A new eight algebraic order embedded explicit six-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation

DOI10.1007/s10910-016-0645-4zbMath1349.65209OpenAlexW2412081142MaRDI QIDQ338822

Ibraheem Alolyan, Theodore E. Simos

Publication date: 7 November 2016

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

Full work available at URL: https://doi.org/10.1007/s10910-016-0645-4

zbMATH Keywords

Schrödinger equationphase-lagP-stabilitymultistep methodsexplicit methodsderivatives of the phase-laginterval of periodicitymultistage methodsphase-fitted

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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