Welcome to the FMATH Group Website

FMATH is a research group of graduate and undergraduate students at Michigan State University, led by Dr. Mohsen Zayernouri. The overarching theme of research in FMATH is to bring to bear advanced computational tools from applied mathematics and data sciences to develop 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 stochastic fractional-order modeling, numerical analysis, computational fluid dynamics, data-driven algorithms and high performance computing.

In FMATH, we conduct fundamental, innovative, and multi-disciplinary research with the following research thrusts (RTs) and engineering applications (EAs):

Funded Developmental Research Thrusts:
- High-Order Numerical Analysis and Scientific Computing
RT2- Uncertainty Quantification (UQ) and Sensitivity Analysis (SA)
RT3- Multi-Scale and Multi-Physics Material Failure Modeling, Analysis, and Prediction
RT4- Physics- and Mathematics-informed Machine Learning

Relevant Funded Engineering Applications:
- Nonlocal Large-Eddy Simulation (LES) Subgrid-Scale Turbulence Modeling
EA2- Anomalous Diffusion and Scalar Transport Modeling (e.g., dislocation avalanche in crystalline materials, diffusion in brain tissues, transport in porous media, and scalar turbulence)
EA3- Stochastic Computational Fluid Dynamics (CFD)
EA4- Anomalous Bio-Materials (e.g., human tissue synthesis, aging and multi-functional bio-materials)

FMATH Gratefully Acknowledges the Financial Support
From the Following Organizations and Agencies: 

Research Areas