Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains
In this paper we generate and study new cubature formulas based on spline quasi-interpolants defined as linear combinations of C(1) bivariate quadratic B-splines on a rectangular domain Omega, endowed with a non-uniform criss-cross triangulation, with discrete linear functionals as coefficients. Such B-splines have their supports contained in Omega and there is no data point outside this domain. Numerical results illustrate the methods.
quasi-interpolation cubatures bivariate spline approximation