Construction of boundary quadrature formulas using wavelets
Tian-Xiao He · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1995
This paper gives a refinement of a general method for the construction of multivariate numerical integration formulas that use merely boundary points as evaluation points. Boundary quadrature formulas are constructed by using the optimal dimensionality-reducing expansion and quadrature formulas for the integrals of periodic functions with wavelet weights. Boundary quadrature formulas are also used to solve boundary value problems of partial differential equations.