A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
โ Scribed by K. J. In 't Hout
- Publisher
- Springer Netherlands
- Year
- 1992
- Tongue
- English
- Weight
- 856 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0006-3835
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๐ SIMILAR VOLUMES
By using the Kreiss resolvent condition we establish upper bounds for the growth of errors in Runge-Kutta schemes for the numerical solution of delay differential equations. We consider application of such a scheme to the well-known linear test equation Z (t) = ฮปZ(t) + ยตZ(tฯ ), and prove that at any
This paper deals with convergence and stability of exponential Runge-Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is provide
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
Stability of IMEX (implicit-explicit) Runge-Kutta methods applied to delay differential equations (DDEs) is studied on the basis of the scalar test equation du/dt = u(t) + u(t -), where is a constant delay and , are complex parameters. More specifically, P-stability regions of the methods are define