Record: NoLevel: UndergraduateLanguage: ChinesePrerequisiteBasic knowledge on numerical methods for partial differential equations and machine learning methodsAbstractThis course reviews the publications of the recent years on using machine learning methods to solve partial differential equations, such as Physics Informed Neural Network (PINN). The course will cover the materials on forward me...
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...
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