Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation-Reference-Cited by-同舟云学术

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Propagation of One- and Two-Dimensional Discrete Waves Under Finite Difference Approximation

Published:2020-01-28 Issue:6 Volume:20 Page:1401-1438
ISSN:1615-3375
Container-title:Foundations of Computational Mathematics
language:en
Short-container-title:Found Comput Math

Author:

Biccari Umberto,Marica Aurora,Zuazua Enrique

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10208-020-09445-0.pdf

Reference46 articles.

1. G. Allaire. Dispersive limits in the homogenization of the wave equation. Ann. Fac. Sci. Toulouse Math., 12(4):415–431, 2003.

2. G. Allaire and A. Pjatnickiĭ. Homogenization of the Schrödinger equation and effective mass theorems. Commun. Math. Phys., 258(1):1–22, 2005.

3. C. Bardos, G. Lebeau, and J. Rauch. Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. SIAM J. Control Optim., 30(5):1024–1065, 1992.

4. L. Baudouin and S. Ervedoza. Convergence of an inverse problem for a 1-D discrete wave equation. SIAM J. Control Optim., 51(1):556–598, 2013.

5. L. Baudouin, S. Ervedoza, and A. Osses. Stability of an inverse problem for the discrete wave equation and convergence results. J. Math. Pures Appl., 103(6):1475–1522, 2015.

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