Error Analysis of High-order Splitting Methods for Nonlinear Evolutionary Schrödinger Equations and Application to the Mctdhf Equations in Electron Dynamics

Abstract

In this work, the error behaviour of high-order exponential operator splitting methods for the time integration of nonlinear evolutionary Schrödinger equations is investigated. The theoretical analysis utilises the framework of abstract evolution equations on Banach spaces and the formal calculus of Lie derivatives. The general approach is substantiated on… (More)

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