alexa Don Liu | Louisiana Tech University
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Don Liu

Don Liu Don Liu
Associate Professor
Mathematics & Statistics and Mechanical Engineering
Louisiana Tech University
United States

Don Liu is an Associate Professor in Louisiana Tech University. Ph.D. in Applied Mathematics, Brown University, May 2004 Dissertation: “Spectral Element/Force Coupling Method: Application to Colloidal Micro-devices and Self-Assembled Structures in 3D Domains” Advisor: George E. Karniadakis, Martin R. Maxey M. Sc. in Applied Mathematics, Brown University, May 2000 Advisor: George E. Karniadakis Ph.D. in Computational Engineering Thermophysics, the Institute of Engineering Thermophysics, Chinese Academy of Sciences, July 1998 Dissertation: “Numerical Simulation of Heat Transfer inside a Gas Turbine Blade Trailing Edge and Structure Optimization” Advisor: Wei Zao Gu M. Sc. in Computational Thermophysics, Department of Thermal Engineering, University of Science and Technology Beijing, July 1994 Thesis: “Mathematical Modeling of Heat Transfer in the Process of Continuous Casting Slabs during Transportation and Thermal Insulation” Advisor: Zhong Long Gao B. Sc. in Engineering Thermophysics, Southeast University, May 1991 Major: Thermal Energy Engineering Graduation Project: “Computer Aid Graphing and Teaching in Fluid Dynamics”

Research Interest

Computational Mathematics/Physics, numerical solutions to PDEs; visualization; heat and mass transfer, and energy conversion system; numerical solutions to incompressible and incompressible flows, particulate flows, micro/nano-flows in complex geometries, using spectral/hp element, discontinuous Galerkin finite element, finite volume, spectral, Fourier, finite difference, compact difference, and mesh-free methods High performance parallel and GPU computing in big-data simulation using MPI & OpenMP, CUDA C/C++, C/C++, Fortran, and Matlab Applications of scientific and parallel computing to thermal, mechanical, chemical, coastal, civil, biomedical engineering, geophysics, and microelectromechanical systems in multiscales



High Order Numerical Solutions to Convection Diffusion Equations with Different Approaches
Don Liu and Yifan Wang
Research Article: J Appl Computat Math
DOI: 10.4172/2168-9679.1000208
Spectral Element Simulation of Reaction-Diffusion System in the Neuromuscular Junction
Don Liu, Yifan Wang and Mark A DeCoster
Research Article: J Appl Computat Math 2013, 2: 136
DOI: 10.4172/2168-9679.1000136
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