Approximation and Computation for Numerical Analysis: Latest Advances and Prospects

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 691

Special Issue Editors


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Guest Editor
Department of Applied Mathematics, ETSIE, University of Granada, 18071 Granada, Spain
Interests: approximation of curves and/or surfaces; variational method; numerical analysis; approach solution using PDE

E-Mail Website
Guest Editor
Department of Applied Mathematics, ETSIE, University of Granada, 18071 Granada, Spain
Interests: numerical analysis; splines; variational methods; approximation; interpolation; smoothing; curves; surfaces; differential equations; finite elements; fuzzy approximation; evolutionary algorithm

Special Issue Information

Dear Colleagues,

In recent years, numerical analysis has had various applications in different areas of applied mathematics as well as in applied sciences such as biology, physics, engineering, and so on.

In this Special Issue, we want to draw attention to mathematical methods used in numerical analysis, especially in approximation approaches using spline functions, radial functions, polynomial functions, etc. In particular, we aim to explore the simulation of real problems using PDE variations or a similar technique; real-life applications of these problems to applied sciences (engineering, geology, physics, biology, etc.); and all possible computer programming simulations of these problems.

High-quality papers are welcome in this Special Issue. All submitted papers must be clearly written in English and should comprise original or review work that has not been published or is currently under review by any other journals or conferences.

Prof. Dr. Abdelouahed Kouibia
Prof. Dr. Miguel Pasadas
Guest Editors

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Keywords

  • numerical analysis
  • approximation and computation
  • spline functions
  • radial functions
  • polynomial functions
  • partial differential equation

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Published Papers (1 paper)

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Research

10 pages, 875 KiB  
Article
Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions
by Abdelouahed Kouibia, Pedro González, Miguel Pasadas, Bassim Mustafa, Hossain Oulad Yakhlef and Loubna Omri
Mathematics 2024, 12(16), 2597; https://doi.org/10.3390/math12162597 - 22 Aug 2024
Viewed by 497
Abstract
In this work, we deal with two approximation problems in a finite-dimensional generalized Wendland space of compactly supported radial basis functions. Namely, we present an interpolation method and a smoothing variational method in this space. Next, the theory of the presented method is [...] Read more.
In this work, we deal with two approximation problems in a finite-dimensional generalized Wendland space of compactly supported radial basis functions. Namely, we present an interpolation method and a smoothing variational method in this space. Next, the theory of the presented method is justified by proving the corresponding convergence result. Likewise, to illustrate this method, some graphical and numerical examples are presented in R2, and a comparison with another work is analyzed. Full article
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