## Department / Division

- Faculty-Mathematics

## Title

- Associate 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