TY - JOUR
T1 - Product Gaussian Quadrature on Circular Lunes
AU - Gaspare Da Fies & Marco Vianello
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 251
EP - 264
PY - 2014
DA - 2014/07
SN - 7
DO - http://doi.org/10.4208/nmtma.2014.1319nm
UR - https://global-sci.org/intro/article_detail/nmtma/5874.html
KW - Product Gaussian quadrature, subperiodic trigonometric quadrature, circular lunes.
AB - <p style="text-align: justify;">Resorting to recent results on subperiodic trigonometric quadrature, we
provide three product Gaussian quadrature formulas exact on algebraic polynomials
of degree $n$ on circular lunes. The first works on any lune, and has $n^2 +&nbsp;\mathcal{O}(n)$ cardinality. The other two have restrictions on the lune angular intervals, but their
cardinality is $n^2/2 +&nbsp;\mathcal{O}(n)$.</p>