Department of Mathematics and Statistics
University of New Mexico
Albuquerque, NM 87131
Office: Science and Mathematics Learning Center 226
Office Hours in Fall 2023: MW 1:30--3
My areas of research are Applied Analysis and Scientific Computing. Specific problems that I have worked on lately include: the stability of shock and spiral waves; the modeling of ocean circulations for climate studies; the transition from smooth to rough attractors and Lyapunov–type numbers. I am broadly interested in partial differential equations and their numerical approximation.
Most of the applications I have worked on are related to fluids, but a recent interest is a nonlinear Black–Scholes equation in financial mathematics. The Black–Scholes equation is used extensively for option pricing; it becomes nonlinear if one assumes dependence of the volatility on the asset price.
On the Editorial Board of the Following Publications