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Spectral Approximation

  • Claudio Canuto
  • M. Yousuff Hussaini
  • Alfio Quarteroni
  • Thomas A. ZangJr.
Part of the Springer Series in Computational Physics book series (SCIENTCOMP)

Abstract

The expansion of a function u in terms of an infinite sequence of orthogonal functions \(\{ {\phi _k}\} ,u = \sum {_{k = - \infty }^\infty } {\hat u_k}{\phi _k},\) underlies many numerical methods of approximation. The accuracy of the approximations and the efficiency of their implementation influence decisively the domain of applicability of these methods in scientific computations.

Keywords

Fourier Series Fourier Coefficient Chebyshev Polynomial Trigonometric Polynomial Spectral Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Claudio Canuto
    • 1
  • M. Yousuff Hussaini
    • 2
  • Alfio Quarteroni
    • 3
  • Thomas A. ZangJr.
    • 4
  1. 1.Dipartimento di MatematicaPolitecnico di TorinoTorinoItaly
  2. 2.ICASE. Mail Stop 132CNASA Langley Research CenterHamptonUSA
  3. 3.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  4. 4.Mail Stop 159 Computational Sciences BranchNASA Langley Research CenterHamptonUSA

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