Optimal with respect to accuracy algorithms for calculation of multidimensional weakly singular integrals and applications to calculations of capacitances of conductors of arbitrary shapes
arXiv: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.
45pp