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
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Publication:2636429
DOI10.1007/s10910-017-0850-9zbMath1447.81114OpenAlexW2781741727MaRDI QIDQ2636429
Maxim A. Medvedev, Theodore E. Simos
Publication date: 5 June 2018
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-017-0850-9
Schrödinger equationphase-lagmultistep methodsderivatives of the phase-laginterval of periodicitymultistage methodsphase-fitted
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to quantum theory (81-08)
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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 ⋮ 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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