COLLOCATION AND CONTINUOUS IMPLICIT RUNGE-KUTTA METHODS FOR A CLASS OF DELAY VOLTERRA INTEGRAL-EQUATIONS

被引：11

作者：

BRUNNER, H ^{[1
]}

机构：

[1] MEM UNIV NEWFOUNDLAND,DEPT MATH & STAT,ST JOHNS,NF A1C 5S7,CANADA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1994年 / 53卷 / 01期

关键词：

VOLTERRA INTEGRAL EQUATIONS WITH DELAY; IMPLICIT RUNGE-KUTTA METHODS; COLLOCATION;

D O I：

10.1016/0377-0427(92)00125-S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present an analysis of the global convergence properties of certain piecewise polynomial collocation methods for a class of Volterra integral equations with constant delay. This analysis also encompasses continuous implicit m-stage Volterra-Runge-Kutta methods based on collocation techniques.

引用

页码：61 / 72

页数：12

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