@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} }