Results 11 to 20 of about 789 (216)
Optimal quadrature formulas in Sobolev space for solving the generalized Abel integral equation [PDF]
E3S Web of ConferencesIn this article, a composite optimal quadrature formula is constructed for an approximate analytical solution of the generalized integral Abel equation in the Sobolev functional space.
Daliyev Bakhtiyor +5 more
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Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space [PDF]
E3S Web of ConferencesThe development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate ...
Bozarov Bakhromjon +5 more
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Weighted Optimal Formulas for Approximate Integration
MathematicsSolutions to problems arising from much scientific and applied research conducted at the world level lead to integral and differential equations. They are approximately solved, mainly using quadrature, cubature, and difference formulas. Therefore, in the
Kholmat Shadimetov, Ikrom Jalolov
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Results in Applied MathematicsThis work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
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The numerical solution of an Abel integral equation by the optimal quadrature formula
Results in Applied MathematicsIn this study, a novel and efficient approach utilizing optimal quadrature formulas is introduced to derive approximate solutions for generalizing Abel’s integral equations. The method, characterized by high accuracy and simplicity, involves constructing
Abdullo Hayotov +2 more
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
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, 2022 In the present paper in L(m)(−1, 1) space the optimal quadrature formulas with derivatives are constructed for approximate solution of a singular integral equation of the first kind with Cauchy kernel.
SHADIMETOV, Kholmat M. +1 more
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Uniqueness of the Optimal Nodes of Quadrature Formulae [PDF]
Mathematics of Computation, 1981 We prove the uniqueness of the quadrature formula with minimal error in the space W
openaire +2 more sources
Treeline Provides a Unified Strategy for Optimising Phylogenetic Trees Under Alternative Criteria. [PDF]
Mol Ecol ResourABSTRACT The choice of optimality criterion is a key consideration in phylogenetic studies. Recent work challenges the notion that more computationally demanding optimisation objectives result in better phylogenetic trees. This finding underscores the importance of comparing trees across optimisation objectives in addition to different models of ...
Wright ES.
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Mathematics, 2023 A nonlinear equation f(x)=0 is mathematically transformed to a coupled system of quasi-linear equations in the two-dimensional space. Then, a linearized approximation renders a fractional iterative scheme xn+1=xn−f(xn)/[a+bf(xn)], which requires one ...
Chein-Shan Liu +2 more
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