Conservative Adaptive Rank Integrators for Nonlinear Kinetic Models

Explore a comprehensive lecture on conservative adaptive rank integrators for nonlinear kinetic models presented by Jingmei Qiu from the University of Delaware at IPAM's Tensor Networks Workshop. Delve into an overview of low rank time integrators for time-dependent PDEs, covering explicit schemes involving time stepping and SVD truncation procedures applied to Vlasov equations. Examine two implicit schemes: the Reduced Augmentation Implicit Low rank (RAIL) scheme and a Krylov subspace low rank scheme, with applications to heat and Fokker-Planck equations. Investigate implicit-explicit low rank integrators for advection-diffusion equations. Gain valuable insights into advanced numerical methods for solving complex kinetic models in this 49-minute presentation recorded on February 7, 2024, at the Institute for Pure & Applied Mathematics (IPAM) at UCLA.