Abstract:In this talk, we present sparse grid discontinuous Galerkin (DG) schemes for solving high-dimensional PDEs. The scheme is constructed based on the standard weak form of the DG method and sparse grid finite element spaces built from multiwavelets and is free of curse of dimensionality. The interpolatory multiwavelets are introduced to efficiently deal with the nonlinear terms. This sch...
Meng Lu Peking University# TimeTues., 14:30-15:30Oct. 15, 2024# VenueJingzhai 105#AbstractUnderstanding intelligence has long been a central pursuit in neuroscience, cognitive science, and artificial intelligence. It encompasses complex phenomena such as learning, problem-solving, creativity, and consciousness. While recent advancements in geometric analysis have shed light on the representatio...