PrerequisiteMulti-variable Calculus, Basic Partial Differential Equation, Basics of Riemannian Geometry(optional)AbstractThe course introduces hyperbolic partial differential equations and conservation laws from both historical and modern perspectives, focusing on important examples rather than general theory. The classical concepts such as characteristics and Riemann invariant plays an indispe...
PrerequisiteKnowledges on mathematical physics equations, deep neural networks and the Python language.AbstractDifferential equations can describe various natural and social phenomena. The physics-informed neural networks (PINNs), as a deep learning framework, is a powerful and effective way in solving forward and inverse problems involving differential equations. The course will review the pub...