Paper title: Two-dimensional Spectral Approximation
DOI: https://doi.org/10.4316/JACSM.201702003
Published in: Issue 2, (Vol. 11) / 2017Download
Publishing date: 2017-10-13
Pages: 21-25
Author(s): ISMAHENE Sehili, ZERROUG Abdelhamid
Abstract. In this article, we propose a two-dimensional polynomial basis which extends Legendre series approximation to bivariate functions. We also present a theoretical study of the stability and the error estimation of the Tau spectral method in the constructed basis
Keywords: Two-dimensional Basis, Rodrigues Construction, Error Estimation, Stability
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