GLOBAL STABILITY ANALYSIS OF THE RUNGE-KUTTA METHODS FOR VOLTERRA INTEGRAL AND INTEGRODIFFERENTIAL EQUATIONS WITH DEGENERATE KERNELS

被引：6

作者：

CRISCI, MR

JACKIEWICZ, Z

RUSSO, E

VECCHIO, A

机构：

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

[2] ARIZONA STATE UNIV,DEPT MATH,TEMPE,AZ 85287

来源：

COMPUTING | 1990年 / 45卷 / 04期

关键词：

VOLTERRA INTEGRAL EQUATION; VOLTERRA INTEGRODIFFERENTIAL EQUATION; DEGENERATE KERNEL; STABILITY; RUNGE-KUTTA METHOD;

D O I：

10.1007/BF02238797

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous results obtained by the authors for exact collocation methods for these equations.

引用

页码：291 / 300

页数：10

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