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Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation

Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation
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Year:    2011

Communications in Computational Physics, Vol. 10 (2011), Iss. 3 : pp. 742–766

Abstract

The paper is concerned with the numerical solution of Schrödinger equations on an unbounded spatial domain. High-order absorbing boundary conditions for one-dimensional domain are derived, and the stability of the reduced initial boundary value problem in the computational interval is proved by energy estimate. Then a second order finite difference scheme is proposed, and the convergence of the scheme is established as well. Finally, numerical examples are reported to confirm our error estimates of the numerical methods.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.280610.161110a

Communications in Computational Physics, Vol. 10 (2011), Iss. 3 : pp. 742–766

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    25

Keywords:   

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