STABILITY RESULTS FOR ONE-STEP DISCRETIZED COLLOCATION METHODS IN THE NUMERICAL TREATMENT OF VOLTERRA INTEGRAL-EQUATIONS

被引：7

作者：

CRISCI, MR ^{[1
]}

RUSSO, E ^{[1
]}

VECCHIO, A ^{[1
]}

机构：

[1] CNR,IST APPL MATEMAT,I-80131 NAPLES,ITALY

来源：

MATHEMATICS OF COMPUTATION | 1992年 / 58卷 / 197期

关键词：

VOLTERRA INTEGRAL EQUATIONS; DEGENERATE KERNEL; STABILITY; DISCRETE COLLOCATION METHODS; RUNGE-KUTTA METHODS;

D O I：

10.2307/2153024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the stability analysis of the discretized collocation method for the second-kind Volterra integral equation with degenerate kernel. A fixed-order recurrence relation with variable coefficients is derived, and local stability conditions are given independent of the discretization. Local stability and stability with respect to an isolated perturbation of some methods are proved. The reliability of the derived stability conditions is shown by numerical experiments.

引用

页码：119 / 134

页数：16

共 14 条

[1]

AMINI S, 1987, J APPLICABLE ANAL, V24, P241

[2]

BAKER CTH, 1980, J INTEGRAL EQUAT, V2, P11

[3] THE NUMERICAL-SOLUTION OF NONLINEAR VOLTERRA INTEGRAL-EQUATIONS OF THE 2ND KIND BY COLLOCATION AND ITERATED COLLOCATION METHODS [J].