Results 1 to 10 of about 1,436 (235)
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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Fractional Voronovskaya type asymptotic expansions for quasi-interpolation neural network operators [PDF]
Cubo, 2012 Here we study further the quasi-interpolation of sigmoidal and hyperbolic tangent types neural network operators of one hidden layer. Based on fractional calculus theory we derive fractional Voronovskaya type asymptotic expansions for the error of ...
George A Anastassiou
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MPAS-Seaice (v1.0.0): sea-ice dynamics on unstructured Voronoi meshes [PDF]
Geoscientific Model Development, 2022 We present MPAS-Seaice, a sea-ice model which uses the Model for Prediction Across Scales (MPAS) framework and spherical centroidal Voronoi tessellation (SCVT) unstructured meshes.
A. K. Turner +7 more
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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 $\widetilde _j$ and trigonometric polynomials $ _j$. The class of such operators includes classical interpolation polynomials ($\widetilde _j$ is the Dirac delta function), Kantorovich-type operators ...
Kolomoitsev, Yurii, Prestin, Jürgen
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Journal of Inequalities and Applications, 2023 In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
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Approximation by interpolation spectral subspaces of operators with discrete spectrum
Математичні Студії, 2021 The paper describes approximation properties of interpolation spectral subspaces of an unbounded operator $A$ with discrete spectrum $\sigma(A)$ in a Banach space $\mathfrak X$, as well as ones corresponding subspaces ${\mathcal E}_{q,p}^{\nu}(A)$ of ...
M.I. Dmytryshyn
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General multivariate arctangent function activated neural network approximations
Journal of Numerical Analysis and Approximation Theory, 2022 Here we expose multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N}\), \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature ...
George A. Anastassiou
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Neural Network Approximation for Time Splitting Random Functions
Mathematics, 2023 In this article we present the multivariate approximation of time splitting random functions defined on a box or RN,N∈N, by neural network operators of quasi-interpolation type.
George A. Anastassiou +1 more
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Multiple general sigmoids based Banach space valued neural network multivariate approximation
Cubo, 2023 Here we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N},\) \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature ...
George A. Anastassiou
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Splines Parameterization of Planar Domains by Physics-Informed Neural Networks
Mathematics, 2023 The generation of structured grids on bounded domains is a crucial issue in the development of numerical models for solving differential problems. In particular, the representation of the given computational domain through a regular parameterization ...
Antonella Falini +3 more
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