Dr. Lei Hsin Kuo

• Position: Assistant Professor
• Department: Mathematics and Statistics
• Office Location: Building 4, Room 438
• lkuo@uwf.edu
• Campus: (850) 474-2790

Biography

Dr. Lei-Hsin Kuo received a Master's degree in Mechanical Engineering from the National Taiwan University of Science and Technology (NTUST) in 2005, and a Ph.D. in computational mathematics from the University of Southern Mississippi (USM) in 2015. For his masters thesis, he worked with simulation techniques which coupled the Finite Element Method (FEM) with Cellular Automata (CA), to model complex physical processes such as phase transition in supercooled liquids.

Specifically, he worked on analyzing the grain lateral growth phenomenon during solidification in processes using Excimer laser annealing (ELA) to produce poly-Si thin films from a-Si. Recently, he extended his interests into developing high accuracy numerical methods to solve PDE problems. Dr. Kuo's research focused on applications of Meshfree methods utilizes Radial Basis Function (RBF) to solve PDE problems. The focus of his research dealt with the development of a new method, Residue-Error Cross Validation (RECV), which requires minimal computational time to solve PDE problems with highly accurate numerical results. The RECV method can be used in multiple applied fields to increase accuracy when modeling multidimensional dynamical systems, and to solve problems dealing with a wide variety of physical phenomena.

Degrees & Institutions

Ph.D. Computational Mathematics, University of Southern Mississippi
M.S.  Mechanical Engineering, National Taiwan University of Science and Technology (NTUST)

Research

For my masters thesis, I worked with simulation techniques which coupled the Finite Element Method (FEM) with Cellular Automata (CA), to model complex physical processes such as phase transition in supercooled liquids. Specifically, I worked on analyzing the grain lateral growth phenomenon during solidification in processes using Excimer laser annealing (ELA) to produce poly-Si thin films from a-Si. Recently, I extended my interests into developing high accuracy numerical methods to solve PDE problems. My research focused on applications of Meshfree methods utilizes Radial Basis Function (RBF) to solve PDE problems. The focus of my research dealt with the development of a new method, Residue-Error Cross Validation (RECV), which requires minimal computational time to solve PDE problems with highly accurate numerical results. The RECV method can be used in multiple applied fields to increase accuracy when modeling multidimensional dynamical systems, and to solve problems dealing with a wide variety of physical phenomena.

Keywords: partial differential equations, calculus, precalculus, algebra, Finite Element Method, Cellular Automata, phase transition, supercooled liquids, grain lateral growth phenomenon, Excimer laser annealing, high accuracy numerical methods, PDE problems, Meshfree methods, Radial Basis Function, RBF