Stokes flows in a two-dimensional bifurcation [PDF]
Royal Society Open ScienceThe flow network model is an established approach to approximate pressure–flow relationships in a bifurcating network, and has been widely used in many contexts.
Yidan Xue +2 more
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Multivariate approximation by polynomial and generalized rational functions [PDF]
Optimization, 2021 In this paper, we develop an optimization-based approach to multivariate Chebyshev approximation on a finite grid. We consider two models: multivariate polynomial approximation and multivariate generalized rational approximation.
R. Díaz Millán +3 more
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Resolution of singularities by rational functions [PDF]
SIAM Journal on Numerical Analysis, 2023 Results on the rational approximation of functions containing singularities are presented. We build further on the ''lightning method'', recently proposed by Trefethen and collaborators, based on exponentially clustering poles close to the singularities.
Astrid Herremans +2 more
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Approximation by Rational Functions in Variable Exponent Morrey–Smirnov Classes
Journal of Mathematics, 2022 In this work, the direct theorem of approximation theory in variable exponent Morrey–Smirnov classes of analytic functions, defined on a doubly connected domain of the complex plane bounded by two sufficiently smooth curves, is investigated.
Ahmed Kinj
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A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation
Mathematics, 2022 We introduce a new Kantorovich-type rational operator. We investigate inequalities estimating its rates of convergence in view of the modulus of continuity and the Lipschitz-type functions.
Esma Yıldız Özkan
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Orthogonal rational approximation of transfer functions for high‐frequency circuits [PDF]
International journal of circuit theory and applications, 2022 This paper introduces the orthogonal rational approximation (ORA) algorithm for rational function approximation of transfer functions, based on data available from simulations or measurements.
Andrew Ma, A. Engin
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On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2020 The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
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Algebraic Solution of Tropical Best Approximation Problems
Mathematics, 2023 We introduce new discrete best approximation problems, formulated and solved in the framework of tropical algebra, which deals with semirings and semifields with idempotent addition.
Nikolai Krivulin
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Extension of Dasgupta’s Technique for Higher Degree Approximation
Universitas Scientiarum, 2021 In the present paper, rational wedge functions for degree two approximation have been computed over a pentagonal discretization of the domain, by using an analytic approach which is an extension of Dasgupta’s approach for linear approximation.
P. L. Powar +2 more
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Accurate analytic approximation to the Modified Bessel function of Second Kind K 0(x)
Results in Physics, 2022 Two analytic approximations have been determined for the modified Bessel functions of second kind K0(x), good for either positive or negative values of x.
Pablo Martin, Fernando Maass
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