Results 11 to 20 of about 1,199 (217)
Orthogonal polynomials and generalized Gauss-Rys quadrature formulae
Kuwait Journal of Science, 2021 Orthogonal polynomials and the corresponding quadrature formulas of Gaussian type with respect to the even weight function $\omega^{\lambda}(t;x)=\exp(-x t^2)(1-t^2)^{\lambda-1/2}$ on $(-1,1)$, with parameters $\lambda>-1/2$ and $x>0$, are considered.
Gradimir Milovanovic, Nevena Vasovic ́
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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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Error estimation for quadrature formulas based on equally spaced nodes
Mathematical Modelling and Analysis, 2006 The error estimation for quadrature formulas based on equally spaced nodes is discussed in this paper. The error estimates use embedded formulas and they are obtained for Newton‐Cotes and Hermitian quadrature formulas.
K. Plukas, D. Plukiene
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Stochastic Quadrature Formulas [PDF]
Mathematics of Computation, 1969 A class of formulas for the numerical evaluation of multiple integrals is described, which combines features of the Monte-Carlo and the classical methods. For certain classes of functions—defined by smoothness conditions—these formulas provide the fastest possible rate of convergence to the integral. Asymptotic error estimates are derived, and a method
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Моделирование и анализ информационных систем, 2013 In this paper is considered the extreme problem of searching for the optimal quadrature formulas in S.M. Nikolskiy sense for approximate calculation of curvilinear integrals of first kind on the class of differentiable functions, the second gradient norm
K. Tukhliev
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A certain class of quadratures with even Tchebychev weights
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We are considering the quadrature formulas of “practical type” (with five knots) for approximate computation of integral [xxx] where w(·) denotes (even) Tchebychev weight function.
Udovičić Zlatko, Udovičić Mirna
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On Birkhoff Quadrature Formulas [PDF]
Proceedings of the American Mathematical Society, 1986 In an earlier work the author has obtained new quadrature formulas (see (1.3)) based on function values and second derivatives on the zeros of
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A note on a family of quadrature formulas and some applications [PDF]
Opuscula Mathematica, 2008 In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Bogusław Bożek +2 more
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Some applications of Sigmoid functions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 In numerical analysis, the process of fitting a function via given data is called interpolation. Interpolation has many applications in engineering and science.
M. A. Jafari, A. Aminataei
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Mathematics, 2023 It is known that discrete analogs of differential operators play an important role in constructing optimal quadrature, cubature, and difference formulas.
Kholmat Shadimetov +2 more
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