A modified chebyshev pseudospectral method with an O(n−1) time step restriction

Journal of Computational Physics

Volumn 104, Issue 2, 1993, Pages 457-469

  Kosloff, Dan ^a   Tal Ezer, Hillel ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000017843     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1993.1044     Document Type: Article

References (14)

1. A. Bayliss, K. E. Jordan, B. J. LeMesurier, and E. Turkel, Bull. Am. Seismol. Soc. 6 (4), 1115 (1986).
2. A. Bayliss, D. Gottlieb, B. J. Matkowsky, and M. Minkoff, ICASE Report No. 87-67, NASA Langley Research Center, Hampton, VA 23665, 1987 (unpublished).
3. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, Berlin/Heidelberg/New York, 1987).
4. M. Dubiner, J. Sci. Comput. 2, 3 (1987).
5. D. Gottlieb and S. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications, CBMS-NSF Regional Conference Series in Applied Mathematics (SIAM, Philadelphia, 1977).
6. D. Gottlieb and E. Turkel, ICASE Report No. 172241, NASA Langley Research Center, Hampton, VA 23665, 1983 (unpublished).
7. R. Kosloff and D. Kosloff, J. Comput. Phys. 63, 363 (1986).
8. A. I. Markushevich, Theory of Functions of a Complex Variable (Chelsea, New York, 1977).
9. A. Solomonnff and E. Turkel, Comput. Phys. 81, 239 (1989).
10. H. Tal-Ezer, J. Comput. Phys. 67, 145 (1986).
11. H. Tal-Ezer, D. Kosloff, and Z. Koren, Geophys. Prospect. 35 (5), 479 (1987).
12. L. N. Trefethen and M. R. Trummer, SIAM J. Numer. Anal. 24, 1008 (1987).
13. L. N. Trefethen, “Lax-Stability vs. Eigenvalues Stability of Spectral Methods, ” in Numerical Methods for Fluid Dynamics III, edited by K. W. Morton and M, J. Baines (Clarendon Press, Oxford, 1988).
14. J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain (Am. Math. Soc., Providence, RI, 1956).