2. 湘潭大学数学与计算科学学院, 湖南湘潭 411105

收稿日期:2007-12-17 修回日期:1900-01-01 出版日期:2008-11-26 发布日期:2008-11-26
通讯作者: 陈全发

Exponential Fitting on a Class of AStable Diagonallyimplicit RungeKutta Method

CHEN Quanfa¹, XIAO Aiguo²

1. Department of Mathematics, Xiangnan University, Chenzhou 423000, Hunan Province, China;2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan Province, China

Received:2007-12-17 Revised:1900-01-01 Online:2008-11-26 Published:2008-11-26
Contact: CHEN Quanfa

摘要/Abstract

摘要： 研究具有显式级的A-稳定3级对角隐式Runge-Kutta方法的单点指数拟合, 构造了相应的A-稳定指数拟合公式, 并讨论了最佳拟合频率的选取及步长控制策略.

关键词: A-稳定, 对角隐式, Runge-Kutta方法, 指数拟合

Abstract: The onepoint exponentialfitting of threestage diagonallyimplicit Runge-Kutta method with an A-stableand explicit stage was studied, a corresponding exponentialfitting formula of A-stable was constructed, choosing the best frequency and controlling the length were also discussed.

Key words: A-stability, diagonallyimplicit, Runge-Kutta method, exponentialfitting

中图分类号:

O241.81

陈全发, 肖爱国. 一类A-稳定对角隐式Runge-Kutta法的指数拟合[J]. J4, 2008, 46(06): 1061-1067.

CHEN Quanfa, XIAO Aiguo. Exponential Fitting on a Class of AStable Diagonallyimplicit RungeKutta Method[J]. J4, 2008, 46(06): 1061-1067.

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