Deep Learning Methods in Mathematical Physics
Speaker: Prof. Ovidiu Calin, Department of Mathematics & Statistics, Eastern Michigan University
Host: S Baskar
Title: Classical PDEs of Mathematical Physics
Time, day and date: 11:30:00 AM – 12:30:00 PM, Thursday, February 26
Venue: Ramanujan Hall
Abstract: This lecture presents neural-network-based methods for solving classical partial differential equations arising in mathematical physics. We consider elliptic, parabolic, and hyperbolic equations, including Poisson and Dirichlet problems, the heat and Schrödinger equations, and wave equations with various boundary conditions. Neural network solutions are compared with classical analytical solutions, highlighting their effectiveness as flexible solvers and their potential for high-dimensional and complex boundary-value problems.