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- W4289121503 abstract "This paper is concerned with the numerical integration in time of nonlinear Schrodinger equations using different methods preserving the energy or a discrete analog of it. The Crank-Nicolson method is a well known method of order 2 but is fully implicit and one may prefer a linearly implicit method like the relaxation method introduced in [10] for the cubic nonlinear Schr{o}dinger equation. This method is also an energy preserving method and numerical simulations have shown that its order is 2. In this paper we give a rigorous proof of the order of this relaxation method and propose a generalized version that allows to deal with general power law nonlinearites. Numerical simulations for different physical models show the efficiency of these methods." @default.
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- W4289121503 date "2018-12-12" @default.
- W4289121503 modified "2023-09-27" @default.
- W4289121503 title "Energy preserving methods for nonlinear Schrodinger equations" @default.
- W4289121503 doi "https://doi.org/10.48550/arxiv.1812.04890" @default.
- W4289121503 hasPublicationYear "2018" @default.
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