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math.NA2022★ 1 cited
A Modified Trapezoidal Rule for a Class of Weakly Singular Integrals in n Dimensions
Senbao Jiang, Xiaofan Li
In this paper we propose and analyze a general arbitrarily high-order modified trapezoidal rule for a class of weakly singular integrals of the forms $I = \int_{\mathbb{R}^n}ϕ(x)s(…
math.NA2021
High-order Corrected Trapezoidal Rules for Functions with Fractional Singularities
Senbao Jiang, Xiaofan Li
In this paper, we introduce and analyze arbitrarily high-order quadrature rules for evaluating the two-dimensional singular integrals of the forms \begin{align} I_{i,j} = \int_{\ma…