A two-step method for the numerical solution of the radial Schrödinger equation
type: Item
instance of: scholarly article
title: A two-step method for the numerical solution of the radial Schrödinger equation
zbMATH Open document ID: 0834.65067
DOI: 10.1016/0898-1221(95)00016-R
author: Yanyan Li
publication date: 1996-04-10T00:00:00Z
review text: The paper is concerned with the numerical solution of the one-dimensional Schrödinger equation. A fourth-order implicit two-step scheme is constructed which provides a high-order phase lag and a large interval of periodicity. The method is a parametrized generalization of the ``usual'' fourth-order multipoint formula. The results are illustrated by numerical examples.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 779201
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: fourth-order implicit two-step scheme
zbMATH Keywords: phase lag
zbMATH Keywords: interval of periodicity
zbMATH Keywords: fourth-order multipoint formula
zbMATH Keywords: numerical examples
reviewed by: Michael Plum
MaRDI profile type: Publication
cites work: A one-step method for direct integration of structural dynamic equations
cites work: A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
cites work: An explicit sixth-order method with phase-lag of order eight for \(y''=f(t,y)\)
cites work: Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
cites work: An explicit almost \(P\)-stable two-step method with phase-lag of order infinity for the numerical integration of second-order periodic initial- value problems
cites work: A Numerov-type method for the numerical solution of the radial Schrödinger equation
cites work: Symmetric Multistip Methods for Periodic Initial Value Problems
cites work: Phase properties of high order, almost P-stable formulae
cites work: Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
cites work: Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations
cites work: An Improved Eigenvalue Corrector Formula for Solving the Schrodinger Equation for Central Fields
cites work: Practical points concerning the solution of the Schrödinger equation
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 779201