scientific article; zbMATH DE number 5213175
From MaRDI portal
Publication:5427431
zbMath1127.65050MaRDI QIDQ5427431
Marnix van Daele, Guido Vanden Berghe
Publication date: 20 November 2007
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
algorithmsnumerical examplesSchrödinger equationsexponential fittingoscillating problemsStörmer/Verlet methods
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)
Related Items (18)
A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solution ⋮ Two optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutions ⋮ A new methodology for the development of numerical methods for the numerical solution of the Schrödinger equation ⋮ A new methodology for the construction of numerical methods for the approximate solution of the Schrödinger equation ⋮ High order multistep methods with improved phase-lag characteristics for the integration of the Schrödinger equation ⋮ A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative ⋮ A new two-step hybrid method for the numerical solution of the Schrödinger equation ⋮ P-stability, trigonometric-fitting and the numerical solution of the radial Schrödinger equation ⋮ Computation of the eigenvalues of the Schrödinger equation by exponentially-fitted Runge-Kutta-Nyström methods ⋮ Phase-fitted discrete Lagrangian integrators ⋮ Discrete gradient algorithms of high order for one-dimensional systems ⋮ A hybrid method with phase-lag and derivatives equal to zero for the numerical integration of the Schrödinger equation ⋮ Two-step high order hybrid explicit method for the numerical solution of the Schrödinger equation ⋮ Closed Newton-Cotes trigonometrically-fitted formulae of high order for the numerical integration of the Schrödinger equation ⋮ High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation ⋮ A new Numerov-type method for the numerical solution of the Schrödinger equation ⋮ A family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problems ⋮ High order phase fitted multistep integrators for the Schrödinger equation with improved frequency tolerance
This page was built for publication: