A Class of Multiderivative Hybrid One-step Methods

被引：0
|
作者：
Feng-jian Yang
机构：
来源：
Acta Mathematicae Applicatae Sinica(English Series) | 2002年 / 03期
基金：
中国国家自然科学基金;
关键词：
Hybrid one-step method; rational approximation; A-stability;
D O I：
暂无
中图分类号：
O241 [数值分析];
学科分类号：
070102 ;
摘要：
This paper presents a class of hybrid one-step methods that are obtained by using Cramer’s rule and rational approximations to function exp(q). The algorithms fall into the catalogue of implicit formula, which involves sth order derivative and s+1 free parameters. The order of the algorithms satisfies s+1≤p≤2s+2. The stability of the methods is also studied, necessary and sufficient conditions for A-stability and L-stability are given. In addition, some examples are also given to demonstrate the method presented.
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页码：481 / 488
页数：8
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