Generalized averaged Gaussian quadrature and applications

A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described

Problèmes inverses d'hémodynamique. Estimation rapide des flux sanguins à partir de données médicales

This thesis presents a work at the interface between applied mathematics and biomedical engineering. The work’s main subject is the estimation of blood flows and quantities of medical interest in diagnosing certain diseases concerning the cardiovascular system. We propose a complete pipeline, providing the theoretical foundations for state estimation from medical data using reduced-order models, and addressing inter-patient variability. Extensive numerical tests are shown in realistic 3D scenarios that verify the potential impact of the work in the medical comunnity.Cette thèse présente un travail à l’interface entre les mathématiques appliquées et l’ingénierie biomedicale. Le sujet principal en est l’estimation des écoulements sanguins et de quantités d’intérêt pour le diagnostic de certaines maladies cardiovasculaires. Nous proposons une procédure complète, dont nous détaillons les fondements théoriques, permettant l’estimation d’état à partir de données médicales en utilisant des techniques de réduction de modèle, et en prenant en compte la problématique de la variabilité inter-patients. De nombreux test numériques en 3D sont exposés afin de vérifier le potentiel de cette étude dans le domaine médical

Subharmonic Venture

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Proceedings of the 10th International Chemical and Biological Engineering Conference - CHEMPOR 2008

This volume contains full papers presented at the 10th International Chemical and Biological Engineering Conference - CHEMPOR 2008, held in Braga, Portugal, between September 4th and 6th, 2008.FC