
Jean-Luc Guermond
· Professor and Mobil Chair in Computational ScienceTexas A&M University · Mathematics
Active 2004–2021
About
Jean-Luc Guermond is a Professor of Mathematics at the Department of Mathematics, Texas A&M University. His research interests encompass a broad range of topics in numerical analysis and computational mathematics, including finite element approximation, discontinuous Galerkin methods, and multi-scale approximation techniques such as homogenization. He specializes in the numerical treatment of complex physical systems described by partial differential equations, notably the 3D Navier-Stokes equations, fluid flows, and turbulence phenomena. His work also extends to magneto-hydrodynamics and Maxwell equations, as well as conservation equations, entropy viscosity methods, Hamilton-Jacobi equations, and hyperbolic systems. Guermond's research further involves radiative transport and the development of advanced numerical methods for hyperbolic systems, shock waves, shallow water models, and astrophysical flows. He has secured financial support for PhD students on topics including radiative transport, hyperbolic system approximation, and magnetohydrodynamics, with potential internships at national laboratories such as LLNL, ERDC, LANL, and Sandia. His contributions are characterized by a focus on the mathematical and computational modeling of complex physical phenomena, with applications spanning fluid dynamics, astrophysics, and energy systems.
Research topics
- Computer Science
- Mathematics
- Engineering
- Physics
- Geometry
- Thermodynamics
- Combinatorics
- Applied mathematics
- Structural engineering
- Pure mathematics
Selected publications
Texts in applied mathematics · 2021
Senior authorCorresponding- Computer Science
- Mathematics
- Applied mathematics
Texts in applied mathematics · 2021
Senior authorCorresponding- Computer Science
- Computer Science
- Mathematics
Frequent coauthors
- 8 shared
Alexandre Ern
CERMICS
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