My current research interests are in finite-volume methods for solving hyperbolic, parabolic and elliptic PDEs in complex geometry. In particular, I am interested in methods for structured quadrilateral and hexahedral meshes, uniform Cartesian cut-cell (embedded geometry) methods, adapative mesh refinement methods and numerical methods for solving PDEs on non-Euclidean surfaces.
Application areas in which I have been involved include modeling of combustion processes, pattern formation in biology, crystal growth, and modeling of atmospheric flows on the sphere.
Links of particular interest
- GEMRES : Gem State Research Alliance in Computational Science and Modeling (http://www.gemres.org)
- A list of available software packages for solving PDEs on logically Cartesian, block-structured adaptive meshes (amr_software)
- ForestClaw : A block-structured approach to AMR using a forest of octrees http://www.forestclaw.org
More details on my research interests
|Fall 2012||Visiting Fellow, The Isaac Newton Institute (Cambridge, UK) in the program "Multiscale Numerics for the Ocean and Atmosphere".|
|2011 - present||Assistant Professor, Department of Mathematics, Boise State University, Boise, ID.|
|2005 - 2010||Research Scientist at the Commissariat a l'Energie Atomique, Centre de Saclay, France.|
|2004 - 2005||Acting Assistant Professor, Dept. of Mathematics, Univ. of Washington, Seattle, WA.|
|2002 - 2005||Post-doc, Dept. of Applied Mathematics, Univ. of Washington, Seattle, WA.|
|1999 - 2002||Post-doc, Courant Institute of Mathematical Sciences, NYU, New York, NY.|
|1999||PhD, Univ. of Washington, Seattle, WA. Supervisor : Randall J. LeVeque. Title : "A Cartesian grid method for solving the streamfunction-vorticity equations in irregular geometries"|
Selected list of publications
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