Stability of BDF methods for nonlinear Volterra integral equations with delay

Computers and Mathematics with Applications

Volumn 43, Issue 1-2, 2002, Pages 95-102

  Zhang, C J ^a   Liao, X X ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

BDF methods; Nonlinear Volterra integral equations with delay; Stability

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; CONFORMAL MAPPING; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS;

BACKWARD DIFFERENTIAL FORMULAS; CAHLONS COMPUTATIONAL SCHEME; LIPSCHITZ CONDITION; VOLTERRA INTEGRAL EQUATIONS;

ASYMPTOTIC STABILITY;

EID: 0036141582     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00275-9     Document Type: Article

References (15)

1. Stability analysis of numerical methods for Volterra integral equations with polynomial convolution kernels
2. Stability regions in the numerical treatment of Volterra integral equations
3. On the numerical stability of reducible quadrature methods for second kind Volterra integral equations
4. The construction of reducible quadrature methods for Volterra integral and integro-differential equations
5. Numerical solution of Volterra integral equations with delay arguments
6. On the numerical stability of Volterra integral equations with delay arguments
7. Error analysis of a class of methods for stiff nonlinear initial value problems
8. G-stability is equivalent to A-stability
9. Stability of numerical methods for delay differential equations
10. Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations
11. Stability and error analysis of one-leg methods for stiff delay differential equations