Results 1 to 10 of about 6,568 (311)
Regular, Singular and Hypersingular Integrals over Fractal Contours
Mathematics, 2023 The paper is devoted to the approximate calculation of Riemann definite integrals, singular and hypersingular integrals over closed and open non-rectifiable curves and fractals.
Ilya Boykov +2 more
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Numerical methods of computation of singular and hypersingular integrals
International Journal of Mathematics and Mathematical Sciences, 2001 In solving numerous problems in mathematics, mechanics, physics, and technology one is faced with necessity of calculating different singular integrals. In analytical form calculation of singular integrals is possible only in unusual cases.
I. V. Boikov
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International Journal for Numerical Methods in Engineering, 1999 Accurate numerical determination of line integrals is fundamental to reliable implementation of the boundary element method. For a source point distant from a particular element, standard Gaussian quadrature is adequate, as well as being the technique of
Peter R Johnston
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Axioms, 2022 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.
Ilya Boykov +2 more
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Efficient algorithms for integrals with highly oscillatory Hankel kernels
Results in Applied Mathematics, 2022 We present an efficient numerical algorithm for approximating integrals with highly oscillatory Hankel kernels. First, using the integral expression of the Hankel function, the integral is transformed into the integral of the trigonometric kernel, and ...
Qinghua Wu, Mengjun Sun
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Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
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Approximate methods for calculating hypersingular integrals
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021 Background. Hypersingular integrals are now finding more and more fields of application – aerodynamics, elasticity theory, electrodynamics and geophysics.
I.V. Boykov, P.V. Aykashev
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Rational Transformations for Evaluating Singular Integrals by the Gauss Quadrature Rule
Mathematics, 2020 In this work we introduce new rational transformations which are available for numerical evaluation of weakly singular integrals and Cauchy principal value integrals.
Beong In Yun
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BOUNDS FOR VOLUMES OF SUB-LEVEL SETS OF POLYNOMIALS AND APPLICATIONS
Tạp chí Khoa học Đại học Đà Lạt, 2022 In this paper, we present some explicit exponents in the estimates for the volumes of sub-level sets of polynomials on bounded sets and applications to the decay of oscillatory integrals and the convergence of singular integrals.
Loi Le Ta, Minh Quy Pham
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Some weak type estimates for maximal singular integrals
, 2022 We consider some maximal singular integral operators having variable kernels on Rn with doubling measures and prove Lp and weak type estimates for them under certain conditions.
93532 +3 more
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