Estimates for the Remainders of Certain Quadrature Formulas
Sign Up to like & getrecommendations! Published in 2018 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542518040024
Abstract: Estimates of the remainders of certain quadrature formulas are obtained, in particular, of quadrature formulas with nodes that are the zeros of Chebyshev polynomials of the first kind in classes of differentiable functions characterized by… read more here.
Keywords: remainders certain; estimates remainders; certain quadrature; quadrature formulas ... See more keywords
Quadrature Formulas of Gauss Type for a Sphere with Nodes Characterized by Regular Prism Symmetry
Sign Up to like & getrecommendations! Published in 2020 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542520070118
Abstract: When the transport equation is solved by the discrete ordinate method, the problem arises of constructing quadrature formulas on a sphere characterized by the required accuracy and making it possible to use the quadrature nodes… read more here.
Keywords: quadrature formulas; quadrature; geometry; regular prism ... See more keywords
Approximate Methods for Calculating Singular and Hypersingular Integrals with Rapidly Oscillating Kernels
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DOI: 10.3390/axioms11040150
Abstract: The article is devoted to the issue of construction of an optimal with respect to order passive algorithms for evaluating Cauchy and Hilbert singular and hypersingular integrals with oscillating kernels. We propose a method for… read more here.
Keywords: singular hypersingular; oscillating kernels; quadrature formulas; hypersingular integrals ... See more keywords