𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On using explicit Runge–Kutta–Nyström methods for the treatment of retarded differential equations with periodic solutions

✍ Scribed by G. Papageorgiou; I.Th. Famelis

Book ID
108396119
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
120 KB
Volume
102
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Runge-Kutta(-Nyström) methods for ODEs w
Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
✍ B. Paternoster 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 791 KB

We consider the construction of Runge-Kutta(-Nyström) methods for ordinary differential equations whose solutions are known to be periodic. We assume that the frequency w tan be estimated in advance. The resulting methods depend on the Parameter v = wh, where h is the stepsize. Using the linear Stag

Exponentially-fitted Runge-Kutta-Nyström
Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions
✍ T.E. Simos 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 545 KB

new approach for constructing efficient RungeKutta-Nystrom methods is introduced in this paper. Based on this new approach a new exponentially-fitted Runge-KuttaNystrGm fourth-algebraic-order method is obtained for the numerical solution of initial-value problems with oscillating solutions. The new

Stability of Runge–Kutta methods for the
Stability of Runge–Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments
✍ W.J. Lv; Z.W. Yang; M.Z. Liu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 640 KB

This paper deals with the numerical properties of Runge-Kutta methods for the solution of u (t) = au(t) + a 0 u([t + 1 2 ]). It is shown that the Runge-Kutta method can preserve the convergence order. The necessary and sufficient conditions under which the analytical stability region is contained in