Pseudospectral methods of solution of the Schrödinger equation
type: Item
instance of: scholarly article
title: Pseudospectral methods of solution of the Schrödinger equation
zbMATH Open document ID: 1217.81058
author: Joseph Q. W. Lo
author: Bernie D. Shizgal
publication date: 2011-07-21T00:00:00Z
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 5929889
zbMATH Keywords: pseudospectral
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Morse potential
zbMATH Keywords: Woods-Saxon potential
describes a project that uses: OPQ
MaRDI profile type: Publication
full work available at URL: s10910-007-9341-8
OpenAlex ID: W2010620504
cites work: A four-step exponentially fitted method for the numerical solution of the Schrödinger equation
cites work: Numerical solution of the two-dimensional time independent Schrödinger equation with Numerov-type methods
cites work: Construction of trigonometrically and exponentially fitted Runge--Kutta--Nyström methods for the numerical solution of the Schrödinger equation and related problems -- a method of 8th algebraic order
cites work: A family of exponentially-fitted Runge-Kutta methods with exponential order up to three for the numerical solution of the Schrödinger equation
cites work: Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation
cites work: An efficient Chebyshev-Lanczos method for obtaining eigensolutions of the Schrödinger equation on a grid
cites work: The quadrature discretization method (QDM) in the solution of the Schrödinger equation
cites work: A spectral solution of the Sturm-Liouville equation: Comparison of classical and nonclassical basis sets
cites work: Generalised meshes for quantum mechanical problems
cites work: The scaled Hermite--Weber basis still highly competitive
cites work: The Laguerre pseudospectral method for the reflection symmetric Hamiltonians on the real line
cites work: Q4039908
cites work: Spectral methods for incompressible viscous flow
cites work: A discrete ordinate method of solution of linear boundary value and eigenvalue problems
cites work: Spectral method based on nonclassical basis functions: The advection-diffusion equation.
cites work: Q3323133
cites work: Q4820343
cites work: The Fokker-Planck equation. Methods of solution and applications
cites work: A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation.
cites work: A Mathematica program for the two-step twelfth-order method with multi-derivative for the numerical solution of a one-dimensional Schrödinger equation
cites work: A new effective algorithm for the resonant state of a Schrödinger equation
cites work: Highly precise solutions of the one-dimensional Schrödinger equation with an arbitrary potential
cites work: Solution of the Schrödinger equation by a high order perturbation method based on a linear reference potential
DOI: 10.1007/S10910-007-9341-8
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 5929889