GAUSS Seminar

Speaker: 
William Anderson
Topic: 
RONS: Evolution of nonlinear reduced-order solutions for PDEs with conserved quantities

This week, we will have a talk about reduced-order nonlinear solution! 

We will have cookies! 

Reduced-order models play an important role by allowing us to numerically study complex systems at cheap computational cost. In this talk I will discuss Reduced-order Nonlinear Solutions (RONS), a new framework for reduced-order modeling of PDEs where the solution depends nonlinearly on time-varying variables. We demonstrate the application of RONS on several canonical problems including the nonlinear Schrödinger equation and vortex dynamics in ideal fluids. In all scenarios, RONS accurately approximates true solutions of the underlying PDEs at a low computational cost.


Format: Hybrid

Meeting ID: 968 5104 7768

Password: GAUSS

Event Date: 
February 16, 2022 - 4:30pm to 5:20pm
Location: 
SH 137 and Online (see URL)
Calendar Category: 
Seminar
Seminar Category: 
GAUSS