I work in the area of finite volume methods for hyperbolic, parabolic and elliptic PDEs. My main focus for the past several years has been on the development of ForestClaw, a parallel library for adaptive mesh refinement. ForestClaw has numerical algorithms for solving hyperbolic problems using the wave propagation algorithm (R. J. LeVeque, 2002) on logically Carstesian and mapped grids. We are also developing higher order solvers. Applications I have been involved include shallow geophysical flows (e. g. overland flooding, tsunamis), and atmospheric sensing. I am also very interested in high performance computing, performance modeling, and GPU development. See a list of my talks and publications for more details.
2023-present : Professor, Dept. of Mathematics, Boise State University, Boise ID.
2016-2023 : Associate Professor, Dept. of Mathematics, Boise State University, Boise ID.
2011-2016 : Assistant Professor, Dept. of Mathematics, Boise State University, Boise, ID.
2005-2010 : Research Engineer Commissariat l` Ènergie Atomique, DEN/DM2S/SFME/LTMF Saclay, France. Division of Nuclear Energy. Research engineer in computational fluids and mechanics group responsible for modeling hydrogen combustion and multiphase flows. My primary responsibilities include using an adaptive mesh refinement code (ChomboClaw, EBChombo, AMRClaw) to simulate combustion processes.
2004-2005 : Acting Assistant Professor, Dept. of Mathematics, University of Washington, Seattle, WA.
2002 - 2004 : Post-doctoral researcher, Dept. of Applied Mathematics, University of Washington, Seattle, WA.
1999 - 2002 : Post-doctoral researcher, Courant Institute of Mathematical Sciences, New York University, NYC, NY.
1999 : PhD, University of Washington. Advisor : Randall J. LeVeque.