Department / Division
- Faculty-Mathematics
Title
- Assistant Professor of Mathematics
Contact
Email: luan@math.msstate.edu
Phone: 662-325-7162
Address
- Allen Hall 458
Research interests: Time integration of PDEs, Numerical analysis and scientific computing, Computational and applied mathematics, Meteorological/Numerical weather prediction models, Visual computing (elastodynamic models), Multirate methods for multi-physic PDEs, Geometric numerical integration, Mesh-free methods using RBFs
Author Profile on Google Scholar
Editorial positions:
- Associate Editor: Advances in Applied Mathematics and Mechanics (since 01/2024)
- Managing Guest Editor: Journal of Computational and Applied Mathematics (07/2022 - 01/2024)
Math Seminar/Colloquium:
Since Fall 2021, I have served as the organizer of the Math Seminar/Colloquium series at MSU.
Research description:
My research interests lie in the area of numerical analysis and computational and applied mathematics, primarily in time integration of partial differential equations (PDEs). A large portion of my research has been devoted to the construction, analysis, and implementation of fast, robust and accurate numerical methods for the time integration of multi-physics, multi-rate PDEs arising in engineering and natural sciences. Currently, I am also developing new numerical techniques for meteorology, numerical weather prediction, computational fluid dynamics, biological systems, combustion, and real-time simulations of complex systems used in visual computing. I am also interested in geometric numerical integration, splitting methods, and scattered data approximation/interpolation problems using mesh-free methods.
Degree: Ph.D. in Mathematics, 2014, Department of Mathematics, University of Innsbruck, Austria