Nathan Louis Gibson Professor Department of Mathematics Kidder Hall 368 Oregon State University Corvallis, Oregon 97331-4605 USA (541) 737-4894 (Voice) (541) 737-0517 (Fax)

Teaching MTH 451/551-010 Fall 24 MTH 351-010 Winter 24 Archive Communications Publications Presentations Academic Advising Advising Info

Background

Professor Gibson received his Ph.D. in Computational Mathematics from North Carolina State University in 2004 under the direction of Professor H. T. Banks (Math Genealogy). Previously, he obtained a Master's Degree in Applied Mathematics with Concentrations in Numerical Analysis and Mathematical Modeling at the University of Tennessee, Knoxville, in August of 2001, and a Bachelor's Degree in Mathematics with a Concentration in Computational and Applied Analysis and a minor in Computer Science from Worcester Polytechnic Institute in Worcester, MA, in August of 1998. Before coming to Oregon State University, he was an NIA (National Institute for Aerospace) postdoctoral research fellow at the CRSC (Center for Research in Scientific Computation) working with engineers from NASA Langley. More information can be seen on his curriculum vitae.

Research

Currently, Professor Gibson is investigating electromagnetic interrogation of dispersive and scattering media, including biological tissue, foam, powders, and wet soil. His primary research interests are

• computational electromagnetics
• finite element and finite difference methods
• inverse problems

• parameter identification and sensitivity analysis
• optimal control and optimization
• random ODE's and PDE's
• uncertainty quantification techniques
• homogenization

• modeling electromagnetic material heterogeneities
• high fidelity defect (cancer) detection
• optimal decision making under uncertainty