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- W3207433063 abstract "In this paper, we consider the numerical solution of the continuous disordered nonlinear Schrödinger 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.
- W3207433063 created "2021-10-25" @default.
- W3207433063 creator A5009090425 @default.
- W3207433063 date "2021-10-07" @default.
- W3207433063 modified "2023-09-24" @default.
- W3207433063 title "Numerical Integrators for Continuous Disordered Nonlinear Schrödinger Equation" @default.
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- W3207433063 doi "https://doi.org/10.1007/s10915-021-01653-2" @default.
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