New open modified trigonometrically-fitted Newton-Cotes type multilayer symplectic integrators for the numerical solution of the Schrödinger equation

DOI10.1007/s10910-011-9924-2zbMath1310.65158OpenAlexW1972514157MaRDI QIDQ427440

Ibraheem Alolyan, Theodore E. Simos

Publication date: 13 June 2012

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

Full work available at URL: https://doi.org/10.1007/s10910-011-9924-2

zbMATH Keywords

algorithmnumerical examplemultistep methodssymplectic integratorsradial Schrödinger equationenergy preservationtrigonometric fittingopen Newton-Cotes differential methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (4)

High order four-step hybrid method with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation ⋮ A strategy for selecting the frequency in trigonometrically-fitted methods based on the minimization of the local truncation errors and the total energy error ⋮ Derivative-based trapezoid rule for the Riemann-Stieltjes integral ⋮ Algorithm for the development of families of numerical methods based on phase-lag Taylor series

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