Multistep collocation methods for Volterra integro-differential equations

被引：40

作者：

Cardone, Angelamaria ^{[1
]}

Conte, Dajana ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, SA, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 221卷

关键词：

Volterra integro-differential equations; Multistep collocation; Superconvergence; Stability; INTEGRO-DIFFERENTIAL EQUATIONS; NUMERICAL-METHODS; QUADRATIC STABILITY; NORDSIECK METHODS; SYSTEMS;

D O I：

10.1016/j.amc.2013.07.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multistep collocation methods for Volterra integro-differential equations are derived and analyzed. They increase the order of convergence of classical one-step collocation methods, at the same computational cost. The numerical stability analysis is carried out and classes of A(0)-stable methods are provided. Numerical experiments confirm theoretical expectations and make comparisons with the one-step collocation methods. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：770 / 785

页数：16

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