Results 11 to 20 of about 10,389 (330)

Bivariate hierarchical Hermite spline quasi-interpolation [PDF]

BIT Numerical Mathematics, 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 quasi-interpolation in hierarchical spline spaces.
Bracco Cesare, Giannelli Carlotta, Mazzia Francesca, Sestini Alessandra   +3 more
openaire   +4 more sources

Nonlinear 2D C¹ Quadratic Spline Quasi-Interpolants on Triangulations for the Approximation of Piecewise Smooth Functions

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
doaj   +1 more source

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, Giuseppe Alessio D’Inverno, Maria Lucia Sampoli, Francesca Mazzia   +3 more
doaj   +1 more source

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
doaj   +1 more source

Cubic B-spline quasi-interpolation and an application to numerical solution of generalized Burgers-Huxley equation

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
doaj   +1 more source

A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order

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
doaj   +1 more source

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, Abdelaziz Mennouni, Domingo Barrera   +2 more
doaj   +1 more source

Barycentric rational interpolation at quasi-equidistant nodes [PDF]

Dolomites Research Notes on Approximation, 2012
Kai Hormann, Georges Klein, Stefano De Marchi   +2 more
doaj   +2 more sources

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., Gedicke, Joscha, Peterseim, Daniel   +2 more
core   +2 more sources

Weighted Quasi-Interpolant Spline Approximations of Planar Curvilinear Profiles in Digital Images

Mathematics, 2021
The approximation of curvilinear profiles is very popular for processing digital images and leads to numerous applications such as image segmentation, compression and recognition.
Andrea Raffo, Silvia Biasotti
doaj   +1 more source