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Fast evaluation of exact transparent boundary
condition for one-dimensional cubic nonlinear Schröodinger equation |
| Chunxiong ZHENG, |
| Department of Mathematical
Sciences, Tsinghua University, Beijing 100084, China; |
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Abstract Fast evaluation of the exact transparent boundary condition for the one-dimensional cubic nonlinear Schrödinger equation is considered in this paper. In [J. Comput.Math., 2007, 25(6): 730―745], the author proposed a fast evaluation method for the half-order time derivative operator. In this paper, we apply this method for the exact transparent boundary condition for the one-dimensional cubic nonlinear Schrödinger equation. Numerical tests demonstrate the effectiveness of the proposed method.
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| Keywords
Schrödinger equation
transparent boundary condition
fast evaluation
unbounded domain
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Issue Date: 05 September 2010
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