Symplectic integrators for the numerical solution of the Schrödinger equation

By Z. Kalogiratou, Th. Monovasilis, T. E. Simos. 2003

150 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/050e88446861fd44a7a13861ada7b934ba838a33

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Electrical and Electronic Engineering

In Numerical Analysis

Citations in the corpus

High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation (2012, methodology): “– Symplectic integrators are studied in [54–80].”
A low computational cost eight algebraic order hybrid method with vanished phase-lag and its first, second, third and fourth derivatives for the approximate solution of the Schrödinger equation (2015, background): “Much research has been done the last decades on the estimation of the LTE for the numerical solution of systems of differential equations (see for example [1–56]).”
A family of explicit linear six-step methods with vanished phase-lag and its first derivative (2014, methodology): “(see for more details [1–121] and references therein).”
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 (2015, methodology): “The last decades many methodologies have been proposed in the literature for the estimation of the local truncation error (LTE) on the numerical solution of systems of differential equations (see for example [1–57]).”