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

A.G. Ramm; I. Boikov

arxiv: math/0409324 · v1 · pith:WKCYXI5Rnew · submitted 2004-09-18 · 🧮 math.NA · cs.NA

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 This is my paper

classification 🧮 math.NA cs.NA

keywords accuracyarbitrarycalculatingcapacitancesconductorsintegralsmultidimensionaloptimal

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

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