Advanced Numerical Methods for Differential Equations: Recent Developments, Analysis and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: 31 December 2024 | Viewed by 543
Special Issue Editor
Special Issue Information
Dear Colleagues,
Numerical methods for differential equations are techniques used to approximate the solutions of differential equations that cannot be solved analytically. They are needed in practice since only a few differential equations can be mathematically solved. The goal of this Special Issue is to provide an overview of the recent progress in using numerical methods to solve differential equations. These include finite element methods and their extensions, including discontinuous Galerkin (DG) methods devoted to approximate the solutions for various real-world problems, such as fluid flow, solid mechanics, electromagnetics, and many others, as well as the analysis of these methods including error estimation, superconvergence, and adaptivity. Other topics include the design and analysis of new numerical schemes, as well as novel applications in any branch of engineering and science. While all contributions related to numerical methods are invited, the featured topics include: stability issues, efficient time integration, superconvergence phenomena, a priori and a posteriori error estimations, and mesh adaptivity. Contributions dealing with the applications of numerical methods for porous media flow, incompressible flow, solid mechanics, and elasticity are welcome.
Prof. Dr. Baccouch Mahboub
Guest Editor
Manuscript Submission Information
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Keywords
- numerical methods
- numerical analysis
- scientific computing
- computational mathematics
- applied mathematics
- differential equations
- finite element methods
- applications
