Absorbing Boundaries for the Nonlinear Schrödinger Equation
نویسنده
چکیده
We present a new algorithm, the Time Dependent Phase Space Filter (TDPSF) which is used to solve time dependent Nonlinear Schrodinger Equations (NLS). The algorithm consists of solving the NLS on a box with periodic boundary conditions (by any algorithm). Periodically in time, we decompose the solution into a family of coherent states. Those coherent states which are outgoing are deleted, while those which are not are kept, thus minimizing the problem of reflected (wrapped) waves. Numerical results are given, and rigorous error estimates are described.
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تاریخ انتشار 2008