Numerical Analysis of Partial Differential Equations and Their Application
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 15 February 2026 | Viewed by 7
Special Issue Editors
Interests: numerical solutions of partial differential equations; numerical methods of phase field models
Interests: numerical solutions of differential equations; domain decomposition and parallel computing; involving seepage-driven problems; nonlinear thermal coupling problems; phase-field model problems
Special Issue Information
Dear Colleagues,
We are delighted to announce our Special Issue on "Numerical Analysis of Partial Differential Equations and Their Application". This Special Issue aims to contribute to this area by providing a collection of articles that showcase cutting-edge research in the numerical analysis of PDEs, focusing on advanced methodologies, algorithms, and applications.
The scope encompasses many areas, including theory, algorithms, programming, coding, numerical simulation, and novel applications of computational techniques in engineering, science, and related disciplines. Contributions may explore various computational methods within applied mathematics and mechanics, including (but not limited to) finite element methods, finite difference methods, finite volume methods, meshless and particle methods, phase field methods, interpolation, numerical linear algebra, and numerical methods for partial differential equations. The goal is to showcase research that addresses real-world challenges and demonstrates the effectiveness of computational approaches for solving problems across scientific and engineering domains.
Researchers are encouraged to submit papers that include cutting-edge computational methods, novel algorithms, and successful applications in various fields, which will help advance the field of numerical analysis and its impact on scientific research and technological advancements.
Topics of interest include, but are not limited to, the following:
- Computational methods.
- Numerical analysis.
- Phase field methods.
- Finite element methods.
- Finite difference methods.
- Finite volume methods.
- Meshless and particle methods.
- Neural network algorithm.
- Adaptive algorithm.
- Error estimation.
- Convergence analysis.
We look forward to receiving your contributions.
Prof. Dr. Chuanjun Chen
Dr. Jiansong Zhang
Guest Editors
Manuscript Submission Information
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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
- numerical analysis
- phase field methods
- finite element methods
- finite difference methods
- finite volume methods
- neural network algorithm
- adaptive algorithm
- error estimation
- convergence analysis
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