Sydney Dynamics Group: Burns -- Flexible spectral methods and high-level programming for PDEs

Dear All, 

This week, Thursday February 13, Keaton Burns (MIT) will give a talk at USyd
in Carslaw 175 (note unusual time and place), at 4pm on 

Title: Flexible spectral methods and high-level programming for PDEs 

Abstract: 
The large-scale numerical solution of PDEs is an essential part of scientific
research.  Decades of work have been put into developing fast numerical schemes for
specific equations, but computational research in many fields is still largely
software-limited.  Here we will discuss how algorithmic flexibility and composability
can enable new science, as illustrated by the Dedalus Project.  Dedalus is an
open-source Python framework that automates the solution of general PDEs using spectral
methods.  High-level abstractions allow users to symbolically specify equations,
parallelize and scale their solvers to thousands of cores, and perform arbitrary
analysis with the computed solutions.  These features are enabling us to perform novel
simulations of astrophysical, geophysical, and biological fluids with modern
mathematical techniques.  We will discuss applications using new bases for tensor-valued
equations in spherical domains, immersed boundary methods for multiphase flows, and
multi-domain simulations interfacing Dedalus with other PDE and integral equation
solvers.  

Hope to see you all there, Lachlan