Abstract
The prototype of spectral methods for the solution of differential problems is the well-known Fourier method which consists of representating the solution as a truncated series expansion, the unknowns being the expansion coefficients. The Fourier basis is appropriate for periodic problems. For nonperiodic problems, the Chebyshev or Legendre polynomial bases are commonly used, but other basis functions could be considered according to the problem under consideration.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media New York
About this chapter
Cite this chapter
Peyret, R. (2002). Introduction. In: Spectral Methods for Incompressible Viscous Flow. Applied Mathematical Sciences, vol 148. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6557-1_1
Download citation
DOI: https://doi.org/10.1007/978-1-4757-6557-1_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2913-6
Online ISBN: 978-1-4757-6557-1
eBook Packages: Springer Book Archive