TY - JOUR
T1 - Quadrature Formulas for Singular Integrals with Hilbert Kernel
AU - Jin-Yuan Du
JO - Journal of Computational Mathematics
VL - 3
SP - 205
EP - 225
PY - 1988
DA - 1988/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9511.html
KW - 
AB - <p style="text-align: justify;">In this paper, we first establish the quadrature formulae of proper integrals with weight by trigonometric interpolation. Then we use the method of separation of singularity to derive the quadrature formulae of corresponding singular integrals with Hilbert Kernel. The trigonometric precision, the estimate of the remainder and the convergence of each quadrature formula derived here are also established.</p>