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
Research Description
My research interests lie in the area of applied mathematics, primarily in time integration of partial differential equations (PDEs), numerical analysis and scientific computing. 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