Accession Number : ADP002980

Title :   Spectral Methods for Partial Differential Equations,

Corporate Author : NATIONAL AERONAUTICS AND SPACE ADMINISTRATION HAMPTON VA LANGLEY RESEARCH CENTER

Personal Author(s) : Hussaini,M. Y. ; Streett,C. L. ; Zang,T. A.

Report Date : FEB 1984

Pagination or Media Count : 43

Abstract : Origins of spectral methods, especially their relation to the Method of Weighted Residuals, are surveyed. Basic Fourier, Chebyshev, and Legendre spectral concepts are reviewed, and demonstrated through application to simple model problems. Both collocation and tau methods are considered. These techniques are then applied to a number of difficult, nonlinear problems of hyperbolic, parabolic, elliptic, and mixed type. Fluid-dynamical applications are emphasized.

Descriptors :   *Partial differential equations, Spectra, Residuals, Weighting functions, Nonlinear analysis, Fluid dynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE