@Article{EAJAM-8-697,
author = {Yan Gao, Hui Feng, Hao Tian, Lili Ju and Xiaoping Zhang},
title = {Nodal-Type Newton-Cotes Rules for Fractional Hypersingular Integrals},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {8},
number = {4},
pages = {697--714},
abstract = {<p style="text-align: justify;">Nodal-type Newton-Cotes rules for fractional hypersingular integrals based
on the piecewise k-th order Newton interpolations are proposed. A general error estimate
is first derived on quasi-uniform meshes and then we show that the even-order
rules exhibit the superconvergence phenomenon — i.e. if the singular point is far away
from the endpoints then the accuracy of the method is one order higher than the general
estimate. Numerical experiments confirm the theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.270418.190818 },
url = {http://global-sci.org/intro/article_detail/eajam/12815.html}
}