Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 2 : pp. 113–130
Abstract
Approximations using the generalized Laguerre polynomials are investigated in this paper. Error estimates for various orthogonal projections are established. These estimates generalize and improve previously published results on the Laguerre approximations. As an example of applications, a mixed Laguerre-Fourier spectral method for the Helmholtz equation in an exterior domain is analyzed and implemented. The proposed method enjoys optimal error estimates, and with suitable basis functions, leads to a sparse and symmetric linear system.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8801
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 2 : pp. 113–130
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Generalized Laguerre polynomials Exterior problems Mixed Laguerre-Fourier spectral method.