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

2003/01/31 by И. В. Бойков, А. Г. Рамм, Boikov, I. +1
Computer Science · Mathematics · Physics and Astronomy · #65D32 #78A30 #78M25 #Advanced Mathematical Modeling in Engineering #Electromagnetic Scattering and Analysis #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.math/0301386

openalex publication_date 2003/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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