Two-step almost collocation methods for Volterra integral equations

被引：47

作者：

Conte, D. ^{[1
]}

Jackiewicz, Z. ^{[2
]}

Paternoster, B. ^{[1
]}

机构：

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

[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 204卷 / 02期

关键词：

Two-step collocation methods; Volterra integral equations; Order conditions; Convergence; Stability analysis; A-stability;

D O I：

10.1016/j.amc.2008.07.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we construct a new class of continuous methods for Volterra integral equations. These methods are obtained by using a collocation technique and by relaxing some of the collocation conditions in order to obtain good stability properties. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：839 / 853

页数：15

共 23 条

[1]

[Anonymous], J COMPUT APPL MATH

[2] Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations [J].