Error control for time-splitting spectral approximations of the semiclassical Schrodinger equation

Irene Kyza, Charalambos Makridakis, Michael Plexousakis

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    7 Citations (Scopus)

    Abstract

    We prove a posteriori error estimates of optimal order in the L(infinity)(L(2))-norm for time-splitting spectral methods applied to the linear Schrodinger equation in the semiclassical regime. The a posteriori error estimates are obtained by considering an appropriate extension in time of the numerical schemes and using energy techniques. Numerical experiments are presented that confirm our theoretical results.

    Original languageEnglish
    Pages (from-to)416-441
    Number of pages26
    JournalIMA Journal of Numerical Analysis
    Volume31
    Issue number2
    DOIs
    Publication statusPublished - Apr 2011

    Keywords

    • a posteriori estimates
    • time-splitting spectral methods
    • Schrodinger equation

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