Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type - Archive ouverte HAL
Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2017

Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type

Résumé

The convergence behaviour of multi-revolution composition methods combined with time-splitting methods is analysed for highly oscillatory linear differential equations of Schrödinger type. Numerical experiments illustrate and complement the theoretical investigations. Mathematics Subject Classification. 34K33, 34G10, 35Q41, 65M12, 65N15.
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Dates et versions

hal-01636323 , version 1 (16-11-2017)

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Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang. Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type. ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (5), pp.1859 - 1882. ⟨10.1051/m2an/2017010⟩. ⟨hal-01636323⟩
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