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Thursday 22 May 2025, 15:00-16:00
Parallelising PDEs using Representation Theory
- 👤 Speaker: Sheehan Olver (Imperial College London)
- 📅 Date & Time: Thursday 22 May 2025, 15:00 - 16:00
- 📍 Venue: Centre for Mathematical Sciences, MR14
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Georg Maierhofer
Abstract
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.
Series This talk is part of the Applied and Computational Analysis series.
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