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.
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© 1988 Springer-Verlag Berlin Heidelberg
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Canuto, C., Hussaini, M.Y., Quarteroni, A., Zang, T.A. (1988). Spectral Approximation. In: Spectral Methods in Fluid Dynamics. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84108-8_2
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DOI: https://doi.org/10.1007/978-3-642-84108-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52205-8
Online ISBN: 978-3-642-84108-8
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