Alfio Quarteroni

Nationalité: Italian and Swiss

EPFL SB-DO
CM 1 621 (Centre Midi)
Station 10
1015 Lausanne

Expertise

Analyse numérique, modélisation mathématique, simulations numériques, calcul scientifique

Exploration and comparison of reduced order modelling techniques for parametrized systems

F. Gelsomino

2010

Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations

E. BurmanA. QuarteroniB. Stamm

Journal of Scientific Computing. 2010. DOI : 10.1007/s10915-008-9232-6.

Efficient Solution of Fluid-Structure Interaction Problems in Computational Hemodynamics

A. QuarteroniP. CrosettoS. Deparis

2010. ICNAAM, Numerical Analysis and Applied Mathematics, 2010. p. 15 - 18. DOI : 10.1063/1.3498124.

Scientific Computing with MATLAB and Octave, 3rd ed.

A. QuarteroniF. SaleriP. Gervasio

springer, 2010.

Reduced Basis Method for 3D Problems governed by Parametrized PDEs and Applications

A. Trezzini

2010

Estimateur à posteriori pour l’affinage de maillage dans la méthode des éléments finis

T. Pouchon

2010

Matematica Numerica Esercizi, Laboratori e Progetti

C. D'AngeloA. Quarteroni

Springer, 2010.

Numerical analysis of the Navier-Stokes/Darcy coupling

L. BadeaM. DiscacciatiA. Quarteroni

Numerische Mathematik. 2010. DOI : 10.1007/s00211-009-0279-6.

Calcul Scientifique - Cours, exercices corrigés et illustrations en Matlab et Octave

A. QuarteroniF. SaleriP. Gervasio

Springer, 2010.

Computing upper and lower bounds for linear outputs of elasticity by the smoothed finite element method

Z. XuanT. M. LassilaG. RozzaA. Quarteroni

International Journal For Numerical Methods In Engineering. 2010. DOI : 10.1002/nme.2825.

Reduced basis approximation for parametrized partial differential equations

G. RozzaA. Quarteroni

Numerical Models for Differential Equations; Heildelberg: Springer, 2009. p. 547 - 579.

Mathematics in the wind

A. Quarteroni

why we do Math.

Estimation d'erreur d'une méthode de volumes-éléments finis stabilisée appliquée au problème de Stokes stationnaire et transient

S. Luisier

2009

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

G. Pena / A. Quarteroni (Dir.)

Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4529.

Mathematics in the Wind

D. DetomiN. ParoliniA. Quarteroni

Monografias de La Real Academia de Ciencias de Zaragoza. 2009.

Reduced Basis Method for Parametrized Differential Algebraic Equations

M. D’EliaL. Dede'A. Quarteroni

Boletín de la Sociedad Española de Matemática Aplicada. 2009.

Efficient oxygen transfer by surface aeration in shaken cylindrical containers for mammalian cell cultivation at volumetric scales up to 1,000 liters

X. ZhangC. BürkiM. StettlerD. De SanctisM. Perrone  et al.

Biochemical Engineering Journal. 2009. DOI : 10.1016/j.bej.2009.02.003.

Mathematicals Models in Science and Engineering

A. Quarteroni

ASM Notices. 2009.

Numerical Models for Differential Problems

A. Quarteroni

Heidelberg, DE: Springer, 2009.

MATHKNOW

M. EmmerA. Quarteroni

Heidelberg, DE: Springer, 2009.

Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction

S. BadiaA. QuainiA. Quarteroni

Journal Of Computational Physics. 2009. DOI : 10.1016/j.jcp.2009.07.019.

A 3D/1D geometrical Multiscale Model of the Cerebral Vasculature

T. PasseriniM. De LucaL. FormaggiaA. QuarteroniA. Veneziani

Journal of Engineering Mathematics. 2009. DOI : 10.1007/s10665-009-9281-3.

Navier­Stokes/Darcy coupling: modeling, analysis and numerical approximation

M. DiscacciatiA. Quarteroni

Revista Matematica Complutense. 2009. DOI : 10.5209/rev_REMA.2009.v22.n2.16263.

Cardiovascular Mathematics

L. FormaggiaA. QuarteroniA. Veneziani

Heidelberg, DE: Springer, 2009.

