Research

Ongoing Projects

PhILMS: Phyiscs-Informed Learning Machines – DOE/PNNL

Hidden Fluid Mechanics – (with JHU) DARPA/AIRA

DeepM&Mnet– (with JHU) DARPA/CompMods

AFOSR/MURI  — Go to webpage

AFOSR Computational Mathematics

NIH/Yale

Fractional PDEs for conservation laws and beyond: Theory, Numerics and applications – Army/MURI 

Alliance for the Computationally-guided design of energy efficient electronic materials  (CDE3M) – ARL

Scalable Framework for hierarchical design and planning under uncertainty with application to marine vehicles – DARPA/SNWSC

Completed Projects

Multiscale Modeling of Sickle Cell Anemia: Methods and Validation – NIH

New evolution equations to the joint response excitation  PDF for stochastic modeling: Theory and numerical methods – NSF

Multiscale, multiphysics model of thrombus biomechanics in aortic dissection – NIH

Collaboratory on mathematics for mesocopic modeling of materials (CM4) –DOE/PNNL – SUMMARY/ABSTRACT

Numerical methods for propagating uncertainty across scales and for hybrid stochastic-deterministic systems – ARO