Research Interests of Professor Prakash Vedula

• Quantum computing; quantum information processing

• Computational modeling and fundamental studies of complex flows (including turbulent flows, nonequilibrium flows, granular flows, multiphase flows, hypersonic flows, microscale flows); kinetic theory; aero-optics

• Reduced order modeling of dynamical systems; optimal prediction; spatiotemporal statistical modeling; Lie symmetries; canonical quantization

• Stochastic modeling of systems with uncertainties in parameters, processes and/or measurements (relevant to uncertainty quantification, nonlinear state estimation, control and multisensor information fusion); path integrals; cointegration; complex systems; AI/ML; signal/image processing