Recent Developments in Numerical Methods for Partial Differential Equations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 31 July 2025 | Viewed by 800
Special Issue Editor
Interests: applied mathematics; numerical methods; partial differential equations; finite element methods; high performance computing; computational fluid dynamics; financial engineering
Special Issue Information
Dear Colleagues,
The time has come to survey the recent developments in the mathematical and practical aspects of analytical and scientific computing for partial differential equations. As such, we welcome your publications for this Special Issue, “Recent Developments in Numerical Methods for Partial Differential Equations”.
The Issue focuses on the numerical analysis of PDEs, numerical methods for nonlinear or large-scale problems and systems, and computational techniques, including sparse linear solvers, hierarchical methods, and domain decomposition methods. We are also interested in contributions on implementation tools, programming languages, and libraries. etc. Finally, artificial intelligence is rapidly becoming an impressive acceleration tool for PDE solvers.
Applications are numerous in physics, engineering, and quantitative finance, amongst other areas. However, applications without algorithmic innovation are not the primary focus of this Special Issue, as other Special Issues already address areas like fluid dynamics and computational physics.
Thank you for your support and interest in contributing to this Special Issue.
Prof. Dr. Olivier Pironneau
Guest Editor
Manuscript Submission Information
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Keywords
- numerical analysis
- scientific computing
- numerical methods
- high-performance computing
- partial differential equations
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