Publications by Alfio Quarteroni

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We propose a new, black-box online stabilization strategy for reduced basis (RB) approximations of parameter-dependent advection-diffusion problems in the advection-dominated case. Our goal is to stabilize the RB problem irrespectively of the stabilization ...

Ce livre constitue une introduction au Calcul Scientifique. Son objectif est de présenter des méthodes numériques permettant de résoudre avec un ordinateur certains problèmes mathématiques qui ne peuvent être traités simplement avec un papier et un crayon. Les questions classiques du Calcul Scientifique sont abordées: la recherche des zéros ou le calcul d'intégrales de fonctions continues, la résolution de systèmes linéaires, l'approximation de fonctions par des polynômes, la résolution approchée d'équation

Ce livre a pour but de présenter les fondements théoriques et méthodologiques de l'analyse numérique. Une attention toute particulière est portée sur les concepts de stabilité, précision et complexité des algorithmes. Les méthodes modernes relatives aux thèmes suivants sont presentées et analysées en détail : résolution des systèmes lineaires et non linéaires, approximation polynomiale, optimisation, intégration numérique, polynômes orthogonaux, transformations rapides, équations différentielles ordinaires.

In this note we review some classical algorithms for fluid-structure interaction problems and we propose an alternative viewpoint mutuated from the domain decomposition theory. This approach yields preconditioned Richardson iterations on the Steklov-Poinca ...

The complex phenomena underlying mechanical contraction of cardiac cells and their influence in the dynamics of ventricular contraction are extremely important in understanding the overall function of the heart. In this paper we generalize previous contrib ...

Alfio Quarteroni

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An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

Calcul Scientifique

Hydrodynamic stress in orbitally shaken bioreactors

Méthodes Numériques

A domain decomposition framework for fluid-structure interaction problems

Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics

Cardiovascular mathematics

Méthodes numériques pour le calcul scientifique

Quando la matematica va in barca (in Coppa America)

The circulatory system: from case studies to mathematical modeling

Spectral Methods

Matematica in volo con Solar Impulse

Scientific Computing with MATLAB and Octave, 3rd ed.

Analysis of a domain decomposition method for the coupling of Stokes and Darcy equations

Domain Decomposition Methods for Compressible Flows

From the global cardiovascular hemodynamics down to the local blood motion: preliminary applications of a multiscale approach

Mathematics in the wind

Numerical simulation of the arterial pulse propagation using one-dimensional models

Reduced Basis Methods for Partial Differential Equations. An Introduction

Tecniche a Basi Ridotte per l'Ottimizzazione di Configurazioni di Innesto per Bypass Coronarici