Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering

SN Chandler-Wilde, IG Graham, S Langdon… - Acta …, 2012‏ - cambridge.org
In this article we describe recent progress on the design, analysis and implementation of
hybrid numerical-asymptotic boundary integral methods for boundary value problems for the …

Mathematical study of scattering resonances

M Zworski - Bulletin of Mathematical Sciences, 2017‏ - Springer
Mathematical study of scattering resonances | Bulletin of Mathematical Sciences Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

Pseudospectra of semi-classical (pseudo) differential operators

N Dencker, J Sjöstrand, M Zworski - arxiv preprint math/0301242, 2003‏ - arxiv.org
arxiv:math/0301242v1 [math.AP] 21 Jan 2003 Page 1 arxiv:math/0301242v1 [math.AP] 21
Jan 2003 ШЫ Э ЧЫШ ЬЪ Ч Ы ХСЙ Ф ЫЫС Ф ДШЫ Э ЧЕ С Ъ ЦЬС Ф ЧШ Ъ ЬЧЪЫ ЦСФЫ …

On pointwise decay of waves

W Schlag - Journal of Mathematical Physics, 2021‏ - pubs.aip.org
This paper introduces some of the basic mechanisms relating the behavior of the spectral
measure of Schrödinger operators near zero energy to the long-term decay and dispersion …

Defect modes for dislocated periodic media

A Drouot, CL Fefferman, MI Weinstein - Communications in Mathematical …, 2020‏ - Springer
We study defect modes in a one-dimensional periodic medium perturbed by an adiabatic
dislocation of amplitude δ ≪ 1 δ≪ 1. If the periodic background admits a Dirac point—a …

Asymptotic distribution of resonances for convex obstacles

J Sjöstrand, M Zworski - 1999‏ - projecteuclid.org
The purpose of this paper is to give asymptotics for the counting function of resonances for
scattering by strictly convex g~-obstacles satisfying a pinched curvature condition. We show …

[PDF][PDF] Lectures on resonances

J Sjöstrand - 2002‏ - sjostrand.perso.math.cnrs.fr
This text is the written version of lectures on resonances given at the Mathematics
department of the Gothenburg University and Chalmers in the Spring semesters of 2000 to …

KAM theorem for Gevrey Hamiltonians

G Popov - Ergodic Theory and Dynamical Systems, 2004‏ - cambridge.org
KAM theorem for Gevrey Hamiltonians Page 1 Ergod. Th. & Dynam. Sys. (2004), 24, 1753–1786
c 2004 Cambridge University Press DOI: 10.1017/S0143385704000458 Printed in the United …