George Papanicolaou

Josselin Garnier

This multidisciplinary book provides a systematic introduction to the analysis of passive sensor array imaging using ambient noise sources.

Passive Imaging with Ambient Noise

Habib Ammari

Hyeonbae Kang

Abdul Wahab

Hyundae Lee

Elie Bretin

This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and cracks within the context of stability and resolution, and introduces a topological derivative–based imaging framework for detecting elastic inclusions in the time-harmonic regime. For imaging extended elastic inclusions, accurate optimal control methodologies are designed and the effects of uncertainties of the geometric or physical parameters on stability and resolution properties are evaluated. In particular, the book shows how localized damage to a mechanical structure affects its dynamic characteristics, and how measured eigenparameters are linked to elastic inclusion or crack location, orientation, and size. Demonstrating a novel method for identifying, locating, and estimating inclusions and cracks in elastic structures, the book opens possibilities for a mathematical and numerical framework for elasticity imaging of nanoparticles and cellular structures.

Mathematical Methods in Elasticity Imaging

Jacques Sauloy

Jean-Pierre Ramis

André Warusfel

Xavier Buff

Emmanuel Halberstadt

François Moulin

Monique Ramis

Cet ouvrage de référence couvre, en un seul volume, l’ensemble du programme de mathématiques du niveau L1. Il est composé de vingt-deux modules regroupés en cinq thèmes : Notations et vocabulaire, Algèbre, Géométrie, Analyse et enfin Probabilités et Statistiques. Sa présentation permet à l’étudiant, quel que soit son cursus, de s’initier à son rythme aux thèmes figurant à son programme et de conforter ses acquis. L’étudiant dispose des définitions précises et des énoncés et démonstrations des théorèmes essentiels.

Mathématiques Tout-en-un pour la Licence 1 - 4e éd

Josselin Garnier

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