YoVDO

Conservative Adaptive Rank Integrators for Nonlinear Kinetic Models

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Tags

Numerical Methods Courses Partial Differential Equations Courses Computational Physics Courses Fokker Planck Equation Courses Tensor Networks Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
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.

Syllabus

Jingmei Qiu - Conservative Adaptive Rank Integrators for Nonlinear Kinetic Models - IPAM at UCLA


Taught by

Institute for Pure & Applied Mathematics (IPAM)

Related Courses

Differential Equations in Action
Udacity
Dynamical Modeling Methods for Systems Biology
Icahn School of Medicine at Mount Sinai via Coursera
An Introduction to Functional Analysis
École Centrale Paris via Coursera
Practical Numerical Methods with Python
George Washington University via Independent
The Finite Element Method for Problems in Physics
University of Michigan via Coursera