Fast evaluation of exact transparent boundary
condition for one-dimensional cubic nonlinear Schr&#246;odinger equation

doi:10.1007/s11464-010-0058-9

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Front. Math. China ›› 2010, Vol. 5 ›› Issue (3) : 589-606. DOI: 10.1007/s11464-010-0058-9

Research articles

Fast evaluation of exact transparent boundary condition for one-dimensional cubic nonlinear Schröodinger equation

Chunxiong ZHENG,

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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.

Keywords

Schrödinger equation / transparent boundary condition / fast evaluation / unbounded domain

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Chunxiong ZHENG,. Fast evaluation of exact transparent boundary condition for one-dimensional cubic nonlinear Schröodinger equation. Front. Math. China, 2010, 5(3): 589‒606 https://doi.org/10.1007/s11464-010-0058-9