Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains

@article{Lamberti2009NumericalIB,
  title={Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains},
  author={Paola Lamberti},
  journal={BIT Numerical Mathematics},
  year={2009},
  volume={49},
  pages={565-588}
}
In this paper we generate and study new cubature formulas based on spline quasi-interpolants defined as linear combinations of C1 bivariate quadratic B-splines on a rectangular domain Ω, endowed with a non-uniform criss-cross triangulation, with discrete linear functionals as coefficients. Such B-splines have their supports contained in Ω and there is no data point outside this domain. Numerical results illustrate the methods. 

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