Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation |
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| Authors: | Isaí as Alonso-Mallo Nuria Reguera |
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| Affiliation: | Departamento de Matemática Aplicada y Computación, Universidad de Valladolid, Valladolid, Spain ; Departamento de Matemáticas y Computación, Universidad de Burgos, Burgos, Spain |
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| Abstract: | Recently, some absorbing boundary conditions for Schrödinger-type equations have been studied by Fevens, Jiang and Alonso-Mallo, and Reguera. These conditions make it possible to obtain a very high absorption at the boundary avoiding the nonlocality of transparent boundary conditions. However, the implementations used in the literature, where the boundary condition is chosen in a manual way in accordance with the solution or fixed independently of the solution, are not practical because of the small absorption. In this paper, a new practical adaptive implementation is developed that allows us to obtain automatically a very high absorption. |
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| Keywords: | Schr\"odinger equation transparent boundary conditions absorbing boundary conditions |
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