Numerical integration based on a multilevel quartic quasi-interpolation operator

作者：Wu, Jinming^*; Wang, Renhong; Zhang, Xiaolei

来源：Applied Mathematics and Computation, 2014, 227: 132-138.

DOI：10.1016/j.amc.2013.10.094

• Quasi-interpolation operators
• Multilevel
• Quartic spline space
• Singular integrals

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.

• 出版日期2014-1-15
• 单位大连理工大学; 浙江工商大学