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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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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Quasi-interpolations with interpolation property
Journal of Computational and Applied Mathematics, 2004 Let \(\Omega \subset \mathbb R^s\) and \(B(\Omega)\) be the set consisting in all bounded functions over \(\Omega\). Let \(T:B(\Omega) \to B(\Omega)\) be a linear operator and \(X=\{ x_1,\ldots,x_r \}\) a set of points. \(T\) is called a linear operator with interpolation property (A) if \((Tf)(x_j)=f(x_j)\) for any \(f \in B(\Omega)\) and \(j=1,\ldots,
Wang, Ren-Hong, Wang, Jing-Xin
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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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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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Interpolative Kannan Contractions in T0-Quasi-Metric Spaces
Journal of Mathematics, 2021 In this paper, we update the well-known fixed point theorem of Kannan using the interpolation notion in the realm of quasi-metric spaces. We consider some asymmetric versions. We also present some illustrative examples in support of the obtained results.
Yaé Ulrich Gaba +2 more
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Mollification in strongly Lipschitz domains with application to continuous and discrete De Rham complex [PDF]
, 2015 We construct mollification operators in strongly Lipschitz domains that do not invoke non-trivial extensions, are $L^p$ stable for any real number $p\in[1,\infty]$, and commute with the differential operators $\nabla$, $\nabla{\times}$, and $\nabla{\cdot}
Ern, Alexandre, Guermond, Jean-Luc
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Quasi-interpolation projectors for subdivision function spaces
Graphical ModelsSubdivision surfaces as an extension of splines have become a promising technique for addressing PDEs on models with complex topologies in isogeometric analysis.
Hailun Xu, Zepeng Wen, Hongmei Kang
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Quasi-Interpolation in a Space of C2 Sextic Splines over Powell–Sabin Triangulations
Mathematics, 2021 In this work, we study quasi-interpolation in a space of sextic splines defined over Powell–Sabin triangulations. These spline functions are of class C2 on the whole domain but fourth-order regularity is required at vertices and C3 regularity is imposed ...
Salah Eddargani +4 more
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Local RBF approximation for scattered data fitting with bivariate splines [PDF]
, 2005 In this paper we continue our earlier research [4] aimed at developing effcient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm.
A. Björck +9 more
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