Finite-element preconditioning of G-NI spectral methods

C. CanutoP. GervasioA. Quarteroni

Siam Journal On Scientific Computing. 2009. DOI : 10.1137/090746367.

Algorithms for fluid-structure interaction problems arising in hemodynamics

A. Quaini / A. Quarteroni (Dir.)

Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4290.

A 3D Finite element model for free-­surface flows

C. LeupiE. MiglioM. AltinakarA. QuarteroniM. Deville

Computers and Fluids. 2009. DOI : 10.1016/j.compfluid.2009.05.003.

Introduction a la methode des bases reduites

G. Grandperrin

2008

On the coupling of 1D and 3D Diffusion-Reaction Equations: Application to Tissue Pefusion Problems

C. D'AngeloA. Quarteroni

Mathematical Models and Methods in Applied Sciences. 2008. DOI : 10.1142/S0218202508003108.

Geometrical reconstruction of curves and surfaces using NURBS

S. Rouge

2008

Modellistica Numerica per Problemi Differenziali

A. Quarteroni

Milan, IT: Springer-Italia, 2008.

Reduced basis method for the shape optimization of racing car components

C. Gunther

2008

Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect

S. BadiaA. QuainiA. Quarteroni

Computer Methods in Applied Mechanics and Engineering. 2008. DOI : 10.1016/j.cma.2008.04.018.

Reduced basis method for linear elasticity problems with many parameters

R. MilaniA. QuarteroniG. Rozza

Computer Methods in Applied Mechanics and Engineering. 2008. DOI : 10.1016/j.cma.2008.07.002.

Matematica numerica

A. M. QuarteroniR. SaccoF. Saleri

Milan, IT: Springer-Italia, 2008.

Stabilization strategies for discontinuous Galerkin methods

B. Stamm / A. QuarteroniE. Burman (Dir.)

Lausanne, EPFL, 2008. DOI : 10.5075/epfl-thesis-4135.

Stabilization strategies for high order methods for transport dominated problems

E. BurmanA. QuarteroniB. Stamm

Bollettino U.M.I., Series IX. 2008.

Modelli Matematici, Calcolo Scientifico e Applicazioni

A. Quarteroni

Rendiconti del Seminario Matematico dell’Università e del Politecnico di Torino. 2008.

Splitting methods based on algebraic factorization for fluid-structure interaction

S. BadiaA. QuainiA. Quarteroni

SIAM Journal on Scientific Computing. 2008. DOI : 10.1137/070680497.

Calcolo scientifico

A. QuarteroniF. Saleri

Milan, IT: Springer-Italia, 2008.

CÁLCULO CIENTÍFICO com MATLAB e Octave

A. QuarteroniF. Saleri

Madrid, ES: Springer, 2007.

Interior penalty finite element approximation of Navier-Stokes equations and application to free surface flows

C. Winkelmann / A. Quarteroni (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3971.

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

A. QuarteroniG. Rozza

2007. Un grande matematico dell'800: omaggio a Eugenio Beltrami, Milano. p. 225 - 238.

Modellistica Matematica e Calcolo Scientifico

A. Quarteroni

Enciclopedia della Scienza e della Tecnica (Treccani); Rome: Istituto dell’Enciclopedia Italiana, 2007.

Modeling Of Salt Tectonics

P. MassimiA. QuarteroniF. SaleriG. Scrofani

Computer Methods in Applied Mechanics and Engineering. 2007. DOI : 10.1016/j.cma.2007.08.004.

Modelling and numerical simulation for yacht design

N. ParoliniA. Quarteroni

2007. 26th Symposium on Naval Hydrodynamics, Rome, Italy, 17-22 September 2006.

A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method

A. QuainiA. Quarteroni

Mathematical Models and Methods in Applied Sciences. 2007. DOI : 10.1142/S0218202507002170.

Numerical solution of parametrized Navier-Stokes equations by reduced basis methods

A. QuarteroniG. Rozza

Numerical Methods for Partial Differential Equations. 2007. DOI : 10.1002/num.20249.

