A new symmetric linear eight-step method with fifth trigonometric order for the efficient integration of the Schrödinger equation

DOI10.1016/J.AML.2011.03.035zbMath1217.65144OpenAlexW1993514284MaRDI QIDQ540317

Zacharias A. Anastassi

Publication date: 1 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.03.035

zbMATH Keywords

numerical examplesSchrödinger equationtrigonometric fittingsymmetric linear multistep methods

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems ⋮ A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems ⋮ High-order semi-implicit linear multistep LG scheme for a three species competition-diffusion system in two-dimensional spatial domain arising in ecology ⋮ Symplectic partitioned Runge-Kutta methods with the phase-lag property ⋮ A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation

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