A family of exponentially-fitted Runge-Kutta methods with exponential order up to three for the numerical solution of the Schrödinger equation

DOI10.1007/s10910-006-9071-3zbMath1125.81017OpenAlexW2008773096MaRDI QIDQ882599

Theodore E. Simos, Zacharias A. Anastassi

Publication date: 24 May 2007

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

Full work available at URL: https://doi.org/10.1007/s10910-006-9071-3

zbMATH Keywords

Schrödinger equationexponential-fittingexplicit methodsexponential orderRungeKuttatrigonometrical-fitting

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Computational methods for problems pertaining to quantum theory (81-08)

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