I am currently working in uncertainty quantification for combustion.
My research interests span multiple disciplines in engineering, all classifiable as inverse problems. Mathematical models of dynamical systems must be tuned using observational data for predictive and simulation based decision making purposes. A physical system may be described by a forward model whose purpose is to provide an output/response given a set of parameters and inputs/excitations. The process of tuning such model involves solving the inverse problem of estimating the model inputs and/or parameters from observations (possibly sparse and/or noisy). My recent research focuses on refining the Bayesian approach to tackle ill-posed inverse problems. I rely heavily on utilizing efficient uncertainty quantification techniques and exploiting the state-of-the-art technology of high-performance computing to expedite this process.
I received a Bachelor of Science, majoring in Microbiology and Immunology, and a Bachelor of Engineering, majoring in Electrical and Computer Engineering, from McGill University with distinction. I received a Master of Applied Science degree in Civil Engineering from Carleton University, Ottawa, Canada, in 2006. Recently, I received a PhD degree in Civil Engineering from Carleton University, Ottawa, Canada.
Awards, Honors & Memberships
- Natural Sciences and Engineering Research Council of Canada (NSERC) Visiting Fellowship in Canadian Government Laboratories, 2013 (declined)
- Society for Industrial and Applied Mathematics (SIAM) best presentation award, the 6th Montreal Scientific Computing Days, 2009
- Natural Sciences and Engineering Research Council of Canada (NSERC) Post-Graduate Scholarship, 2006 – 2008
- Society for Industrial and Applied Mathematics (SIAM) best poster award, the 4th Montreal Scientific Computing Days, 2007
- Sun Microsystems of Canada High Performance Computing Scholarship, 2005 – 2006
Selected Publications & Patents
- Khalil, M., Sarkar, A. “Karhunen-Loeve expansion versus independent component analysis for non-Gaussian stochastic processes: application to uncertain systems”. Submitted to the Journal of Sound and Vibration. Manuscript no. JSV-D-13-00598.
- Khalil, M., Poirel, D., and Sarkar, A. “Probabilistic parameter estimation of a fluttering aeroelastic system in the transitional Reynolds number regime”. Journal of Sound and Vibration. 332 (2013), pp. 3670-3691.
- Khalil, M., Sarkar, A., and Adhikari, S. “Tracking noisy limit cycle oscillations with nonlinear filters”. Journal of Sound and Vibration. 329 (2010), pp. 150-170.
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