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- W3046551221 abstract "In this paper, we consider the numerical solution of the continuous disordered nonlinear Schrodinger equation, which contains a spatial random potential. We address the finite time accuracy order reduction issue of the usual numerical integrators on this problem, which is due to the presence of the random/rough potential. By using the recently proposed low-regularity integrator (LRI) from (33, SIAM J. Numer. Anal., 2019), we show how to integrate the potential term by losing two spatial derivatives. Convergence analysis is done to show that LRI has the second order accuracy in $L^2$-norm for potentials in $H^2$. Numerical experiments are done to verify this theoretical result. More numerical results are presented to investigate the accuracy of LRI compared with classical methods under rougher random potentials from applications." @default.
- W3046551221 created "2020-08-07" @default.
- W3046551221 creator A5009090425 @default.
- W3046551221 date "2020-07-30" @default.
- W3046551221 modified "2023-10-17" @default.
- W3046551221 title "Numerical integrators for continuous disordered nonlinear Schrodinger equation" @default.
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- W3046551221 doi "https://doi.org/10.48550/arxiv.2007.15809" @default.
- W3046551221 hasPublicationYear "2020" @default.
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