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My general research interests are in applied mathematics,
scientific computing and numerical analysis. My primary research interests
are in the numerical solution of a variety of partial differential equations. Specifically, I work in the areas of computational electromagnetics and computational magnetohydrodynamics which involve the numerical discretization of Maxwell's equations and the magnetic induction equation. I am also working on several problems in mathematical biology,
specifically involving population dynamics, epidemiology and spatial ecology. In all these fields, I am interested in multiscale aspects that arise due to a variety of mechanisms operating at varying spatial and temporal scales. In addition, I am interested in how uncertainty propagates through these systems and studying techniques for quantifying such uncertainty.
Computational Electromagnetics
Grant Funding
- NSF DMS #2012882: Computational and Multi-Scale Methods for Nonlinear Electromagnetic Models in Plasmas and Nanocomposites in collaboration with Drs Nathan Gibson and Pallavi Dhagat, both at Oregon State.
Past Funding
- NSF DMS #1720116 OP: Collaborative Research: Compatible Discretizations for Maxwell Models in Nonlinear Optics in collaboration with Drs Yingda Cheng at Michigan State and Fengyan Li at RPI.
- PI, NSF-COMPUTATIONAL MATHEMATICS :
Time Domain Numerical Methods
for Electromagnetic Wave Propagation Problems in Complex Dispersive
Dielectrics.
09/15/2008--08/31/2013.
Students Supported: Aubrey Leung (REU, 2010, BS Thesis 2011), Anna Kirk (MS Thesis 2011), Olivia Keefer (MS Thesis 2012), Duncan McGregor (MS 2013, PhD 2016).
Mathematical Biology and Epidemiology
Past Grant Funding
- Co-PI, Mathematical epidemiology of viruses coinfecting plants: Modeling, Analysis and Optimal Control Strategies, funded by the Thomas Jefferson Fund launched by the French-American Cultural Exchange (FACE) Foundation Along with French collaborator and co-PI, Professor Frederic Hamelin of Agrocampus Ouest in Rennes, France, this project will study coinfection in viral plant epidemics. We are also worrking on Optimal Control of Stochastic Epidemics, which was partly funded by the College of Science Research and Innovation Seed (SciRIS-II). Ee address the modeling of coinfecting viruses in plants. Our goals are to use stochastic models and optimal control theory to understand the mechanisms that drive patterns of coinfection in plant populations and the effective techniques that can control spread of disease.
- Co-PI, NSF-MATHEMATICAL BIOLOGY :
Residence and First Passage Time Functionals in Heterogeneous Ecological Dispersion
Edward Waymire (PI), Nathan Gibson (Co-PI), Enrique Thomann (Co-PI) and Brian Wood (Co-PI).
09/15/11--08/31/14.
- Co-PI, NSF-MATHEMATICAL GEOSCIENCES, OPPORTUNITIES FOR RESEARCH CMG :
Mathematical and Experimental Analysis of Reactive
Transport in Discontinuous Porous Media.
Brian Wood (PI),
Enrique Thomann (Co-PI), Edward Waymire (Co-PI) and Dorthe Wildenschild
(Co-PI).
09/01/07--08/31/11.
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Links:
Dr. Bokil's Departmental Homepage
Department of Mathematics Events
Department of Mathematics
Oregon State University
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