Mathematics

Professor Bokil's general research interests are in applied mathematics, scientific computing, numerical analysis and mathematical biology. Her primary research interests are in the numerical solution of wave propagation problems. Specifically, she has conducted research on the numerical solution of Maxwell's equations using finite difference and finite element methods. Bokil is also working on several problems in mathematical ecology which involve the construction and analyses of  deterministic and stochastic models for applications in population dynamics, epidemiology and spatial ecology.

Dr. Bokil is currently a co-PI on an NSF funded project 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. The objective of the collaborative research program is to make significant advances in the understanding and simulations of Maxwell models in nonlinear optics.

In the past, Dr. Bokil was a co-PI on the DOE-NETL funded project Applying Computational Methods to Determine the Electric Current Densities in a Magnetohydrodynamic Generator channel from the External Magnetic Flux Density Measurements,and a co-PI on the NSF-DMS project Residence and First Passage Time Functionals in Heterogeneous Ecological Dispersion.

Dr. Bokil was also PI on the NSF-DMS funded project Time Domain Numerical Methods for Electromagnetic Wave Propagation Problems in Complex Dispersive Dielectrics and a Co-PI on the NSF-CMG funded project, Mathematical and Experimental Analysis of Reactive Transport in Discontinuous Porous Media.