Mustafa A. Mohamad

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About

I'm a postdoctoral research fellow at the Courant Institute of Mathematical Sciences. Formerly, I was a research assistant at the Massachusetts Institute of Technology, where I completed my S.M. and Ph.D. degrees in Mechanical Engineering and Computation. Before then, I was an undergraduate student at the University of Illinois at Urbana-Champaign where I received my B.Sc. in Engineering Mechanics and a minor in Mathematics.

Curriculum Vitae

Contact

Feel free to reach out to me via email: mus-m at outlook.com

Research & Work

My research expertise lies at the intersection of computational mathematics, stochastic modelling, dynamical systems, machine learning, and data assimilation. More generally, my work focuses on uncertainty quantification.

I have worked on efficient methods to quantify extreme events (bursting phenomena) in physical systems. This research involved developing new strategies by blending ideas from probability and dynamical systems theory. The most recent angle of this work involved utilizing Gaussian process regression and techniques from machine learning to develop efficient sampling algorithms that target heavy-tailed statistics.

Recently, my work is centered around data assimilation and Bayesian parameter estimation methods using noisy continuous measurements for the prediction of particles in dynamic environments and the statistical properties of the fields generating such motions, for high dimensional systems.

I also enjoy contributing to open source software; in particular the Julia language and packages in the Julia ecosystem. My projects and contributions are available on Github.

Publications

Most of my journal publications should be available on Google Scholar and arXiv. You may also contact me via email for preprints.

Journal Publications

  1. M. A. Mohamad, A. J. Majda, Eulerian and Lagrangian statistics in an exactly solvable turbulent shear model with a random background mean, submitted (2019). [pdf]
  2. M. A. Mohamad, A. J. Majda, Recovering the Eulerian energy spectrum from noisy Lagrangian tracers, submitted (2019). [pdf]
  3. M. A. Mohamad, T. P. Sapsis, A sequential sampling strategy for extreme event statistics in nonlinear dynamical systems, Proceedings of the National Academy of Sciences, 115, p. 11138-11143, Oct 2018. [pdf] [supporting information]
  4. H. K. Joo, M. A. Mohamad, T. P. Sapsis, Heavy-tailed response of structural systems subjected to extreme forcing events, ASME Journal of Computational and Nonlinear Dynamics, Volume 13 (9), 090914, Jul 2018. [pdf]
  5. H. K. Joo, M. A. Mohamad, T. P. Sapsis, Extreme events and their optimal mitigation in nonlinear structural systems excited by stochastic loads: Application to ocean engineering systems, Ocean Engineering, Volume 142, pp. 145-160, Sept 2017. [pdf]
  6. M. A. Mohamad, W. Cousins, T. P. Sapsis, A probabilistic decomposition-synthesis method for the quantification of rare events due to internal instabilities, Journal of Computational Physics, Volume 322, pp. 288-308, Oct 2016. [pdf]
  7. M. A. Mohamad, T. P. Sapsis, Probabilistic response and rare events in Mathieu's equation under correlated parametric excitation, Journal of Ocean Engineering, Volume 120, pp. 289-297, Jul. 2016. [pdf]
  8. M. A. Mohamad, T. P. Sapsis, Probabilistic description of extreme events in intermittently unstable systems excited by correlated stochastic processes, SIAM/ASA Journal on Uncertainty Quantification, Volume 3 (1), pp. 709-736, Aug 2015. [pdf]

Conference Publications

  1. M. A. Mohamad, T. P. Sapsis, Efficient sampling for extreme event statistics of the wave loads on an offshore platform, The 30th American Towing Tank Conference, West Bethesda, Maryland, Oct 2017.
  2. T. P. Sapsis, M. A. Mohamad, Probabilistic quantification of extreme events in complex systems, 9th European Nonlinear Dynamics Conference, Budapest, Hungary, Jun 2017.
  3. T. P. Sapsis, M. A. Mohamad, H. K. Joo, Extreme response mitigation of stochastically forced nonlinear structures, 9th European Nonlinear Dynamics Conference, Budapest, Hungary, Jun 2017.
  4. M. A. Mohamad, T. P. Sapsis, Probabilistic response of Mathieu equation excited by correlated parametric excitation, Proceedings of STAB 2015, Glasgow, UK, Jun 2015.
  5. M. A. Mohamad, T. P. Sapsis, Analytical approximation of the heavy-tail structure for intermittently unstable complex modes, Proceedings of the Dynamic Data Driven Environmental Systems Science Conference, Cambridge, Massachusetts, Nov 2014.

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