Bulletin of the American Mathematical Society

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Book Information:

Author: Bertrand Mercier
Title: An introduction to the numerical analysis of spectral methods
Additional book information: Lecture Notes in Phys., Springer-Verlag, Berlin, New York, 1989, 154 pp., $23.30. ISBN 3-540-51106-7.

Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, and Thomas A. Zang, Spectral methods in fluid dynamics, Springer Series in Computational Physics, Springer-Verlag, New York, 1988. MR 917480, DOI 10.1007/978-3-642-84108-8

Wei Cai, David Gottlieb, and Chi-Wang Shu, Essentially nonoscillatory spectral Fourier methods for shock wave calculations, Math. Comp. 52 (1989), no. 186, 389–410. MR 955749, DOI 10.1090/S0025-5718-1989-0955749-2

Yvon Maday and Eitan Tadmor, Analysis of the spectral vanishing viscosity method for periodic conservation laws, SIAM J. Numer. Anal. 26 (1989), no. 4, 854–870. MR 1005513, DOI 10.1137/0726047

1.

C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral methods in fluid dynamics, Springer-Verlag, New York, 1987. MR 0917480

2.

W. Cai, D. Gottlieb, and C-W. Shu, Essentially nonoscillatory spectral Fourier methods for shock wave calculations, Math. Comp. 52 (1989), 389-410. MR 955749

3.

Y. Maday and E. Tadmor, Analysis of the spectral vanishing viscosity method for periodic conservation laws, SIAM J. Numer. Anal. 26 (1989), 854-870. MR 1005513