@Article{NMTMA-12-906,
author = {Gendai Gu, Sheng An and Meiling Zhao},
title = {The Cubic Spline Rule for the Hadamard Finite-Part Integral on an Interval},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2019},
volume = {12},
number = {3},
pages = {906--922},
abstract = {<p style="text-align: justify;">We propose a cubic spline rule for the calculation of the Hadamard finite-part
integral on an interval. The error estimate is presented in theory, and the superconvergence result of the cubic spline rule for Hadamard finite-part integral is derived. When
the singular point coincides with a prior known point, the convergence rate is one order
higher than what is globally possible. Numerical experiments are given to demonstrate
the efficiency of the theoretical analysis.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2018-0060},
url = {http://global-sci.org/intro/article_detail/nmtma/13136.html}
}