Numerical methods of computation of singular and hypersingular integrals
نویسندگان
چکیده
منابع مشابه
Numerical Quadratures for Singular and Hypersingular Integrals in Boundary Element Methods
A method is developed for the computation of the weights and nodes of a numerical quadrature which integrates functions containing singularities up to order 1/x2, without the requirement to know the coefficients of the singularities exactly. The work is motivated by the need to evaluate such integrals on boundary elements in potential problems and is a simplification of a previously published m...
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In the first part of this work, we derive compact numerical quadrature formulas for finite-range integrals I [f ] = ∫ b a f (x) dx, where f (x)= g(x)|x − t |β , β being real. Depending on the value of β, these integrals are defined either in the regular sense or in the sense of Hadamard finite part. Assuming that g ∈ C∞[a, b], or g ∈ C∞(a, b) but can have arbitrary algebraic singularities at x ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2001
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171201010924