Numerical Solution of the High Frequency Asymptotic Expansion for the Scalar Wave Equation

Journal of Computational Physics

Volumn 120, Issue 1, 1995, Pages 145-155

  Fatemi, E ^a   Engquist, B ^a   Osher, S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000647149     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1006/jcph.1995.1154     Document Type: Article

References (17)

1. G. Avila and J. B. Keller, Commun. Pure Appl. Math. 16(1963), 363-381.
2. M. Bom and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Elmsford, NY, 1989).
3. M. Crandall and P. Lions, Trans. Amer. Math. Soc. 277 (1983), 1-42.
4. E. Harabetian, Trans. Amer. Math. Soc. 337(1), 59 (1993)
5. J. B. Keller, Calculus of Variations and Its Applications (McGraw-Hill, New York, 1958), p. 27.
6. J. B. Keller, R. Lewis, and B. Seckler, Commun. Pure Appl. Math. 9 207 (1965).
7. S. N. Kruzkov, Math. USSR-Sb. 27, 406 (1975).
8. P. D. Lax, Duke Math. J. 24, 627 (1957).
9. D. Ludwig, Commun. Pure Appl. Math. 19, 215 (1966).
10. R. Luneburg, Mathematical Theory of Optics (Univ. of California Press, Berkeley, 1964).
11. C. Morawetz and D. Ludwig, Commun. Pure Appl. Math. 21, 187 (1968).
12. T. J. Moser, Geophysics 56, 59 (1991).
13. P. Podvin and I. Lecomte, Geophys. J. Int. 105, 271 (1991).
14. S. Osher and C-W Shu, SIAM J. Numer. Analy. 28, 907 (1991).
15. J. Van Trier and W. W. Symes, Geophysics 56, 478 (1991).
16. J. Vidale, Bull. Seismol. Soc. Amer. 78, 2062.
17. J. Vidale, Finite difference calculation of traveltimes in three dimensions, Geophysics 55, 521 (1990).