TY - JOUR
T1 - Non-Isotropic Jacobi Spectral and Pseudospectral Methods in Three Dimensions
AU - Jiao , Yujian
AU - Chen , Sheng
AU - Guo , Benyu
JO - Journal of Mathematical Study
VL - 3
SP - 222
EP - 249
PY - 2015
DA - 2015/09
SN - 48
DO - http://doi.org/10.4208/jms.v48n3.15.02
UR - https://global-sci.org/intro/article_detail/jms/9922.html
KW - Jacobi spectral and pseudospectral methods in three dimensions, singular problems.
AB - <p style="text-align: justify;">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.</p>