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

I. Boikov, A. G. Ramm

math.NAarXiv:math/0409324

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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