Approximation properties of a mapped Chebyshev method

Applied Numerical Mathematics

Volumn 32, Issue 2, 2000, Pages 119-136

  Abril Raymundo, M R ^a   Garcia Archilla B ^b  

^a UNIVERSITY OF VALLADOLID   (Spain)

^b UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); ERROR ANALYSIS;

COLLOCATION DERIVATIVES; MAPPED CHEBYSHEV TECHNIQUES;

CHEBYSHEV APPROXIMATION;

EID: 0033908352     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00017-3     Document Type: Article

References (7)

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3. [3] C. Canute, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics, Springer Series in Computational Physics, Springer, Berlin, 1988.
4. [4] W.S. Don, A. Solomonoff, Accuracy enhancement for higher derivatives using Chebyshev collocation and a mapping technique, SIAM J. Sci. Comput. 18 (1997) 1040-1055.
5. [5] D. Gottlieb, S.A. Orzag, Numerical Analysis of Spectral Methods: Theory and Applications, SIAM, Philadelphia, PA, 1981.
6. -1) time step restriction, J. Comput. Phys. 104 (1993) 457-469.
7. [7] L.N. Trefethen, M.R. Trummer, An instability phenomenon in spectral methods, SIAM J. Numer. Anal. 24 (1987) 1009-1023.