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math.NA2008★ 53 cited
A unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations
Jiwei Zhang, Zhenli Xu, Xiaonan Wu
An efficient method is proposed for numerical solutions of nonlinear Schrödinger equations in an unbounded domain. Through approximating the kinetic energy term by a one-way equati…
math.NA2006★ 57 cited
Adaptive absorbing boundary conditions for Schrodinger-type equations: application to nonlinear and multi-dimensional problems
Zhenli Xu, Houde Han, Xiaonan Wu
We propose an adaptive approach in picking the wave-number parameter of absorbing boundary conditions for Schrödinger-type equations. Based on the Gabor transform which captures lo…