On the numerical calculation of Hadamard finite-part integrals
Keywords:
Numerical integration, Quadrature formulae, Hadamard finite pert integrals, Hypersingular integralsAbstract
In this paper we consider a simple method for calculating integrals possessing strong singularities, to be interpreted in the Hadamard finite-part sense. We partition the original interval of integration and then integrate over the subintervals by using suitably modified low-order Gaussian-type quadratures. Convergence is shown under suitable assumptions and numerical evidence supports the theoretical findings.Downloads
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