Perturbed second derivative multistep methods

被引：10

作者：

Ezzeddine, Ali K. ^{[1
]}

Hojjati, Gholamreza ^{[1
]}

Abdi, Ali ^{[1
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran

来源：

JOURNAL OF NUMERICAL MATHEMATICS | 2015年 / 23卷 / 03期

关键词：

Second derivative multistep methods; general linear methods; A-stability; A(alpha)-stability; stiff systems; ORDINARY DIFFERENTIAL-EQUATIONS; GENERAL LINEAR METHODS; STIFF SYSTEMS; INTEGRATION METHODS; FORMULAS; ODES; CONSTRUCTION; STABILITY; ORDER;

D O I：

10.1515/jnma-2015-0015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Extended second derivative multistep methods and their modified form have been introduced as efficient numerical solvers for stiff systems. Considering these methods from second derivative general linear methods point of view, we construct some perturbations of these methods which improve their stability properties while preserve their order. Numerical experiments confirm efficiency of the constructed perturbed methods.

引用

页码：235 / 245

页数：11

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