Record: YesLevel: GraduateLanguage: ChinesePrerequisiteAbstractThis course is a continuation of last semester and will cover the following topics:1) Normal forms of Hamiltonian systems and bifurcation theory;2) Averaging methods of classical perturbation theory;3) KAM stability of Hamiltonian systems;4) Effective stability of nearly integrable systems;5) Numerical stability of symplectic g...
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...