High frequency wave packets for the Schrodinger equation and its numerical approximations
Marica A, Zuazua E (2011)
Publication Type: Journal article
Publication year: 2011
Journal
Book Volume: 349
Pages Range: 105-110
Journal Issue: 1-2
DOI: 10.1016/j.crma.2010.11.009
Abstract
We build Gaussian wave packets for the linear Schrodinger equation and its finite difference space semi-discretization and illustrate the lack of uniform dispersive properties of the numerical solutions as established in Ignat and Zuazua (2009) [6]. It is by now well known that bigrid algorithms provide filtering mechanisms allowing to recover the uniformity of the dispersive properties as the mesh size goes to zero. We analyze and illustrate numerically how these high frequency wave packets split and propagate under these bigrid filtering mechanisms, depending on how the fine grid/coarse grid filtering is implemented. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Authors with CRIS profile
Involved external institutions
Spain (ES)How to cite
APA:
Marica, A., & Zuazua, E. (2011). High frequency wave packets for the Schrodinger equation and its numerical approximations. Comptes Rendus Mathematique, 349(1-2), 105-110. https://dx.doi.org/10.1016/j.crma.2010.11.009
MLA:
Marica, Aurora, and Enrique Zuazua. "High frequency wave packets for the Schrodinger equation and its numerical approximations." Comptes Rendus Mathematique 349.1-2 (2011): 105-110.
BibTeX: Download