Results 31 to 40 of about 217,218 (245)

The Optimal Quadrature Formula of Approximate Calculation of Curvilinear Integral of First Kind for Some Classes of Functions and Curves

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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Quadrature formulas for Bessel polynomials [PDF]

, 2023
A quadrature formula is a formula computing a definite integration by evaluation at finite points. The existence of certain quadrature formulas for orthogonal polynomials is related to interesting problems such as Waring's problem in number theory and ...
Matsumura, Hideki
core   +1 more source

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, Wiesław Solak, Zbigniew Szydełko   +2 more
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Several new quadrature formulas for polynomial integration in the triangle [PDF]

, 2005
We present several new quadrature formulas in the triangle for exact integration of polynomials. The points were computed numerically with a cardinal function algorithm which imposes that the number of quadrature points $N$ be equal to the dimension of a
Mark Taylor (65647), Len P. Bos (21825635), Beth Wingate (21825632)   +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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On Gauss’ and Tchebycheff’s quadrature formulas [PDF]

Bulletin of the American Mathematical Society, 1944
Not ...
openaire   +3 more sources

Optimization of the Approximate Integration Formula Using the Discrete Analogue of a High-Order Differential Operator

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, Aziz Boltaev, Roman Parovik   +2 more
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Truncation error estimation for Newton–Cotes quadrature formulas

Lietuvos Matematikos Rinkinys, 2004
Theoretical and practical aspects of truncation error estimation for Newton–Cotes quadrature formulas are discussed in this paper.
Kostas Plukas, Danutė Plukienė
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Optimal quadrature formulas for approximate calculation of rapidly oscillating integrals

Results in Applied Mathematics
In this paper, we study the problem of constructing optimal formulas for approximate integration in the Sobolev space L2m˜0,1 of periodic functions. Using the functional approach, we obtain optimal quadrature formulas for the approximate calculation of ...
Kholmat Shadimetov, Anvar Adilkhodjaev, Otabek Gulomov   +2 more
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Optimal Numerical Integration

Кібернетика та комп'ютерні технології, 2020
Introduction. In many applied problems, such as statistical data processing, digital filtering, computed tomography, pattern recognition, and many others, there is a need for numerical integration, moreover, with a given (often quite high) accuracy ...
V.K. Zadiraka, L.V. Luts, I.V. Shvidchenko   +2 more
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