Second derivative methods with RK stability

被引:0
|
作者
J. C. Butcher
G. Hojjati
机构
[1] The University of Auckland,Department of Mathematics
[2] Tabriz University,Faculty of Mathematical science
来源
Numerical Algorithms | 2005年 / 40卷
关键词
stiff ODEs; multistep and multiderivative methods; general linear methods;
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学科分类号
摘要
General linear methods are extended to the case in which second derivatives, as well as first derivatives, can be calculated. Methods are constructed of third and fourth order which are A-stable, possess the Runge–Kutta stability property and have a diagonally implicit structure for efficient implementation.
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页码:415 / 429
页数:14
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