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pro vyhledávání: '"Wilde, Simon"'
In this paper we derive families of Gershgorin-type inclusion sets for the spectra and pseudospectra of finite matrices. In common with previous generalisations of the classical Gershgorin bound for the spectrum, our inclusion sets are based on a blo
Externí odkaz:
http://arxiv.org/abs/2408.03883
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 sequences of these inclusion sets to the spectrum or pseudospectrum, as
Externí odkaz:
http://arxiv.org/abs/2401.03984
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 set is the union of the pseudospectra of certain submatrices of a cho
Externí odkaz:
http://arxiv.org/abs/2306.11138
We say that $\Gamma$, the boundary of a bounded Lipschitz domain, is locally dilation invariant if, at each $x\in \Gamma$, $\Gamma$ is either locally $C^1$ or locally coincides (in some coordinate system centred at $x$) with a Lipschitz graph $\Gamma
Externí odkaz:
http://arxiv.org/abs/2301.12208
Autor:
Caetano, António M., Chandler-Wilde, Simon N., Gibbs, Andrew, Hewett, David P., Moiola, Andrea
Publikováno v:
Numer. Math., 156, 2024, 463-532
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 of the boundary element method (BEM) where each BEM basis function is s
Externí odkaz:
http://arxiv.org/abs/2212.06594
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 continuous and coercive on general Lipschitz domains in $\mathbb{R}^d$, $d\
Externí odkaz:
http://arxiv.org/abs/2210.02432
Publikováno v:
In Computers & Security November 2024 146
