NASA NTRS · 19850026037
A review of spectral methods
Abstract
An outline for spectral methods for partial differential equations is presented. The basic spectral algorithm is defined, collocation are emphasized and the main advantage of the method, the infinite order of accuracy in problems with smooth solutions are discussed. Examples of theoretical numerical analysis of spectral calculations are presented. An application of spectral methods to transonic flow is presented. The full potential transonic equation is among the best understood among nonlinear equations.
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Lustman, L.. 1984-12-01. A review of spectral methods. https://ntrs.nasa.gov/citations/19850026037
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