Local error of a splitting scheme for a nonlinear Schrödinger-type equation with random dispersion - Université de Lorraine
Preprints, Working Papers, ... Year : 2019

Local error of a splitting scheme for a nonlinear Schrödinger-type equation with random dispersion

Renaud Marty
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Abstract

We study a Lie splitting scheme for a nonlinear Schrödinger-type equation with random dispersion. The main result is an approximation of the local error. Then we can deduce sharp order estimates, for instance in the case of a white noise dispersion.
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Dates and versions

hal-02314915 , version 1 (14-10-2019)

Identifiers

  • HAL Id : hal-02314915 , version 1

Cite

Renaud Marty. Local error of a splitting scheme for a nonlinear Schrödinger-type equation with random dispersion. 2019. ⟨hal-02314915⟩
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