Talk by Catherine Drysdale
On July 9th, 2024, Catherine Drysdale (University of Birmingham, UK) gave a talk about "Computing Spectra of Infinite-dimensional operators - what do we need?" as part of the research seminar Analysis of the FernUniversität in Hagen. This lecture is partially supported by the COST action Mathematical models for interacting dynamics on networks.
Abstract
Show Abstract
In this talk, I look at three examples regarding the numerical computation of spectra for infinite-dimensional non-self-adjoint operators. Two conditions are need to compute the spectrum of operators in one limit. Namely, knowledge of how the operator acts on vectors and also how the resolvent norm behaves near the spectrum. We will explore examples that illustrate the two conditions and how we can overcome them in certain contexts. These include the imaginary cubic oscillator, the non-self-adjoint Ginzburg-Landau equation and a convection-diffusion equation assosciated with fluid rotating in a cylinder.
