Computational Mathematics and Its Applications in Numerical Analysis

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 31 August 2024 | Viewed by 247

Special Issue Editors


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Guest Editor
School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
Interests: partial differential equations

Special Issue Information

Dear Colleagues,

Computational mathematics has became increasingly significant across diverse fields in science and engineering. This Special Issue aims to showcase recent research findings in computational mathematics and advanced numerical methods. The publication will encompass original and survey papers delving into analysis, modeling, control, and optimization. Contributions employing advanced computational mathematics and numerical methods, with applications spanning various realms of science, technology, engineering, and related disciplines, are encouraged and warmly welcomed.

Potential topics include, but are not limited to, the following:

  • Computational mathematics for data science;
  • Applied mathematics in optimization problems;
  • Signal processing and mathematical images;
  • Scientific computing and algorithms;
  • Numerical analysis for problems arising in various fields.

Prof. Dr. Shufei Wu
Prof. Dr. Shou-Fu Tian
Guest Editors

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. Symmetry is an international peer-reviewed open access monthly 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 2400 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

  • computational mathematics for data science
  • applied mathematics in optimization problems
  • signal processing and mathematical images
  • scientific computing and algorithms
  • numerical analysis for problems arising in various fields 

Published Papers (1 paper)

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Research

19 pages, 359 KiB  
Article
A New Adaptive Levenberg–Marquardt Method for Nonlinear Equations and Its Convergence Rate under the Hölderian Local Error Bound Condition
by Yang Han and Shaoping Rui
Symmetry 2024, 16(6), 674; https://0-doi-org.brum.beds.ac.uk/10.3390/sym16060674 (registering DOI) - 30 May 2024
Abstract
The Levenberg–Marquardt (LM) method is one of the most significant methods for solving nonlinear equations as well as symmetric and asymmetric linear equations. To improve the method, this paper proposes a new adaptive LM algorithm by modifying the LM parameter, combining the trust [...] Read more.
The Levenberg–Marquardt (LM) method is one of the most significant methods for solving nonlinear equations as well as symmetric and asymmetric linear equations. To improve the method, this paper proposes a new adaptive LM algorithm by modifying the LM parameter, combining the trust region technique and the non-monotone technique. It is interesting that the new algorithm is constantly optimized by adaptively choosing the LM parameter. To evaluate the effectiveness of the new algorithm, we conduct tests using various examples. To extend the convergence results, we prove the convergence of the new algorithm under the Hölderian local error bound condition rather than the commonly used local error bound condition. Theoretical analysis and numerical results show that the new algorithm is stable and effective. Full article
(This article belongs to the Special Issue Computational Mathematics and Its Applications in Numerical Analysis)

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Ranking of Service Quality Factors for the Chinese Ceramic Product Design Industry using Fuzzy-based MCDM techniques
Authors: Chia-Liang Lin and Bin Sun
Affiliation: Department of Visual Communication Design, Huzhou University

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