Reduced basis methods for optimal control of advection-diffusion problems

A. QuarteroniG. RozzaA. Quaini

2007. Advances in Numerical Mathematics, RAS, Moscow, Russia, 2005. p. 193 - 216.

Multiscale modelling of metabolism and transport phenomena in living tissues

C. D'Angelo / A. Quarteroni (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3803.

Modélisation mathématique et simulation numérique du système cardiovasculaire

F. Gelsomino

2007

Méthode de Galerkin discontinue et algorithme pararéel

M. Rime

2007

Matematica: si parte!

Y. BiollayA. ChaabouniJ. Stubbe

Milan, IT: Springer, 2007.

Numerical Mathematics

A. QuarteroniR. SaccoF. Saleri

Paris, FR: Springer, 2007.

Spectral Methods

C. CanutoM. HussainiA. QuarteroniT. Zang

Heidelberg, DE: Springer, 2007.

Méthodes Numériques

A. QuarteroniR. SaccoF. Saleri

Paris, FR: Springer, 2007.

Lignes de courant de fluides incompressibles

G. Grandperrin

2007

Multilevel preconditioners for elliptic problems with multiple scales

K. Sapelza / A. Quarteroni (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3931.

Une méthode d'éléments finis pour un problème de convection naturelle

S. Quinodoz

2007

Heterogeneous domain decomposition methods for fluid-structure interaction problems

S. DeparisM. DiscacciatiG. FouresteyA. Quarteroni

Domain Decomposition Methods in Science and Engineering XVI; Berlin: Springer, 2007. p. 41 - 52.

Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling

M. DiscacciatiA. QuarteroniA. Valli

SIAM Journal on Numerical Analysis. 2007. DOI : 10.1137/06065091X.

Proofs from THE BOOK

M. AignerG. Ziegler

Milan, IT: Springer-Italia, 2006.

A mathematical approach in the design of arterial bypass using unsteady Stokes equations

V. AgoshkovA. QuarteroniG. Rozza

Journal of Scientific Computing. 2006. DOI : 10.1007/s10915-006-9077-9.

Matematica in volo con Solar Impulse

G. FouresteyN. ParoliniC. Prud'hommeA. QuarteroniG. Rozza

2006. Matematica e Cultura, Venice, Italy, 18-20 March 2005. p. 35 - 48.

The circulatory system: from case studies to mathematical modeling

L. FormaggiaA. QuarteroniA. Veneziani

Complex systems in biomedecine; Springer, 2006. p. 243 - 287.

Metodi a basi ridotte per la risoluzione di problemi parametrizzati in elasticita' lineare

R. Milani

2006

Scientific Computing with MATLAB and Octave

A. QuarteroniF. Saleri

Heidelberg, DE: Springer, 2006.

Cálculo Científico con MATLAB y Octave

A. QuarteroniF. Saleri

Madrid, ES: Springer, 2006.

A domain decomposition framework for fluid-structure interaction problems

S. DeparisM. DiscacciatiA. Quarteroni

2006. p. 41 - 58. DOI : 10.1007/3-540-31801-1_4.

Numerical approximation of a control problem for advection-diffusion processes

A. QuarteroniG. RozzaL. Dede'A. Quaini

System modeling and optimization; Boston: Springer, 2006. p. 261 - 273.

Numerical analysis of fluid dynamics and oxygen diffusion in shaking bioreactors

D. De SanctisM. Perrone

2006

The non-circular shape of FloWatch®-PAB prevents the need for pulmonary artery reconstruction after banding

A. F. CornoM. ProsiP. FridezP. ZuninoA. Quarteroni  et al.

European Journal of Cardio-Thoracic Surgery. 2006. DOI : 10.1016/j.ejcts.2005.10.029.

Modellistica Numerica per Problemi Differenziali (Third. Ed.)

A. Quarteroni

Milan, IT: Springer-Italia, 2006.

Cardiovascular mathematics

A. Quarteroni

2006. International Congress of Mathematicians, Madrid, August 22–30, 2006. p. 479 - 512.

Calcul Scientifique

A. QuarteroniF. Saleri

Paris, FR: Springer, 2006.

