Results 21 to 30 of about 9,915 (287)
Comptes Rendus. Mathématique, 2023 We estimate best-approximation errors using vector-valued finite elements for fields with low regularity in the scale of the fractional-order Sobolev spaces. By assuming that the target field enjoys an additional integrability property on its curl or its
Dong, Zhaonan +2 more
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Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors [PDF]
, 2015 This paper addresses the variational multiscale stabilization of standard finite element methods for linear partial differential equations that exhibit multiscale features. The stabilization is of Petrov-Galerkin type with a standard finite element trial
A. Abdulle +41 more
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Mathematics, 2019 Radial basis function-based quasi-interpolation performs efficiently in high-dimensional approximation and its applications, which can attain the approximant and its derivatives directly without solving any large-scale linear system.
Shenggang Zhang +2 more
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Minimizing the quasi-interpolation error for bivariate discrete quasi-interpolants
Journal of Computational and Applied Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barrera-Rosillo, Domingo +1 more
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A novel parameterized multiquadric quasi-interpolation operator with its optimal parameters
Results in Applied MathematicsThe shape parameter c plays a crucial role in determining the accuracy and effectiveness of multiquadric quasi-interpolation algorithm. However, a few works discuss the shape parameter c in multiquadric quasi-interpolation operator.
Hualin Xiao, Dan Qu
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Approximate Approximations from scattered data
, 2005 The aim of this paper is to extend the approximate quasi-interpolation on a uniform grid by dilated shifts of a smooth and rapidly decaying function on a uniform grid to scattered data quasi-interpolation.
Lanzara, F., Maz'ya, V., Schmidt, G.
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Weierstrass quasi-interpolants
Journal of Approximation Theory, 2014 The expression of Weierstrass operators as differential operators on polynomials is used for the construction of associated quasi-interpolants. Also the convergence estimates of these operators are studied.
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Quasi-Interpolation on Chebyshev Grids with Boundary Corrections
ComputationQuasi-interpolation is a powerful tool for approximating functions using radial basis functions (RBFs) such as Gaussian kernels. This avoids solving large systems of equations as in RBF interpolation. However, quasi-interpolation with Gaussian kernels on
Faisal Alsharif
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Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We propose a new approach for solving nonlinear Klein–Gordon and sine-Gordon equations based on radial basis function-pseudospectralmethod (RBF-PS). The proposed numerical method is based on quasiinterpolation of radial basis function differentiation ...
M. Emamjomeh, S. Abbasbandy, D. Rostamy
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Bivariate hierarchical Hermite spline quasi--interpolation
, 2016 Spline quasi-interpolation (QI) is a general and powerful approach for the construction of low cost and accurate approximations of a given function. In order to provide an efficient adaptive approximation scheme in the bivariate setting, we consider ...
Bracco, Cesare +3 more
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