# Extrapolation and Splitting Extrapolation Algorithm for Multidimensional Weakly Singular Integral of Product Type

• Published 2017 in IEEE Access

#### Abstract

In this paper, we use mid-rectangular quadrature rules to solve multidimensional weakly singular integrals of product type (MWSIP) and construct corresponding multi-step and multi-parameter asymptotic expansions of errors. The convergence order can turn from <inline-formula> <tex-math notation="LaTeX">$O(h_{i}^{\alpha _{i}+1})$ </tex-math></inline-formula… (More)
DOI: 10.1109/ACCESS.2017.2709809