Efficient exponential splitting spectral methods for linear Schrödinger equation in the semiclassical regime

DOI10.1016/J.APNUM.2020.02.006zbMath1437.65153OpenAlexW3005749664WikidataQ115586651 ScholiaQ115586651MaRDI QIDQ1986145

Jiao Tang, Wan-Sheng Wang

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.02.006

zbMATH Keywords

error estimatessemiclassical regimetime-dependent Schrödinger equationspectral methodsexponential splittingtime-splitting methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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