Scientific Computing and Numerical Analysis

Computational mathematics is a fundamental part of science and engineering. Efficient computational methods are needed to enable and use complex scientific models, as well as drive engineering design. Moreover, raw scientific data requires reliable algorithms to process, analyze, and visualize the data. When combined with high performance computing (HPC), computational mathematics can push scientific fields to new levels.

The scientific computing/numerical analysis research group have interests that cover the following areas:

• numerical methods for partial differential equations (PDEs), one of the main modeling tools in science and engineering. Some example applications are mechanics (fluid and solid), electromagnetics, optimal design, fracture, liquid crystals, image processing and digital geometry processing.
• uncertainty quantification (UQ) and stochastic modeling in physical systems. Understanding the effects of randomness in real world applications through approximation and statistical approaches.
• nonlinear optimization theory, algorithms and applications. Examples include nonlinear optimization software, sparse matrix computing, graph partitioning, inverse Problems in medical imaging, and data science.

Research topics in all these areas range from design and analysis of numerical schemes to iterative methods for the discretized problems and their parallel implementations.

Faculty

	Susanne C. Brenner SIAM Fellow, AMS Fellow, AAAS Fellow, AWM Fellow Boyd Professor, PhD The University of Michigan Research interest: Numerical analysis, finite element methods, multigrid methods, domain decomposition methods Office: 212 Lockett Hall Telephone: +1 225 578 1678 Email: brenner@math.lsu.edu Personal Home Page of Susanne C. Brenner
	Li-yeng Sung Professor, PhD State University of New York at Stony Brook Research interest: Partial differential equations, inverse scattering, numerical analysis Office: 208 Lockett Hall Telephone: +1 225 578 1598 Email: sung@math.lsu.edu Personal Home Page of Li-yeng Sung
	Shawn Walker Professor, PhD University of Maryland Research interest: Finite element methods, liquid crystals, geometric evolution, optimal control of PDEs Office: 210 Lockett Hall Office hours: TuTh 1:00pm–2:00pm Telephone: +1 225 578 1603 Email: walker@math.lsu.edu Personal Home Page of Shawn Walker
	Xiaoliang Wan Professor, PhD Brown University Research interest: Stochastic modeling, numerical methods for stochastic PDEs, minimum action method. Office: 226 Lockett Hall Office hours: MW 3:00pm–4:30pm Telephone: +1 225 578 6367 Email: xlwan@math.lsu.edu Personal Home Page of Xiaoliang Wan
	Hongchao Zhang A. K. and Shirley Barton Professor, PhD University of Florida Research interest: Nonlinear optimization and its applications, numerical analysis, numerical linear algebra Office: 220 Lockett Hall Telephone: +1 225 578 1982 Email: hozhang@math.lsu.edu Personal Home Page of Hongchao Zhang

Post-docs