An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime

DOI10.1007/s10543-010-0282-4zbMath1205.65250OpenAlexW2051611580MaRDI QIDQ616163

Mechthild Thalhammer, Stéphane Descombes

Publication date: 7 January 2011

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-010-0282-4

zbMATH Keywords

convergencenumerical examplesevolutionary equationserror estimateexponential operator splitting methodstime-dependent Schrödinger equationsfirst-order Lie splittingfourth-order Yoshida splittinglocal error representationparabolic initial-boundary value problemssecond-order Strang splitting

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (18)

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