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

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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https://hal.univ-lorraine.fr/hal-02314915
Contributor : Renaud Marty <>
Submitted on : Monday, October 14, 2019 - 9:49:06 AM
Last modification on : Tuesday, October 15, 2019 - 1:21:28 AM

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

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