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Volume 26, Issue 4
On Non-Isotropic Jacobi Pseudospectral Method

Benyu Guo & Keji Zhang

J. Comp. Math., 26 (2008), pp. 511-535.

Published online: 2008-08

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  • Abstract

In this paper, a non-isotropic Jacobi pseudospectral method is proposed and its applications are considered. Some results on the multi-dimensional Jacobi-Gauss type interpolation and the related Bernstein-Jackson type inequalities are established, which play an important role in pseudospectral method. The pseudospectral method is applied to a twodimensional singular problem and a problem on axisymmetric domain. The convergence of proposed schemes is established. Numerical results demonstrate the efficiency of the proposed method.

  • Keywords

Jacobi pseudospectral method in multiple dimensions, Jacobi-Gauss type interpolation, Bernstein-Jackson type inequalities, Singular problem, Problem on axisymmetric domain.

  • AMS Subject Headings

65N35, 41A10, 41A63.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-511, author = {Benyu Guo and Keji Zhang}, title = {On Non-Isotropic Jacobi Pseudospectral Method}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {4}, pages = {511--535}, abstract = {

In this paper, a non-isotropic Jacobi pseudospectral method is proposed and its applications are considered. Some results on the multi-dimensional Jacobi-Gauss type interpolation and the related Bernstein-Jackson type inequalities are established, which play an important role in pseudospectral method. The pseudospectral method is applied to a twodimensional singular problem and a problem on axisymmetric domain. The convergence of proposed schemes is established. Numerical results demonstrate the efficiency of the proposed method.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8640.html} }
TY - JOUR T1 - On Non-Isotropic Jacobi Pseudospectral Method AU - Benyu Guo & Keji Zhang JO - Journal of Computational Mathematics VL - 4 SP - 511 EP - 535 PY - 2008 DA - 2008/08 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8640.html KW - Jacobi pseudospectral method in multiple dimensions, Jacobi-Gauss type interpolation, Bernstein-Jackson type inequalities, Singular problem, Problem on axisymmetric domain. AB -

In this paper, a non-isotropic Jacobi pseudospectral method is proposed and its applications are considered. Some results on the multi-dimensional Jacobi-Gauss type interpolation and the related Bernstein-Jackson type inequalities are established, which play an important role in pseudospectral method. The pseudospectral method is applied to a twodimensional singular problem and a problem on axisymmetric domain. The convergence of proposed schemes is established. Numerical results demonstrate the efficiency of the proposed method.

Benyu Guo and Keji Zhang. (2008). On Non-Isotropic Jacobi Pseudospectral Method. Journal of Computational Mathematics. 26 (4). 511-535. doi:
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