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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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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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C1-Cubic Quasi-Interpolation Splines over a CT Refinement of a Type-1 Triangulation
Mathematics, 2022 C1 continuous quasi-interpolating splines are constructed over Clough–Tocher refinement of a type-1 triangulation. Their Bernstein–Bézier coefficients are directly defined from the known values of the function to be approximated, so that a set of ...
Haithem Benharzallah +2 more
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Numerical Homogenization of Heterogeneous Fractional Laplacians [PDF]
, 2017 In this paper, we develop a numerical multiscale method to solve the fractional Laplacian with a heterogeneous diffusion coefficient. When the coefficient is heterogeneous, this adds to the computational costs.
Brown, Donald L. +2 more
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