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Mathematics
Special Issues
Mathematical Modeling and Numerical Analysis with Applications in Various Fields
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Mathematical Modeling and Numerical Analysis with Applications in Various Fields

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

Deadline for manuscript submissions: 31 August 2024 | Viewed by 189

Special Issue Editor

Dr. Irina G. Nizovtseva

E-Mail Website
Guest Editor
Otto Schott Institute of Materials Research, Friedrich Schiller University, 07743 Jena, Germany
Interests: mathematical modeling; structural-phase transformations; phase-field modeling; intelligent control systems; analytical and numerical solutions; bioreactors

Special Issue Information

Dear Colleagues,

Lately, an increasing demand for the scientific community to obtain effective mathematical tools for describing and solving problems in biotechnology, medicine, engineering, and physical chemistry has been observed. It is worth mentioning that finding methodology approaches for solving the aforementioned problems demands both the proper use of a developed mathematical apparatus, including analytical solutions of partial differential equations and numerical analysis approaches, but also the use of modern advances in computational, high-performance, and artificial intelligence tools. We cordially invite authors to share their recent contributions and new results within the scope of this Special Issue, focusing on a mathematical formulation of a problem and corresponding solutions. Inspiration can be drawn from various areas, including but not limited to the broad range of physical, chemical, and biology sciences, as well as engineering disciplines and medicine.

Dr. Irina G. Nizovtseva
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mathematical modeling
  • analytical solutions
  • numerical analysis
  • aproximation
  • multiscale problems
  • stability
  • convergence
  • complexity

Published Papers (1 paper)

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Research

11 pages, 2544 KiB  
Article
A Shape-Preserving Variational Spline Approximation Problem for Hole Filling in Generalized Offset Surfaces
by Abdelouahed Kouibia, Miguel Pasadas and Loubna Omri
Mathematics 2024, 12(11), 1736; https://doi.org/10.3390/math12111736 - 3 Jun 2024
Viewed by 30
Abstract
In the study of some real cases, it is possible to encounter well-defined geometric conditions, of an industrial or design type—for example, the case of a specific volume within each of several holes. In most of these cases, it is recommended to fulfil [...] Read more.
In the study of some real cases, it is possible to encounter well-defined geometric conditions, of an industrial or design type—for example, the case of a specific volume within each of several holes. In most of these cases, it is recommended to fulfil a function defined in a domain in which information is missing in one or more sub-domains (holes) of the global set, where the function data are not known. The problem of filling holes or completing a surface in three dimensions appears in many fields of computing, such as computer-aided geometric design (CAGD). A method to solve the shape-preserving variational spline approximation problem for hole filling in generalized offset surfaces is presented. The existence and uniqueness of the solution of the studied method are established, as well as the computation, and certain convergence results are analyzed. A graphic and numerical example complete this study to demonstrate the effectiveness of the presented method. This manuscript presents the resolution of a complicated problem due to the study of some criteria that can be traduced via an approximation problem related to generalized offset surfaces with holes and also the preservation of the shape of such surfaces. Full article
(This article belongs to the Special Issue Mathematical Modeling and Numerical Analysis with Applications in Various Fields)
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