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- W4296981844 abstract "In this paper we propose fast solution methods for the Cauchy problem for the multidimensional Schrodinger equation. Our approach is based on the approximation of the data by the basis functions introduced in the theory of approximate approximations. We obtain high-order approximations also in higher dimensions up to a small saturation error, which is negligible in computations, and we prove error estimates in mixed Lebesgue spaces for the inhomogeneous equation. The proposed method is very efficient in high dimensions if the densities allow separated representations. We illustrate the efficiency of the procedure on different examples, up to approximation order 6 and space dimension 200." @default.
- W4296981844 created "2022-09-25" @default.
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- W4296981844 date "2016-10-27" @default.
- W4296981844 modified "2023-10-16" @default.
- W4296981844 title "A fast solution method for time dependent multidimensional Schrodinger equations" @default.
- W4296981844 doi "https://doi.org/10.48550/arxiv.1610.08673" @default.
- W4296981844 hasPublicationYear "2016" @default.
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