Showing papers by "Th. Monovasilis published in 2010"
TL;DR: In this paper, the Runge-Kutta-Nystrom (RKN) method was applied to the computation of the eigenvalues of the Schrodinger equation with different potentials such as the harmonic oscillator, doubly anharmonic oscillator and the exponential potential.
Abstract: In this work we construct new Runge-Kutta-Nystrom methods especially designed to integrate exactly the test equation y^''=-w^2y. We modify two existing methods: the Runge-Kutta-Nystrom methods of fifth and sixth order. We apply the new methods to the computation of the eigenvalues of the Schrodinger equation with different potentials such as the harmonic oscillator, the doubly anharmonic oscillator and the exponential potential.
151 citations
TL;DR: Two new symplectic methods are constructed of second and third order with fifth phase-lag order that are tested on the numerical integration of Hamiltonian problems and the Schrodinger equation.
82 citations
17 Sep 2010
TL;DR: In this article, the authors considered Symplectic Runge Kutta Nystrom (SRKN) methods with minimum phase lag and phase fitted SRKN methods are considered, and modified an existing SRKN method of Calvo and SanzSerna with five stages and fourth order.
Abstract: In this work we consider Symplectic Runge Kutta Nystrom (SRKN) methods with minimum phase‐lag. Also phase fitted SRKN methods are considered. We modify an existing SRKN method of Calvo and SanzSerna with five stages and fourth order.
2 citations