Bivariate High-Accuracy Hermite-Type Multiquadric Quasi-Interpolation Operators
Journal of MathematicsIn this paper, a kind of Hermite-type multiquadric quasi-interpolation operator is constructed by combining an extended univariate multiquadric quasi-interpolation operator with a bivariate Hermite interpolation polynomial.
Ruifeng Wu
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Approximation properties of periodic multivariate quasi-interpolation operators [PDF]
Journal of Approximation Theory, 2021 We study approximation properties of general multivariate periodic quasi-interpolation operators, which are generated by distributions/functions $\widetildeφ_j$ and trigonometric polynomials $φ_j$. The class of such operators includes classical interpolation polynomials ($\widetildeφ_j$ is the Dirac delta function), Kantorovich-type operators ...
Yurii Kolomoitsev, Jürgen Prestin
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Approximation by quasi-interpolation operators and Smolyak's algorithm [PDF]
Journal of Complexity, 2022 We study approximation of multivariate periodic functions from Besov and Triebel--Lizorkin spaces of dominating mixed smoothness by the Smolyak algorithm constructed using a special class of quasi-interpolation operators of Kantorovich-type. These operators are defined similar to the classical sampling operators by replacing samples with the average ...
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Quasi-Interpolant Operators and the Solution of Fractional Differential Problems [PDF]
, 2021 Proceedings of Approximation Theory XVI, Nashville TN ...
Pellegrino E., Pezza L., Pitolli F.
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A shape preserving quasi-interpolation operator based on a new transcendental RBF [PDF]
CoRR, 2021 It is well-known that the univariate Multiquadric quasi-interpolation operator is constructed based on the piecewise linear interpolation by |x|. In this paper, we first introduce a new transcendental RBF based on the hyperbolic tangent function as a smooth approximant to f(r)=r with higher accuracy and better convergence properties than the ...
Heidari M., Mohammadi M., De Marchi S.
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Numerical Homogenization of Heterogeneous Fractional Laplacians [PDF]
, 2017 In this paper, we develop a numerical multiscale method to solve the fractional Laplacian with a heterogeneous diffusion coefficient. When the coefficient is heterogeneous, this adds to the computational costs.
Brown, Donald L. +2 more
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The Genuine Bernstein–Durrmeyer Operators and Quasi-Interpolants
Results in Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heilmann, Margareta, Wagner, Martin
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Symmetric Spaces of Measurable Functions: Old and New Advances
Современная математика: Фундаментальные направления, 2020 The article is an extensive review in the theory of symmetric spaces of measurable functions. It contains a number of new (recent) and old (known) results in this field.
M. A. Muratov, B.-Z. A. Rubshtein
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On the Numerical Solution of One-Dimensional Nonlinear Nonhomogeneous Burgers’ Equation
Journal of Applied Mathematics, 2014 The nonlinear Burgers’ equation is a simple form of Navier-Stocks equation. The nonlinear nature of Burgers’ equation has been exploited as a useful prototype differential equation for modeling many phenomena. This paper proposes two meshfree methods for
Maryam Sarboland, Azim Aminataei
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Quasi-optimal multiplication of linear differential operators [PDF]
, 2012 We show that linear differential operators with polynomial coefficients over a field of characteristic zero can be multiplied in quasi-optimal time. This answers an open question raised by van der Hoeven.Comment: To appear in the Proceedings of the 53rd ...
Benoit, Alexandre +2 more
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