Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation

Author:

Antoine X.,Besse C.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference21 articles.

1. Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation;Antoine;J. Math. Pures Appl.,2001

2. X. Antoine, C. Besse, V. Mouysset, Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions, submitted

3. Mathematical concept of open quantum boundary conditions;Arnold;Theory Stat. Phys.,2001

4. Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics;Arnold;J. Comput. Phys.,1998

5. Discrete transparent boundary conditions for the Schrödinger equation;Arnold;Revista di Mathematica della Universita di Parma,2001

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