A fast BDF2 Galerkin finite element method for the one-dimensional time-dependent Schrödinger equation with artificial boundary conditions

Author:

Xie Jiangming,Li MaojunORCID

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference40 articles.

1. A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations;Antoine;Commun. Comput. Phys.,2008

2. Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation;Antoine;J. Comput. Phys.,2003

3. Approximation, stability and fast calculation of non-local boundary conditions for the Schrödinger equation;Arnold;Commun. Math. Sci.,2003

4. On optimal finite-difference approximation of PML;Asvadurov;SIAM J. Numer. Anal.,2003

5. Implementation of transparent boundaries for numerical solution of the Schrödinger equation;Baskakov;Wave Motion,1991

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