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一类A-稳定对角隐式Runge-Kutta法的指数拟合
引用本文:陈全发,肖爱国. 一类A-稳定对角隐式Runge-Kutta法的指数拟合[J]. 吉林大学学报(理学版), 2008, 46(6): 1061-1067
作者姓名:陈全发  肖爱国
作者单位:湘南学院,数学系,湖南,郴州,423000;湘潭大学,数学与计算科学学院,湖南,湘潭,411105
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
收稿时间:2007-12-17

Exponential Fitting on a Class of A-Stable Diagonally-implicit Runge-Kutta Method
CHEN Quan-fa,XIAO Ai-guo. Exponential Fitting on a Class of A-Stable Diagonally-implicit Runge-Kutta Method[J]. Journal of Jilin University: Sci Ed, 2008, 46(6): 1061-1067
Authors:CHEN Quan-fa  XIAO Ai-guo
Affiliation: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
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.
Keywords:A-stability  diagonally implicit  Runge-Kutta method  exponential fitting
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