High-Order Quadratures for Integral Operators with Singular Kernels
نویسنده
چکیده
A numerical integration method that has rapid convergence for integrands with known singularities is presented. Based on endpoint corrections to the trapezoidal rule, the quadratures are suited for the discretization of a variety of integral equations encountered in mathematical physics. The quadratures are based on a technique introduced by Rokhlin (Computers Math. Applic. 20, pp. 51-62, 1990). The present modi cation controls the growth of the quadrature weights and permits higher-order rules in practice. Several numerical examples are included. Abbreviated Title. Quadratures for Integral Equations
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