ALGORITHM 689 - DISCRETIZED COLLOCATION AND ITERATED COLLOCATION FOR NONLINEAR VOLTERRA INTEGRAL-EQUATIONS OF THE 2ND KIND

被引：9

作者：

BLOM, JG

BRUNNER, H

机构：

[1] CTR MATH & COMP SCI,1098 SJ AMSTERDAM,NETHERLANDS

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

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 1991年 / 17卷 / 02期

关键词：

ALGORITHMS; DOCUMENTATION; PERFORMANCE; RELIABILITY; ERROR ESTIMATIONS; (ITERATED) COLLOCATION; LOCAL SUPERCONVERGENCE; SYSTEMS OF NONLINEAR VOLTERRA INTEGRAL EQUATIONS OF THE 2ND KIND; VARIABLE STEPSIZE;

D O I：

10.1145/108556.108562

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper describes a FORTRAN code for calculating approximate solutions to systems of nonlinear Volterra integral equations of the second kind. The algorithm is based on polynomial spline collocation, with the possibility of combination with the corresponding iterated collocation. It exploits certain local superconvergence properties for the error estimation and the stepsize strategy.

引用

页码：167 / 177

页数：11