Advanced Research in Numerical Analysis of Partial Differential Equations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: 1 May 2025 | Viewed by 52
Special Issue Editors
Interests: numerical solution of partial differential equations; numerical linear algebra and scientific computing; computational biology
Interests: asymptotic analysis and computational mathematics; differential equations and dynamical systems; mathematical biology and mathematical statistics; orthogonal polynomials and special functions
Special Issue Information
Dear Colleagues,
The numerical analysis of PDEs is a rich and active field of modern computational and applied mathematics. The steady growth of this field is stimulated by the ever-increasing demands of natural sciences, engineering, and economics, with the aim of providing accurate and reliable approximations to mathematical models involving PDEs, whose exact solutions are either too complicated to determine or are not known to exist. The purpose of this Special Issue is 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.
Topics of interest including, but are not limited to, the following:
Advanced finite difference, finite element, spectral method, and boundary element methods for solving PDEs;
Parallel and distributed computing techniques for large-scale PDE problems;
Numerical optimization and inverse problems in PDEs;
Computational fluid dynamics (CFD) and computational electromagnetics (CEM);
Applications of PDEs in geophysics, materials science, and mathematical biology, etc.;
Software development and implementation for PDE solvers;
Fractional differential equations.
Dr. Zhen Chao
Dr. Xiang-Sheng Wang
Guest Editors
Manuscript Submission Information
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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
- finite element method
- boundary element method
- finite difference method
- parallel computing techniques
- spectral method
- inverse problem
- numerical optimization
- computational fluid dynamics
- multiscale methods
- fractional differential equations
