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 - <p style="text-align: justify;">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.</p>