Title: Identifying Differential Equations with Numerical Methods: Time Evolution, Subspace Pursuit and Weak Form
Speaker: Sung Ha Kang, Mathematics, Georgia Institute of Technology
Abstract: We consider identifying differential equation from one set of noisy observation. We assume that the governing equation can be expressed as a linear combination of different linear and nonlinear differential terms. This talk will cover collection of recent work on this topic: starting from numerical time evolution (IDENT), we consider robust identification methods using successively denoised differentiation and subspace pursuit, and consider recovery of kernel for nonlocal potential. We further discuss using weak form for ODE and PDE recovery. Using weak form shows robustness against higher level of noise and higher order derivative in underlying equation.
**Please note, this event will be held in-person, as well as online via Zoom at the following link: https://northwestern.zoom.us/j/98764733111
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