Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation

DOI10.1007/s10910-017-0738-8zbMath1422.65111OpenAlexW2594828534MaRDI QIDQ2399221

Dmitriy B. Berg, Theodore E. Simos

Publication date: 22 August 2017

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

Full work available at URL: https://doi.org/10.1007/s10910-017-0738-8

zbMATH Keywords

Schrödinger equationphase-lagmultistep methodsderivatives of the phase-laginterval of periodicitymultistage methodsphase-fitted

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (10)

New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions ⋮ A new six-step algorithm with improved properties for the numerical solution of second order initial and/or boundary value problems ⋮ A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions ⋮ Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation ⋮ An efficient six-step method for the solution of the Schrödinger equation ⋮ New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems ⋮ A multistep method with optimal properties for second order differential equations ⋮ New four-stages symmetric six-step method with improved phase properties for second order problems with periodical and/or oscillating solutions ⋮ A new multistep finite difference pair for the Schrödinger equation and related problems ⋮ Algorithm for the development of families of numerical methods based on phase-lag Taylor series

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Cites Work

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