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

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

2004-09-18

arxiv.org/abs/math/0409324v1

Acta Applicandae Math. 79 (2003)281-326

Mathematics

Numerical Analysis

45pp

Scientific paper

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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