Nonlinear PDEs and Symmetry

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

Deadline for manuscript submissions: closed (10 June 2022) | Viewed by 2648

Special Issue Editors


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Guest Editor
College of Mathematics and Information Science, Guangxi University, Nanning 530004, China
Interests: optimization theory and methods; non-smooth optimization; statistical analysis; nonlinear equations; compression sensing; image processing; optimization methods in engineering
Special Issues, Collections and Topics in MDPI journals
School of Business, Suzhou University of Science and Technology, Suzhou 215009, China
Interests: fintech

Special Issue Information

Dear Colleagues,

PDEs have a wide application background, such as economic problems, engineering problems, financial models, power systems, etc. Thus, it is interesting work to find good methods for PDE problems. However, effective methods for PDE problems are not easy to design, especially for some complex problems with a practical background. Numerical methods are often used. It well known that machine learning is regarded as one of the effective methods for many problems, especially for some difficult problems. We can ensure that there must exist good relation and some rules by using the idea of the machine learning and its some techniques for nonlinear PDEs and symmetry.

Submit your paper and select the Journal “Symmetry” and the Special Issue “Nonlinear PDEs and Symmetry” via: MDPI submission system. Our papers will be published on a rolling basis and we will be pleased to receive your submission once you have finished it.

Prof. Dr. Gonglin Yuan
Dr. Maojun Zhang
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

  • nonlinear PDEs
  • symmetry
  • machine learning
  • numerical methods
  • convergence

Published Papers (1 paper)

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Research

18 pages, 399 KiB  
Article
A Class of Three-Dimensional Subspace Conjugate Gradient Algorithms for Unconstrained Optimization
by Jun Huo, Jielan Yang, Guoxin Wang and Shengwei Yao
Symmetry 2022, 14(1), 80; https://0-doi-org.brum.beds.ac.uk/10.3390/sym14010080 - 05 Jan 2022
Cited by 2 | Viewed by 1156
Abstract
In this paper, a three-parameter subspace conjugate gradient method is proposed for solving large-scale unconstrained optimization problems. By minimizing the quadratic approximate model of the objective function on a new special three-dimensional subspace, the embedded parameters are determined and the corresponding algorithm is [...] Read more.
In this paper, a three-parameter subspace conjugate gradient method is proposed for solving large-scale unconstrained optimization problems. By minimizing the quadratic approximate model of the objective function on a new special three-dimensional subspace, the embedded parameters are determined and the corresponding algorithm is obtained. The global convergence result of a given method for general nonlinear functions is established under mild assumptions. In numerical experiments, the proposed algorithm is compared with SMCG_NLS and SMCG_Conic, which shows that the given algorithm is robust and efficient. Full article
(This article belongs to the Special Issue Nonlinear PDEs and Symmetry)
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