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

共 50 条

[1] STABILITY ANALYSIS OF THE DEHOOG AND WEISS IMPLICIT RUNGE-KUTTA METHODS FOR THE VOLTERRA INTEGRAL AND INTEGRODIFFERENTIAL EQUATIONS
CRISCI, MR
RUSSO, E
VECCHIO, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1990, 29 (03) : 329 - 341
[2] RUNGE-KUTTA THEORY FOR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS
LUBICH, C
[J]. NUMERISCHE MATHEMATIK, 1982, 40 (01) : 119 - 135
[3] NATURAL CONTINUOUS EXTENSIONS OF RUNGE-KUTTA METHODS FOR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS
VERMIGLIO, R
[J]. NUMERISCHE MATHEMATIK, 1988, 53 (04) : 439 - 458
[4] Highly stable Runge-Kutta methods for Volterra integral equations
Izzo, G.
Russo, E.
Chiapparelli, C.
[J]. APPLIED NUMERICAL MATHEMATICS, 2012, 62 (08) : 1002 - 1013
[5] A class of Runge-Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels
Lichae, Bijan Hasani
Biazar, Jafar
Ayati, Zainab
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[6] STABILITY ANALYSIS OF RUNGE-KUTTA METHODS FOR VOLTERRA INTEGRAL-EQUATIONS OF THE 2ND KIND
BELLEN, A
JACKIEWICZ, Z
VERMIGLIO, R
ZENNARO, M
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 1990, 10 (01) : 103 - 118
[7] Highly stable multistep Runge-Kutta methods for Volterra integral equations
Wen, Jiao
Xiao, Aiguo
Huang, Chengming
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04):
[8] Stability analysis of Runge-Kutta methods for Volterra integro-differential equations
Wen, Jiao
Huang, Chengming
Li, Min
[J]. APPLIED NUMERICAL MATHEMATICS, 2019, 146 : 73 - 88
[9] ON THE STABILITY OF RUNGE-KUTTA METHODS FOR DELAY INTEGRAL-EQUATIONS
VERMIGLIO, R
[J]. NUMERISCHE MATHEMATIK, 1992, 61 (04) : 561 - 577
[10] STABILITY ANALYSIS OF RUNGE-KUTTA METHODS APPLIED TO A BASIC VOLTERRA INTEGRAL-EQUATION
BAKER, CTH
WILKINSON, JC
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1981, 22 : 515 - 538

← 1 2 3 4 5 →