✦ LIBER ✦

Computation of the eigenvalues of the Schrödinger equation by exponentially-fitted Runge–Kutta–Nyström methods

✍ Scribed by Z. Kalogiratou; Th. Monovasilis; T.E. Simos

Book ID: 108107512
Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 190 KB
Volume: 180
Category: Article
ISSN: 0010-4655
DOI: 10.1016/j.cpc.2008.09.001

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Exponential Runge–Kutta methods for the

Exponential Runge–Kutta methods for the Schrödinger equation

✍ Guillaume Dujardin 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 457 KB

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

Computation of the eigenvalues of the Sc

Computation of the eigenvalues of the Schrödinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge–Kutta methods

✍ Th. Monovasilis; Z. Kalogiratou; T.E. Simos 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 125 KB

A modified phase-fitted and amplificatio

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

✍ D. F. Papadopoulos; Z. A. Anastassi; T. E. Simos 📂 Article 📅 2010 🏛 Springer-Verlag 🌐 English ⚖ 185 KB

Exponentially fitted Runge–Kutta methods

Exponentially fitted Runge–Kutta methods for the numerical solution of the Schrödinger equation and related problems

✍ T.E. Simos 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 171 KB

Trigonometrically fitted Runge–Kutta met

Trigonometrically fitted Runge–Kutta methods for the numerical solution of the Schrödinger equation

✍ Z.A. Anastassi; T.E. Simos 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 151 KB