Optimal with respect to accuracy algorithms for calculation of multidimensional weakly singular integrals and applications to calculation of capacitances of conductors of arbitrary shapes

Mathematics – Numerical Analysis

Scientific paper

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Scientific paper

Abstract

Cubature formulas, asymptotically optimal with respect to accuracy, are
derived for calculating multidimensional weakly singular integrals. They are
used for developing a universal code for calculating capacitances of conductors
of arbitrary shapes.

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