7 papers
Localisation of pseudospectra on discrete groups
Simon N. Chandler-Wilde, Marko Lindner, Christian Seifert
In this paper we generalise two of the methods and corresponding results from our previous paper ``On spectral inclusion sets and computing the spectra and pseudospectra of bounded…
Integral equation methods for scattering by general compact obstacles: wavenumber-explicit estimates
Simon N. Chandler-Wilde, Siavash Sadeghi
There has been significant recent interest in understanding the dependence on the wavenumber, , of boundary integral operators (BIOs), supported on some set $Î\subset \mathbb{R…
Integral Equation Methods for Scattering by Multifractal Obstacles
Simon N. Chandler-Wilde, Gabriel Claret, David P. Hewett +2
Caetano et al. (Proc. R. Soc. A. 481:20230650, 2025) have proposed a formulation for sound-soft acoustic scattering by a compact scatterer O Rn, in which the scattered fi…
The cut-off resolvent can grow arbitrarily fast in obstacle scattering
Simon N. Chandler-Wilde, Siavash Sadeghi
We consider time-harmonic acoustic scattering by a compact sound-soft obstacle () that has connected complement . T…
Properties of IFS attractors with non-empty interiors, related rough domains, and associated function spaces and scattering problems
António Caetano, António Caetano, Simon N. Chandler-Wilde +1
We study fractal sets with non-empty interior , that are attractors of iterated function systems (IFSs) of contracting similarities satisfying the open s…
Gershgorin-Type Spectral Inclusions for Matrices
Simon N. Chandler-Wilde, Marko Lindner
In this paper we derive sequences of Gershgorin-type inclusion sets for the spectra and pseudospectra of finite matrices. In common with previous generalisations of the classical G…