Parallelising PDEs using Representation Theory

If a partial differential operator commutes with a symmetry group (permutations, rotations, reflections, etc.) then it can be decoupled by discretising with a so-called symmetry-adapted basis built from irreducible representations, the basic building blocks of representation theory. In this talk we explore this phenomena using symmetry-adapted multivariate orthogonal polynomials to discretise Schrödinger equations with potentials invariant under permutations or the octohedral symmetry group for the cube.

• Speaker: Sheehan Olver (Imperial College London)
• Thursday 22 May 2025, 15:00–16:00
• Venue: Centre for Mathematical Sciences, MR14.
• Series: Applied and Computational Analysis; organiser: Georg Maierhofer.