Strong order of convergence of a semidiscrete scheme for the stochastic Manakov equation
نویسنده
چکیده
It is well accepted by physicists that the Manakov PMD equation is a good model to describe the evolution of nonlinear electric elds in optical bers with randomly varying birefringence. In the regime of the di usion approximation theory, an e ective asymptotic dynamics has recently been obtained to describe this evolution. This equation is called the stochastic Manakov equation. In this article, we propose a semidiscrete version of a Crank Nicolson scheme for this limit equation and we analyze the strong error. Allowing su cient regularity of the initial data, we prove that the numerical scheme has strong order 1/2.
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