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

被引：9
|
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.
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页码：213 / 227
页数：15
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