𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A modified phase-fitted and amplification-fitted Runge-Kutta-Nyström method for the numerical solution of the radial Schrödinger equation

✍ Scribed by D. F. Papadopoulos; Z. A. Anastassi; T. E. Simos

Publisher
Springer-Verlag
Year
2010
Tongue
English
Weight
185 KB
Volume
16
Category
Article
ISSN
1610-2940

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

A symplectic exponentially fitted modifi
A symplectic exponentially fitted modified Runge–Kutta–Nyström method for the numerical integration of orbital problems
✍ Hans Van de Vyver 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 244 KB

A symplectic exponentially fitted modified Runge-Kutta-Nystro ¨m method is derived in this paper. It is a two-stage second-order method with FSAL-property. An application to some well known orbital problems shows the properties of the developed method.

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