A new hybrid two-step method with vanished phase-lag and its first and second derivatives for the numerical solution of the Schrödinger equation and related problems

DOI10.1007/S10910-012-0008-8zbMath1257.81019OpenAlexW2078847556MaRDI QIDQ445435

Ibraheem Alolyan, Theodore E. Simos

Publication date: 24 August 2012

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-012-0008-8

zbMATH Keywords

Schrödinger equationphase-lagnumerical solutionmultistep methodshybrid methodsderivatives of the phase-laginterval of periodicityphase-fitted\(P\)-stability

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Software, source code, etc. for problems pertaining to quantum theory (81-04)

Related Items (8)

A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation ⋮ High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation ⋮ New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. I: construction and theoretical analysis ⋮ New optimized explicit modified RKN methods for the numerical solution of the Schrödinger equation ⋮ A new optimized Runge-Kutta pair for the numerical solution of the radial Schrödinger equation ⋮ A new modified embedded 5(4) pair of explicit Runge-Kutta methods for the numerical solution of the Schrödinger equation ⋮ An optimized Runge-Kutta method for the numerical solution of the radial Schrödinger equation ⋮ Algorithm for the development of families of numerical methods based on phase-lag Taylor series

Uses Software

• pythNon

Cites Work

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