- Series
- School of Mathematics Colloquium
- Time
- Thursday, August 22, 2024 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- William Layton – University of Pittsburgh – https://www.mathematics.pitt.edu/people/ant-73
- Organizer
- Alex Dunn, Xiaoyu He, Rose McCarty, Dmitrii Ostrovskii, and Wei Zhu
Over the last 40 years there have been great advances in computer hardware, solvers (methods for solving Ax=b and F(x)=0), meshing algorithms, time stepping methods, adaptivity and so on. Yet accurate prediction of fluid motion (for settings where this is needed) is still elusive. This talk will review three major hurdles that remain: ensemble simulations, time accuracy and model stagnation. Three recent ideas where numerical analysis can help push forward the boundary between what can be done and what can't be done will be described. This talk is based on joint work with many. It should be completely understandable by grad students with a basic PDE class.