Results 21 to 30 of about 1,436 (235)

Abel–Goncharov Type Multiquadric Quasi-Interpolation Operators with Higher Approximation Order [PDF]

Journal of Mathematics, 2021
A kind of Abel–Goncharov type operators is surveyed. The presented method is studied by combining the known multiquadric quasi-interpolant with univariate Abel–Goncharov interpolation polynomials. The construction of new quasi-interpolants ℒ m
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$$H^1$$-conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes [PDF]

Calcolo, 2021
AbstractA finite element cochain complex on Cartesian meshes of any dimension based on the $$H^1$$ H 1 -inner product is introduced. It yields $$H^1$$ H 1 -conforming
Francesca Bonizzoni, Guido Kanschat
openaire   +6 more sources

Trivariate near-best blending spline quasi-interpolation operators

Numerical Algorithms, 2017
This paper deals with the construction of trivariate quasi-interpolation operators based on the blending of univariate B-spline and bivariate box-spline quasi-interpolation operators. The proposed quasi-interpolation method can be used for building non-discrete models from discrete data on volumetric grids, as required, for example, in scientific ...
Barrera, D., DAGNINO, Catterina, Ibáñez, M. J., REMOGNA, Sara   +3 more
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A novel parameterized multiquadric quasi-interpolation operator with its optimal parameters

Results in Applied Mathematics
The 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
doaj   +1 more source

Bivariate multiquadric quasi-interpolation operators of Lidstone type

AIMS Mathematics, 2023
<abstract><p>In this paper, a kind of bivariate multiquadric quasi-interpolant with the derivatives of a approximated function is studied by combining the known multiquadric quasi-interpolant with the generalized Taylor polynomials that act as the bivariate Lidstone interpolation polynomials.
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On a quasi-interpolating Bernstein operator

Journal of Approximation Theory, 2015
A special case of the modification of Lagrange interpolation due to Bernstein is considered as follows: \[ B_{n}(f,x) := B_{n,1}(f,x) = \sum_{i=1}^{[n/2]} \, f(x_{2i-1}) \{ l_{2i-1}(x)+l_{2i}(x) \} + (n-2[n/2]) f(x_{n}) l_{n}(x), \] where \(x_{i} := x_{in} = \cos t_{i},\) \(t_{i} := \frac{2i-1}{2n} \pi,\) \(i = 1,2,\ldots, n\) are the roots of the ...
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Adapted B-Spline Quasi-Interpolation for Approximating Piecewise Smooth Functions

Algorithms
We address the challenge of efficiently approximating piecewise smooth functions, particularly those with jump discontinuities. Given function values on a uniform grid over a domain Ω in Rd, we present a novel B-spline-based approximation framework ...
David Levin, Nira Gruberger
doaj   +1 more source

Bivariate quartic spline spaces and quasi-interpolation operators

Journal of Computational and Applied Mathematics, 2006
Dimension of the space of bivariate splines defined over cross-cut partitions with global smoothness, is known [see \textit{R. H. Wang}, Multivariate Spline Functions and their Applications. Mathematics and its Applications (Dordrecht). 529. Dordrecht: Kluwer Academic Publishers. Beijing: Science Press. (2001; Zbl 1002.41001)].
Wang, Ren-Hong, Li, Chong-Jun
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Biodegradable and Recyclable Luminescent Mixed‐Matrix‐Membranes, Hydrogels, and Cryogels based on Nanoscale Metal‐Organic Frameworks and Biopolymers

Advanced Functional Materials, EarlyView.
The study presents biodegradable and recyclable mixed‐matrix membranes (MMMs), hydrogels, and cryogels using luminescent nanoscale metal‐organic frameworks (nMOFs) and biopolymers. These bio‐nMOF‐MMMs combine europium‐based nMOFs as probes for the status of the materials with the biopolymers agar and gelatine and present alternatives to conventional ...
Moritz Maxeiner, Julian Burkhart, Kateryna Borysova, Chiara Mazzariol, Klaus Müller‐Buschbaum   +4 more
wiley   +1 more source

A kind of improved bivariate even order Bernoulli-type multiquadric quasi-interpolation operator and its application in two-dimensional coupled Burgers’ equations

Boundary Value Problems
Multiquadric quasi-interpolation is an efficient high-dimensional approximation algorithm. It can directly obtain the approximation term and its derivatives without solving any large-scale linear equations.
Ruifeng Wu
doaj   +1 more source