63 citations · 217 across the 29 of their papers we have counts for
34 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 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…
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 $Γ\subset \mathbb{R}…
Properties of IFS attractors with non-empty interiors, related rough domains, and associated function spaces and scattering problems
António Caetano, Simon N. Chandler-Wilde, David P. Hewett
We study fractal sets with non-empty interior , that are attractors of iterated function systems (IFSs) of contracting similarities satisfying the open s…
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 . This…
Kernels of trace operators via fine continuity
Michael Hinz, Simon N. Chandler-Wilde, David P. Hewett
Given a closed subset of that is the support of a measure , we study the kernels of trace operators from fractional Sobolev spaces into…
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…
On Spectral Inclusion Sets and Computing the Spectra and Pseudospectra of Bounded Linear Operators
Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner
In this paper we derive novel families of inclusion sets for the spectrum and pseudospectrum of large classes of bounded linear operators, and establish convergence of particular s…
Integral equation methods for acoustic scattering by fractals
A. M. Caetano, S. N. Chandler-Wilde, X. Claeys +3
We study sound-soft time-harmonic acoustic scattering by general scatterers, including fractal scatterers, in 2D and 3D space. For an arbitrary compact scatterer we reformulate…
Convergent spectral inclusion sets for banded matrices
Simon N. Chandler-Wilde, Ratchanikorn Chonchaiya, Marko Lindner
We obtain sequences of inclusion sets for the spectrum, essential spectrum, and pseudospectrum of banded, in general non-normal, matrices of finite or infinite size. Each inclusion…
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains
Simon N. Chandler-Wilde, Raffael Hagger, Karl-Mikael Perfekt +1
We say that , the boundary of a bounded Lipschitz domain, is locally dilation invariant if, at each , is either locally or locally coincides (in some coordinat…
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens
António M. Caetano, Simon N. Chandler-Wilde, Andrew Gibbs +2
Sound-soft fractal screens can scatter acoustic waves even when they have zero surface measure. To solve such scattering problems we make what appears to be the first application o…
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains
Simon N. Chandler-Wilde, Euan A. Spence
We present new second-kind integral-equation formulations of the interior and exterior Dirichlet problems for Laplace's equation. The operators in these formulations are both conti…
On the half-space matching method for real wavenumber
Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss
The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Pe…
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
Simon N. Chandler-Wilde, Euan A. Spence
It is well known that, with a particular choice of norm, the classical double-layer potential operator has essential norm as an operator on the natural trace space $H^{1…
The Complex-Scaled Half-Space Matching Method
Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss +3
The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Pe…
Computation of the Complex Error Function using Modified Trapezoidal Rules
Mohammad Al Azah, Simon N. Chandler-Wilde
In this paper we propose a method for computing the Faddeeva function via truncated modified trapezoidal rule approximations to integrals on t…
Boundary element methods for acoustic scattering by fractal screens
Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola +1
We study boundary element methods for time-harmonic scattering in () by a fractal planar screen, assumed to be a non-empty bounded subset of the hyperplan…
A high frequency boundary element method for scattering by a class of multiple obstacles
Andrew Gibbs, Simon Chandler-Wilde, Stephen Langdon +1
We propose a boundary element method for problems of time-harmonic acoustic scattering by multiple obstacles in two dimensions, at least one of which is a convex polygon. By combin…
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis
Simon N. Chandler-Wilde, Euan A. Spence, Andrew Gibbs +1
This paper is concerned with resolvent estimates on the real axis for the Helmholtz equation posed in the exterior of a bounded obstacle with Dirichlet boundary conditions when the…
Well-posed PDE and integral equation formulations for scattering by fractal screens
Simon N. Chandler-Wilde, David P. Hewett
We consider time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens embedded in for or . In contrast to previo…
Sobolev spaces on non-Lipschitz subsets of with application to boundary integral equations on fractal screens
Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola
We study properties of the classical fractional Sobolev spaces (or Bessel potential spaces) on non-Lipschitz subsets of . We investigate the extent to which the prope…
Coburn's Lemma and the Finite Section Method for Random Jacobi Operators
Simon N. Chandler-Wilde, Marko Lindner
We study the spectra and pseudospectra of finite and infinite tridiagonal random matrices, in the case where each of the diagonals varies over a separate compact set, say $U,V,W\su…
Acoustic scattering: high frequency boundary element methods and unified transform methods
Simon N. Chandler-Wilde, Stephen Langdon
We describe some recent advances in the numerical solution of acoustic scattering problems. A major focus of the paper is the efficient solution of high frequency scattering proble…