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06/19/2023
Convergent spectral inclusion sets for banded matrices
We obtain sequences of inclusion sets for the spectrum, essential spectr...
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01/28/2023
On the spectrum of the double-layer operator on locally-dilation-invariant Lipschitz domains
We say that Γ, the boundary of a bounded Lipschitz domain, is locally di...
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12/13/2022
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens
Sound-soft fractal screens can scatter acoustic waves even when they hav...
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10/05/2022
Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains
We present new second-kind integral-equation formulations of the interio...
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11/12/2021
On the half-space matching method for real wavenumber
The Half-Space Matching (HSM) method has recently been developed as a ne...
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05/24/2021
Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains
It is well known that, with a particular choice of norm, the classical d...
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12/19/2020
The Complex-Scaled Half-Space Matching Method
The Half-Space Matching (HSM) method has recently been developed as a ne...
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10/12/2020
Computation of the Complex Error Function using Modified Trapezoidal Rules
In this paper we propose a method for computing the Faddeeva function w(...
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09/12/2019