ON THE NUMERICAL STABILITY OF VOLTERRA INTEGRAL-EQUATIONS WITH DELAY ARGUMENT

被引:11
作者
CAHLON, B [1 ]
机构
[1] OAKLAND UNIV,DEPT MATH SCI,ROCHESTER,MI 48309
关键词
VOLTERRA INTEGRAL EQUATIONS; DELAY; STABILITY REGIONS; REDUCIBLE QUADRATURE METHODS;
D O I
10.1016/0377-0427(90)90259-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Stability properties of numerical methods for Volterra integral equations with delay arguments are considered. Some suitable definitions for the stability of the numerical methods are included and also plots of the stability regions for particular cases are included.
引用
收藏
页码:97 / 104
页数:8
相关论文
共 15 条
[1]  
AMNI S, 1983, J INTEGRAL EQUAT, V5, P73
[2]   STABILITY REGIONS IN NUMERICAL TREATMENT OF VOLTERRA INTEGRAL-EQUATIONS [J].
BAKER, CTH ;
KEECH, MS .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1978, 15 (02) :394-417
[3]  
Bellman R., 1963, DIFFERENTIAL DIFFERE, DOI 10.1063/1.3050672
[4]  
BOWNDS JM, 1976, FUNKC EKVACIOJ-SER I, V19, P101
[5]  
CAHLON B, 1984, J INTEGRAL EQUAT, V7, P191
[6]  
GRAND T, 1986, THESIS U ZARAGOZA
[7]   ASYMPTOTIC STABILITY ANALYSIS OF THETA-METHODS FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].
JACKIEWICZ, Z .
NUMERISCHE MATHEMATIK, 1984, 43 (03) :389-396
[8]  
Lambert J.D, 1973, COMPUTATIONAL METHOD
[9]  
MARSDEN M, 1966, GEOMETRY POLYNOMIALS
[10]  
MORUGIM D, 1961, SOVETSKOE RADIO