Two-step almost collocation methods for ordinary differential equations

被引:0
|
作者
R. D’Ambrosio
M. Ferro
Z. Jackiewicz
B. Paternoster
机构
[1] Universitá di Salerno,Dipartimento di Matematica e Informatica
[2] Universitá di Napoli - “Federico II”,Dipartimento di Matematica e Applicazioni
[3] Arizona State University,Department of Mathematics and Statistics
来源
Numerical Algorithms | 2010年 / 53卷
关键词
Two-step collocation methods; Order conditions; Absolute stability; A-stability; Local error estimation;
D O I
暂无
中图分类号
学科分类号
摘要
A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. These methods are obtained using the collocation approach by relaxing some of the collocation conditions to obtain methods with desirable stability properties. Local error estimation for these methods is also discussed.
引用
收藏
页码:195 / 217
页数:22
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