Modeling, Computation, Nonlinerarity, Randomness and Waves Seminar

A new reduced order model of linear parabolic PDEs

How to build an accurate reduced order model (ROM) for multidimensional time dependent partial differential equations (PDEs) is quite open. In this talk, we propose a new ROM for linear parabolic PDEs. We prove that our new method can be orders of magnitude faster than standard solvers, and is also much less memory intensive. Under some assumptions on the problem data, we prove that the convergence rates of the new method is the same with standard solvers. Numerical experiments are presented to confirm our theoretical result.

Speaker In-Person!

Place: Math, 402 and Zoom  applied


12:30 p.m. Oct. 6, 2022


Hybrid: Math, 402/Online