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- W4300583125 abstract "We study an explicit exponential scheme for the time discretisation of stochastic Schrodinger equations driven by additive or multiplicative Ito noise. The numerical scheme is shown to converge with strong order $1$ if the noise is additive and with strong order $1/2$ for multiplicative noise. In addition, if the noise is additive, we show that the exact solutions of our problems satisfy trace formulas for the expected mass, energy, and momentum (i.e., linear drifts in these quantities). Furthermore, we inspect the behaviour of the numerical solutions with respect to these trace formulas. Several numerical simulations are presented and confirm our theoretical results." @default.
- W4300583125 created "2022-10-03" @default.
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- W4300583125 date "2016-01-25" @default.
- W4300583125 modified "2023-09-30" @default.
- W4300583125 title "Exponential integrators for stochastic Schrodinger equations driven by Ito noise" @default.
- W4300583125 doi "https://doi.org/10.48550/arxiv.1601.06623" @default.
- W4300583125 hasPublicationYear "2016" @default.
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