Fluid-structure algorithms based on Steklov-Poincaré operators

S. DeparisM. DiscacciatiG. FouresteyA. Quarteroni

Computer Methods in Applied Mechanics and Engineering. 2006. DOI : 10.1016/j.cma.2005.09.029.

Introduzione al Calcolo Scientifico

A. QuarteroniF. Saleri

Milan, IT: Springer-Italia, 2006.

Wissenschaftliches Rechnen mit MATLAB

A. QuarteroniF. Saleri

Heidelberg, DE: Springer, 2006.

Optimal control of mass transfer in peritoneal dialysis

D. Mastalli / A. Quarteroni (Dir.)

Lausanne, EPFL, 2006. DOI : 10.5075/epfl-thesis-3461.

Complex Systems in Biomedicine

A. QuarteroniL. FormaggiaA. Veneziani

Heidelberg, DE: Springer, 2006.

Shape design in aorto-coronaric bypass anastomoses using perturbation theory

V. AgoshkovA. QuarteroniG. Rozza

SIAM Journal on Numerical Analysis. 2006. DOI : 10.1137/040613287.

Spectral Methods

C. CanutoM. HussainiA. QuarteroniT. Zang

Heidelberg, DE: Springer, 2006.

Matematica Numerica (Second Ed.)

A. QuarteroniR. SaccoF. Saleri

Milan, IT: Springer, 2005.

Mathematical models and numerical simulations for the America's Cup

N. ParoliniA. Quarteroni

Computer Methods in Applied Mechanics and Engineering. 2005. DOI : 10.1016/j.cma.2004.06.020.

Metodi a basi ridotte per problemi differenziali di fluidodinamica ambientale

A. Quaini

2005

Résolution numérique d'équations différentielles chaotiques par un algorithme adaptatif

L. Walter

2005

Shape design by optimal flow control and reduced basis techniques : applications to bypass configurations in haemodynamics

G. Rozza / A. Quarteroni (Dir.)

Lausanne, EPFL, 2005. DOI : 10.5075/epfl-thesis-3400.

Optimal control in heterogeneous domain decomposition methods

V. I. AgoshkovP. GervasioA. Quarteroni

Russian Journal of Numerical Analysis and Mathematical Modelling. 2005. DOI : 10.1515/1569398054308603.

Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs

M. A. FernándezV. MilisicA. Quarteroni

Multiscale Modeling and Simulation. 2005. DOI : 10.1137/030602010.

Optimal control and numerical adaptivity for advection-diffusion equations

L. Dede'A. Quarteroni

Mathematical Modelling and Numerical Analysis. 2005. DOI : 10.1051/m2an:2005044.

Mathematical and numerical models for transfer of low-density lipoproteins through the arterial walls: A new methodology for the model set up with applications to the study of disturbed lumenal flow

M. ProsiP. ZuninoK. PerktoldA. Quarteroni

Journal Of Biomechanics. 2005. DOI : 10.1016/j.jbiomech.2004.04.024.

Spectral Methods

C. CanutoA. Quarteroni

Encyclopedia of Computational Mechanics; John Wiley & Sons, 2004.

Quando la matematica va in barca (in Coppa America)

N. ParoliniA. Quarteroni

2004. Matematica e Cultura, Venice, Italy, 28-30 March 2003. p. 207 - 213.

Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations

M. DiscacciatiA. Quarteroni

Computing and Visualization in Science. 2004. DOI : 10.1007/s00791-003-0113-0.

Experimental set-up and numerical simulations of intravenous gas transfer devices

I. Mallabiabarrena Ormaetxea / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-2873.

Controllo ottimale e adattivita' per equazioni alle derivate parziali e applicazioni

L. Dede'

2004

Analysis of lumped parameter models for blood flow simulations and their relation with 1D models

V. MilisicA. Quarteroni

Mathematical Modelling and Numerical Analysis. 2004. DOI : 10.1051/m2an:2004036.

Computational fluid dynamics for naval engineering problems

N. Parolini / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-3138.

Simulazione numerica per la Coppa America di vela

N. ParoliniA. Quarteroni

2004.

Modelli matematici per l'ottimizzazione della dialisi peritoneale

D. MastalliA. QuarteroniP. Zunino

Collezione delle Lezioni del Ciclo "Scienze e tecnologie per lo sviluppo sostenibile della società umana"; Istituto Lombardo di Scienze e Lettere, 2004.

