Room 2-449 (unless otherwise noted)
Wednesday 4:30 PM - 5:30 PM (unless otherwise noted)
The NMPDE seminar covers numerical and data-driven methods for solving differential equations and modeling physical systems. To receive seminar announcements and zoom links, please write to mjwang79@mit.edu.
Oct 22(4:30pm in 2-190): Sheehan Olver (Imperial)
Numerical Analysis Meets Representation Theory
Representation theory tells us the ways symmetry can present itself, and building that information into discretisations of PDEs leads to trivial parallelisation with a substantial decrease in degrees of freedom. We will give a brief introduction to representation theory (for non-experts!), see how numerical linear algebra allows it to be used in a computationally efficient manner, and incorporate it into the construction of symmetry-adapted polynomial bases that enable parallelisation. Applications include Maxwell’s equation in balls and cylinders and Schrödinger equation with multiple particles, where building in symmetry enables fast sparse spectral methods for PDEs in as many as 10 dimensions.
