Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation
type: Item
instance of: scholarly article
title: Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation
zbMATH Open document ID: 1063.65067
author: D. P. Sakas
author: T. E. Simos
published in: Journal of Computational and Applied Mathematics
publication date: 2005-02-23T00:00:00Z
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 2137423
zbMATH Keywords: Multiderivative methods
zbMATH Keywords: Phase-lag
zbMATH Keywords: Dispersion
zbMATH Keywords: Stability
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Numerical examples
MaRDI profile type: Publication
full work available at URL: j.cam.2004.06.013
OpenAlex ID: W2003599516
cites work: New P-stable eighth algebraic order exponentially-fitted methods for the numerical integration of the Schrödinger equation
cites work: A generator and an optimized generator of high-order hybrid explicit methods for the numerical solution of the Schrödinger equation. I: Development of the basic method
cites work: Q5950903
cites work: Embedded eighth order methods for the numerical solution of the Schrödinger equation
cites work: Practical points concerning the solution of the Schrödinger equation
cites work: Numerov made explicit has better stability
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: Numerical Methods for y″ =f(x, y) via Rational Approximations for the Cosine
cites work: Q4880423
cites work: An Improved Eigenvalue Corrector Formula for Solving the Schrodinger Equation for Central Fields
cites work: High-Order Embedded Runge-Kutta-Nystrom Formulae
cites work: Q4056354
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: Q4784585
cites work: Symmetric Multistip Methods for Periodic Initial Value Problems
cites work: Q5569399
cites work: Q3721711
cites work: Eighth order methods with minimal phase-lag for accurate computations for the elastic scattering phase-shift problem
cites work: Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations
cites work: A family of \(P\)-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation
cites work: A new explicit Bessel and Neumann fitted eighth algebraic order method for the numerical solution of the Schrödinger equation
cites work: A family of trigonometrically-fitted symmetric methods for the efficient solution of the Schrödinger equation and related problems
cites work: Q4830177
cites work: A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation
cites work: Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation
cites work: On finite difference methods for the solution of the Schrödinger equation
cites work: Q4800131
cites work: Symplectic methods for the numerical solution of the radial Schrödinger equation
cites work: A family of P-stable eighth algebraic order methods with exponential fitting facilities
cites work: Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation
DOI: 10.1016/J.CAM.2004.06.013
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description: scientific article; zbMATH DE number 2137423