A perspective on the numerical treatment of Volterra equations

被引：91

作者：

Baker, CTH ^{[1
]}

机构：

[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 125卷 / 1-2期

关键词：

Volterra and Abel equations; quadrature; Runge-Kutta and collocation methods; convergence; super-convergence; stability;

D O I：

10.1016/S0377-0427(00)00470-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：217 / 249

页数：33

共 122 条

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[4]

Baker C.T.H., 1997, STATE ART NUMERICAL, P193

[5]

Baker C.T.H., 1982, Treatment of integral equations by numerical methods

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BAKER, CTH ;

MAKROGLOU, A ;

SHORT, E .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1979, 16 (06) :890-910

[7] Stability analysis of continuous implicit Runge-Kutta methods for Volterra integro-differential systems with unbounded delays [J].

Baker, CTH ;

Tang, A .

APPLIED NUMERICAL MATHEMATICS, 1997, 24 (2-3) :153-173

[8] FFT TECHNIQUES IN THE NUMERICAL-SOLUTION OF CONVOLUTION EQUATIONS [J].

BAKER, CTH ;

DERAKHSHAN, MS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1987, 20 :5-24

[9] STABILITY REGIONS IN NUMERICAL TREATMENT OF VOLTERRA INTEGRAL-EQUATIONS [J].

BAKER, CTH ;

KEECH, MS .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1978, 15 (02) :394-417

[10]

BAKER CTH, 1988, INT SCHRIFTENREIHE N, V85, P1

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