Domain Decomposition Method and High-Order Absorbing Boundary Conditions for the Numerical Simulation of the Time Dependent Schrödinger Equation with Ionization and Recombination by Intense Electric Field

Author:

Antoine X.,Lorin E.,Bandrauk A. D.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference34 articles.

1. Alinhac, S., Gérard, P.: Pseudo-Differential Operators and the Nash–Moser Theorem, volume 82 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI (2007). Translated from the 1991 French original by Stephen S. Wilson

2. Antoine, X., Arnold, A., Besse, C., Ehrhardt, M., Schädle, A.: A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Commun. Comput. Phys. 4(4), 729–796 (2008)

3. Antoine, X., Bao, W., Besse, C.: Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations. Comput. Phys. Comm. 184(12), 2621–2633 (2013)

4. Antoine, X., Barucq, H., Bendali, A.: Bayliss–Turkel-like radiation conditions on surfaces of arbitrary shape. J. Math. Anal. Appl. 229(1), 184–211 (1999)

5. Antoine, X., Besse C.: Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. J. Math. Pures Appl. (9), 80(7), 701–738 (2001)

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