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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,
Ren-Hong Wang
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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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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.
Maria JOSÉ Ibáñez-Pérez
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Numerical Solution of Saint-Venant Equation by Cubic B-spline Quasi-interpolation [PDF]
Jisuanji kexue, 2023 Firstly,the error estimates of cubic spline quasi-intepolating operators are derived for continuous differential function with different orders.Secondly,cubic B-spline quasi-interpolation is used to get the numerical solution of Saint-Venant equation ...
QIAN Jiang, ZHANG Ding
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Mathematics, 2021 An advanced new methodology is presented to improve parameter extraction in resistive memories. The series resistance and some other parameters in resistive memories are obtained, making use of a two-stage algorithm, where the second one is based on ...
María José Ibáñez +4 more
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An Improved Model for Kernel Density Estimation Based on Quadtree and Quasi-Interpolation
Mathematics, 2022 There are three main problems for classical kernel density estimation in its application: boundary problem, over-smoothing problem of high (low)-density region and low-efficiency problem of large samples.
Jiecheng Wang, Yantong Liu, Jincai Chang
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Axioms, 2023 The aim of this paper is to present and study nonlinear bivariate C1 quadratic spline quasi-interpolants on uniform criss-cross triangulations for the approximation of piecewise smooth functions.
Francesc Aràndiga, Sara Remogna
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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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Quasi-interpolation in Spline Spaces: Local Stability and Approximation Properties
Trends in Computational and Applied Mathematics, 2023 In this work we analyze the approximation error in Sobolev norms for quasi-interpolation operators in spline spaces. We establish in a general way the hypotheses on a quasi-interpolant to achieve the optimal order of approximation.
M. E. Castillo, E. M. Garau
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Advances in Mechanical Engineering, 2020 Nonlinear partial differential equations are widely studied in Applied Mathematics and Physics. The generalized Burgers-Huxley equations play important roles in different nonlinear physics mechanisms.
Lan-Yin Sun, Chun-Gang Zhu
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