Year: 2015
Author: Yujian Jiao, Sheng Chen, Benyu Guo
Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 222–249
Abstract
Non-isotropic Jacobi orthogonal approximation and Jacobi-Gauss type interpolation in three dimensions are investigated. The basic approximation results are established, which serve as the mathematical foundation of spectral and pseudospectral methods for singular problems, as well as problems defined on axisymmetric domains and some unbounded domains. The spectral and pseudospectral schemes are provided for two model problems. Their spectral accuracy is proved. Numerical results demonstrate the high efficiency of suggested algorithms.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v48n3.15.02
Journal of Mathematical Study, Vol. 48 (2015), Iss. 3 : pp. 222–249
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Jacobi spectral and pseudospectral methods in three dimensions singular problems.