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Spectral collocation methods

Authors
Journal
Applied Numerical Mathematics
0168-9274
Publisher
Elsevier
Publication Date
Volume
5
Issue
3
Identifiers
DOI: 10.1016/0168-9274(89)90033-0
Disciplines
  • Mathematics
  • Physics

Abstract

Abstract This review covers the theory and application of spectral collocation methods. Section 1 describes the fundamentals, and summarizes results pertaining to spectral approximations of functions. Some stability and convergence results are presented for simple elliptic, parabolic and hyperbolic equations. Applications of these methods to fluid dynamics problems are discussed in Section 2.

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