𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new family of Runge–Kutta type methods for the numerical integration of perturbed oscillators

✍ Scribed by Ana B. González; Pablo Martín; José M. Farto

Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
82 KB
Volume
82
Category
Article
ISSN
0029-599X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

New modified Runge–Kutta–Nyström methods
New modified Runge–Kutta–Nyström methods for the numerical integration of the Schrödinger equation
✍ Z. Kalogiratou; Th. Monovasilis; T.E. Simos 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 276 KB

In this work we construct new Runge-Kutta-Nyström methods especially designed to integrate exactly the test equation y = -w 2 y. We modify two existing methods: the Runge-Kutta-Nyström methods of fifth and sixth order. We apply the new methods to the computation of the eigenvalues of the Schrödinger

An exponentially-fitted Runge-Kutta meth
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
✍ T.E. Simos 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 335 KB

An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems wi',h periodic or oscillating solutions is developed in this paper. Numerical and theoretical results obtained for several well known problems show the efficiency of the new method. (~