Frontiers of Mathematics in China >

2010 , Vol. 5 >Issue 3: 589 - 606

DOI: https://doi.org/10.1007/s11464-010-0058-9

Research articles

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

Expand
  • Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;

Published date: 05 Sep 2010

Fold

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.

Key words： Schrödinger equation; transparent boundary condition; fast evaluation; unbounded domain

Cite this article

Chunxiong ZHENG, . Fast evaluation of exact transparent boundary condition for one-dimensional cubic nonlinear Schröodinger equation[J]. Frontiers of Mathematics in China, 2010 , 5(3) : 589 -606 . DOI: 10.1007/s11464-010-0058-9

Options
Outlines

/

〈 〉