CONTINUOUS VOLTERRA-RUNGE-KUTTA METHODS FOR INTEGRAL-EQUATIONS WITH PURE DELAY

被引：10

作者：

BADDOUR, N

BRUNNER, H

机构：

[1] Dept. of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, A1C 5S7, Newfoundland

来源：

COMPUTING | 1993年 / 50卷 / 03期

关键词：

VOLTERRA INTEGRAL EQUATIONS WITH DELAY; COLLOCATION; CONTINUOUS RUNGE-KUTTA METHODS; SUPERCONVERGENCE;

D O I：

10.1007/BF02243812

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In the following we give an analysis of the local superconvergence properties of piecewise polynomial collocation methods and related continuous Runge-Kutta-type methods for Volterra integral equations with constant delay. We show in particular that (in contrast to delay differential equations) collocation at the Gauss points does not lead to higher-order convergence and thus m-stage Gauss-Runge-Kutta methods for delay Volterra equations do not possess the order p = 2m.

引用

页码：213 / 227

页数：15

共 16 条

[1]

ARNDT H, 1987, 4TH INT SEM NUMDIFF, V104, P19

[2] R-K FORMULAS APPLIED TO VOLTERRA-EQUATIONS WITH DELAY [J].