My main research interest is the development of Physics-Informed Machine Learning frameworks and their application to several fields, such as Radiative Transfer, Rarefied-gas Dynamics, Nuclear Reactor Dynamics, Chemical Kinetics, Epidemiology, Systems Biology, and Spacecraft Orbit Determination. Below you can find some of my works.



x-tfc

Extreme Theory of Functional Connections

A physics-informed neural network method for solving parametric differential equations.

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radiative transfer

Radiative Transfer

Solutions of Chandrasekhar basic problem in radiative transfer via theory of functional connections.

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rgd

Rarefied-Gas Dynamics

Physics-informed neural networks for rarefied-gas dynamics: Poiseuille, Couette, and thermal creep flows in the BGK approximation.

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stiff chemical kinetics

Stiff Chemical Kinetics

Physics-informed neural networks for stiff chemical kinetics.

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