@Article{NMTMA-7-251, author = {}, title = {Product Gaussian Quadrature on Circular Lunes}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2014}, volume = {7}, number = {2}, pages = {251--264}, abstract = {

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 $n^2 + \mathcal{O}(n)$ cardinality. The other two have restrictions on the lune angular intervals, but their cardinality is $n^2/2 + \mathcal{O}(n)$.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2014.1319nm}, url = {http://global-sci.org/intro/article_detail/nmtma/5874.html} }