Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation
نویسندگان
چکیده
منابع مشابه
Discrete absorbing boundary conditions for Schröinger-type equations. Practical implementation
Recently, some absorbing boundary conditions for Schrödingertype 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 a...
متن کاملDiscrete Absorbing Boundary Conditions for Schrödinger-type Equations. Practical Implementation
Recently, some absorbing boundary conditions for Schrödingertype 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 a...
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A local time-splitting method (LTSM) is developed to design absorbing boundary conditions for numerical solutions of time-dependent nonlinear Schrödinger equations associated with open boundaries. These boundary conditions are significant for numerical simulations of propagations of nonlinear waves in physical applications, such as nonlinear fiber optics and Bose-Einstein condensations. Numeric...
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This paper addresses the construction of different families of absorbing boundary conditions for the oneand two-dimensional Schrödinger equation with a general variable nonlinear potential. Various semi-discrete time schemes are built for the associated initial boundary value problems. Finally, some numerical simulations give a comparison of the various absorbing boundary conditions and associa...
متن کاملAbsorbing Boundary Conditions for the Schrödinger Equation
A large number of differential equation problems which admit traveling waves are usually defined on very large or infinite domains. To numerically solve these problems on smaller subdomains of the original domain, artificial boundary conditions must be defined for these subdomains. One type of artificial boundary condition which can minimize the size of such subdomains is the absorbing boundary...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2003
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-03-01548-5