Coefficient Groups Inducing Nonbranched Optimal Transport [PDF]
In this work we consider an optimal transport problem with coefficients in a normed Abelian group G , and extract a purely intrinsic condition on G that guarantees ...
Petrache, Mircea, Zust, Roger
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Optimal quadrature formulas in the space W2(m,m−1) of periodic functions
This paper is devoted to the process of finding the upper bound for the absolute error of the optimal quadrature formula in the space W2(m,m−1) of real-valued, periodic functions. For this the extremal function of the quadrature formula is used.
Hayotov, A.R., Khayriev, U.N.
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Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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Optimal quadrature formulas for oscillatory integrals in the Sobolev space
This work studies the problem of construction of optimal quadrature formulas in the sense of Sard in the space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$ for numerical calculation of Fourier coefficients. Using Sobolev’s method, we obtain new sine and cosine
Kholmat Shadimetov +2 more
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An Optimal Choice of Profile Shift Coefficients for Spur Gears
Methods used earlier for choosing profile shift coefficients were based on presumed advantages without physical proof justifying them. In this paper, a new method is proposed which guarantees a positive influence on gear failures and the operational ...
Zoltán Tomori
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Determination of optimal nudging coefficients [PDF]
A four-dimensional variational assimilation (4D-Var) scheme is now widely used by meteorologicalcentres in a operational way. However, most of these applications do not take account of model error.Indeed, the classical 4D-Var with imperfect model formulation is unaffordable for current computationalmeans.
Vidard, Arthur +2 more
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Time–Optimal Control of Linear Fractional Systems with Variable Coefficients
Linear systems described by fractional differential equations (FDEs) with variable coefficients involving Riemann–Liouville and Caputo derivatives are examined in the paper.
Matychyn Ivan, Onyshchenko Viktoriia
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OPTIMAL MODEL AVERAGING OF VARYING COEFFICIENT MODELS [PDF]
We consider the problem of model averaging over a set of semiparametric varying coefficient models where the varying coefficients can be functions of continuous and categorical variables. We propose a Mallows model averaging procedure that is capable of delivering model averaging estimators with solid finite-sample performance.
Li, Cong +3 more
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Optimal Diffusion Coefficient Estimation in Single-Particle Tracking [PDF]
Single-particle tracking is increasingly used to extract quantitative parameters on single molecules and their environment, while advances in spatial and temporal resolution of tracking techniques inspire new questions and avenues of investigation.
Berglund, Andrew J., Michalet, Xavier
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Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space [PDF]
The 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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