Project Description
The student researchers will study and analyze novel and engaging topics such as numerical simulations for fractional and stochastic partial differential equations (PDEs), modeling the spread of diseases, modeling the accumulation of toxins causing Alzheimer’s disease, and modeling collective group behavior. As a second objective, solutions of the PDEs will be rendered as the data used for training and testing the neural networks. At the end, students will learn how to apply the produced neural networks to actual data. Students will also produce predictive models and compare their outcomes to simulations of the actual models of the dynamical processes