Mohsen Zayernouri

M.Sc., 2006, mechanical engineering, Tehran Polytechnic, Iran
M.S., 2012, applied mathematics, Brown University
Ph.D., 2010, mechanical engineering, University of Utah
Ph.D., 2014, applied mathematics, Brown University

Mohsen Zayernouri is the director of the Fractional Mathematics for Anomalous Transport and Hydromechanics (FMATH) group at MSU. The overarching theme of research in FMATH is to bring to bear advanced computational tools from applied mathematics and data sciences to develop multi-fidelity and predictive simulation tools for challenging engineering problems, including: stochastic Lévy processes in turbulent flows, shock and interface problems in reacting and multi-phase flows, anomalous transport in porous and disordered materials, sub-/super-diffusion processes in the human brain, and complex bio-materials and tissue engineering. The main thrust of research in FMATH is on fractional-order modeling, numerical analysis (FEM, spectral methods, and spectral element methods), computational fluid dynamics, data-driven algorithms for fractional PDEs, stochastic PDEs, and high performance computing.

Zayernouri obtained his M.Sc. in mechanical engineering from Tehran Polytechnic, Iran. Subsequently, he joined the University of Utah, where he acquired his first Ph.D. in mechanical engineering. He then joined Brown University, where he received his second Ph.D. in applied mathematics under Professor George Em Karniadakis. Prior to joining MSU, Zayernouri was a postdoctoral research associate in the Division of Applied Mathematics at Brown University.

•    Numerical Analysis (FEM, spectral & spectral element methods)

•    Nonlocal Continuum Mechanics for Anomalous Transport

•    Stochastic Modeling and Uncertainty Quantification

•    Computational Fluid Dynamics

•    High Performance Computing

M. Zayernouri, E. Kharazmi (2018), "Fractional Pseudo-Spectral Methods for Distributed-Order Fractional PDEs", IJCM, pg. 1-22

M. Zayernouri, M. Ainsworth, G. E. Karniadakis (2015), “Tempered Fractional Sturm--Liouville Eigen-Problems”, SIAM Journal on Scientific Computing, 37(4), A1777-A1800.

M. Zayernouri, M. Ainsworth, and G. E. Karniadakis (2015) “A Unified Petrov-Galerkin Spectral Method for Fractional PDEs”, Computer Methods in Applied Mechanics and Engineering (CMAME), 283 (1), 1545-1569.

M. Zayernouri, and G. E. Karniadakis (2015). "Fractional Spectral Collocation Methods for Linear and Nonlinear Variable Order FPDEs". Journal of Computational Physics, 293, 312-338.

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