Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability

We propose a way to efficiently treat the well-known transparent boundary conditions for the Schrödinger equation. Our approach is based on two ideas: to write out a discrete transparent boundary condition (DTBC) using the Crank-Nicolson finite difference scheme for the governing equation, and to ap...

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Veröffentlicht in:	Communications in mathematical sciences 2003, Vol.1 (3), p.501-556
Hauptverfasser:	Arnold, Anton, Ehrhardt, Matthias, Sofronov, Ivan
Format:	Artikel
Sprache:	eng
Schlagworte:	35Q40 45K05 65M12 discrete convolution finite difference schemes Padé approximations Schrödinger equation sum of exponentials transparent boundary conditions
Online-Zugang:	Volltext
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