Error analysis of high-order splitting methods for nonlinear evolutionary Schrödinger equations and application to the MCTDHF equations in electron dynamics

DOI10.1051/m2an/2013067zbMath1311.65053OpenAlexW2050545584MaRDI QIDQ5397515

Mechthild Thalhammer, Christof Neuhauser, Othmar Koch

Publication date: 24 February 2014

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2013067

zbMATH Keywords

convergence nonlinear evolution equations high-order exponential operator splitting methods time-dependent nonlinear Schrödinger equations local error expansion multi-configuration time-dependent Hartree-Fock (MCTDHF) equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions to abstract evolution equations (65J08)

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