𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Continuous Runge-Kutta methods for neutral Volterra integro-differential equations with delay

✍ Scribed by W.H. Enright; Min Hu

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
956 KB
Volume
24
Category
Article
ISSN
0168-9274

No coin nor oath required. For personal study only.

✦ Synopsis

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 systems. o 1997 Elsevier Science B.V.

📜 SIMILAR VOLUMES

Contractivity of continuous Runge-Kutta
Contractivity of continuous Runge-Kutta methods for delay differential equations
✍ A. Bellen 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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

Nonlinear stability of Runge–Kutta metho
Nonlinear stability of Runge–Kutta methods for neutral delay differential equations
✍ Wan-Sheng Wang; Shou-Fu Li; Kai Su 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 277 KB

This paper deals with stability properties of Runge-Kutta methods for the initial value problem in nonlinear neutral delay differential equations The new concepts of GS(l)-stability, GAS(l)-stability and Weak GAS(l)-stability are introduced, and it is shown that (k, l)algebraically stable Runge-Kut

Exponential Runge–Kutta methods for dela
Exponential Runge–Kutta methods for delay differential equations
✍ Y. Xu; J.J. Zhao; Z.N. Sui 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 333 KB

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