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Continuous Volterra-Runge-Kutta methods for integral equations with pure delay

โœ Scribed by N. Baddour; H. Brunner


Publisher
Springer Vienna
Year
1993
Tongue
English
Weight
634 KB
Volume
50
Category
Article
ISSN
0010-485X

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๐Ÿ“œ SIMILAR VOLUMES


Continuous Runge-Kutta methods for neutr
โœ W.H. Enright; Min Hu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 956 KB

We investigate explicit and implicit continuous Runge-Kutta methods for solving neutral Volterra integrodifferential equations with delay. We consider the convergence of the iterative scheme required on each step and the convergence of the numerical solution to the true solution of the Volterra syst

Contractivity of continuous Runge-Kutta
โœ A. Bellen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 849 KB

In this paper the author investigates the stability of numerical methods for general delay differential equations of the type { y'(t) = j(t, y(t), y(a(t))), t 2 to, where a(t) < t and y(t) is a vector complex-valued function. Contractivity conditions are found for Runge-Kutta methods as applied to