A Runge-Kutta type implicit high algebraic order two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of coupled differential equations arising from the Schrödinger equation

DOI10.1007/s10910-015-0484-8zbMath1318.65039OpenAlexW2121801761WikidataQ115382711 ScholiaQ115382711MaRDI QIDQ2353094

Kenan Mu, Theodore E. Simos

Publication date: 7 July 2015

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

Full work available at URL: https://doi.org/10.1007/s10910-015-0484-8

zbMATH Keywords

stabilitynumerical examplesSchrödinger equationRunge-Kutta methodphase-lagmultistep methodstruncation errorderivatives of the phase-laginterval of periodicityphase-fitted

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Nonlinear ordinary differential equations and systems (34A34) 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)

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