A semi-lagrangian numerical method for geometric optics type problems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software
Link
http://link.springer.com/content/pdf/10.1007/s10543-006-0081-0.pdf
Reference12 articles.
1. V. I. Arnol’d, Catastrophe theory,Springer, Berlin–Heidelberg, 1992.
2. V. I. Arnol’d, S. M. Gusein-Zade, and A. N. Varchenko, Singularities of Differential Maps, Birkhäuser, Boston, 1986.
3. J.-D. Benamou, An introduction to Eulerian geometric optics (1992–2002), J. Sci. Comput., 19 (2003), pp. 63–94.
4. J.-D. Benamou, Direct solution of multi-valued phase-space solutions for Hamilton–Jacobi equations, Commun. Pure Appl. Math., 52 (1999), pp. 1443–1475.
5. J.-D. Benamou, O. Lafitte, R. Sentis, and I. Solliec, A geometric optics method for high frequency electromagnetic fields computations near fold caustics – Part I, J. Comput. Appl. Math., 156 (2003), pp. 93–125.
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