Stability analysis of one-step methods for neutral delay-differential equations

Numerische Mathematik

Volumn 52, Issue 6, 1988, Pages 605-619

  Bellen, A ^a   Jackiewicz, Z ^b   Zennaro, M ^a  

^a UNIVERSITY OF TRIESTE   (Italy)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

Subject Classifications: AMS(MOS): 65L20, CR: G1.7

Indexed keywords

EID: 0001442307     PISSN: 0029599X     EISSN: 09453245     Source Type: Journal    
DOI: 10.1007/BF01395814     Document Type: Article

References (20)

1. On the asymptotic behavior of the solution of a differential difference equation
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4. A first order method for differential equations of neutral type
5. Numerical methods for functional-differential equations
6. Euler-Verfahren für neutrale Funktional-Differentialgleichungen
7. One-step methods for the numerical solution of Volterra functional-differential equations of neutral type
8. The numerical solution of Volterra functional-differential equations of neutral type
9. Adams methods for neutral functional-differential equations
10. One-step methods of any order for neutral functional-differential equations
11. Quasilinear multistep methods and variable-step predictor-corrector methods for neutral functional-differential equations
12. On the Cauchy problem for differential-delay equations in a Banach space
13. Spline approximations for neutral functional-differential equations
14. Existence, uniqueness, and stability of solutions of systems of nonlinear difference-differential equations
15. Méthode d'intégration numérique des équations intégrales et intégro-différentielles du type Volterra de seconde expéce. Formules de Runge-Kutta
16. Natural continous extensions of Runge-Kutta methods
17. P-stability properties of Runge-Kutta methods for delay-differetial equations
18. A modification of finite difference methods for integrating ordinary differential equations with nonsmooth solutions