Numerical integration based on a multilevel quartic quasi-interpolation operator

@article{Wu2014NumericalIB,
  title={Numerical integration based on a multilevel quartic quasi-interpolation operator},
  author={Jinming Wu and Renhong Wang and Xiaolei Zhang},
  journal={Applied Mathematics and Computation},
  year={2014},
  volume={227},
  pages={132-138}
}
Quasi-interpolation is very important in the study of the scattered data approximation, numerical integration and numerical solutions of differential equations. In this paper, we proposed a multilevel quasi-interpolation scheme by using B-spline basis functions on quartic spline space. Moreover, the proposed scheme is applied to the numerical integration of two-dimensional singular integrals. Some numerical results with contrast to the existing methods are provided. 

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