Numerical analysis of axisymmetric flows and methods for fluid-structure interaction arising in blood flow simulation

S. Deparis / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-2965.

Numerical simulation for yacht design

N. ParoliniA. Quarteroni

2004.

One dimensional and multiscale models for blood flow circulation

D. Lamponi / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-3006.

Domain decomposition methods for the coupling of surface and groundwater flows

M. Discacciati / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-3117.

Domain decomposition preconditioners : theoretical properties, application to the compressible Euler equations, parallel aspects

M. Sala / A. Quarteroni (Dir.)

Lausanne, EPFL, 2003. DOI : 10.5075/epfl-thesis-2733.

Coupling of free surface and groundwater flows

E. MiglioA. QuarteroniF. Saleri

Comput. Fluids. 2003. DOI : 10.1016/S0045-7930(01)00102-5.

On parallel computation of blood flow in human arterial network based on 1-D modelling

B. V. R. KumarA. QuarteroniL. FormaggiaD. Lamponi

Computing. 2003. DOI : 10.1007/s00607-003-0025-3.

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

J. PeiroS. J. SherwinK. H. ParkerV. FrankeL. Formaggia  et al.

Wall-Fluid Interactions in Physiological Flows; 2003.

Mathematical modelling and visualisation of complex three-dimensional flows

A. QuarteroniM. SalaM. L. SawleyN. ParoliniG. W. Cowles

2003. p. 361 - 377, 445.

Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations

A. QuarteroniA. Veneziani

Multiscale Modeling and Simulation. 2003. DOI : 10.1137/S1540345902408482.

One-dimensional models for blood flow in arteries

L. FormaggiaD. LamponiA. Quarteroni

Journal of Engineering Mathematics. 2003. DOI : 10.1023/B:ENGI.0000007980.01347.29.

Mathematical Modelling and Numerical Simulation of the Cardiovascular System

A. QuarteroniL. Formaggia

Modelling of Living Systems; 2003.

Optimal control and shape optimization of aorto-coronaric bypass anastomoses

A. QuarteroniG. Rozza

Mathematical Models and Methods in Applied Sciences. 2003. DOI : 10.1142/S0218202503003124.

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

M. DiscacciatiA. Quarteroni

2003. ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications, Ischia, July 2001. p. 3 - 20. DOI : 10.1007/978-88-470-2089-4_1.

A one-dimensional model for blood flow: Application to vascular prosthesis

L. FormaggiaF. NobileA. Quarteroni

2002. p. 137 - 153. DOI : 10.1007/978-3-642-56288-4_10.

Controllo ottimale e ottimizzazione di forma in fluidodinamica numerica

G. Rozza

2002

On the simulation of unsteady flow of an Oldroyd-B fluid by spectral methods

A. LozinskiR. G. OwensA. Quarteroni

Journal of Scientific Computing. 2002. DOI : 10.1023/A:1015185605861.

Mathematical and numerical modeling of mass transfer in the vascular system

P. Zunino / A. Quarteroni (Dir.)

Lausanne, EPFL, 2002. DOI : 10.5075/epfl-thesis-2669.

Numerische Mathematik 1

A. QuarteroniR. SaccoF. Saleri

Berlin, DE: Springer, 2002.

Mathematical modelling of the cardiovascular system

A. Quarteroni

2002. p. 839 - 849.

Mathematical and numerical models for coupling surface and groundwater flows

M. DiscacciatiE. MiglioA. Quarteroni

Applied Numerical Mathematics. 2002. DOI : 10.1016/S0168-9274(02)00125-3.

A domain decomposition method for advection-diffusion processes with application to blood solutes

A. QuarteroniA. VenezianiP. Zunino

SIAM Journal on Scientific Computing. 2002. DOI : 10.1137/S1064827500375722.

Numerische Mathematik 2

A. QuarteroniR. SaccoF. Saleri

Berlin, DE: Springer, 2002.

Multimodels for incompressible flows: iterative solutions for the Navier-Stokes/Oseen coupling

L. FatoneP. GervasioA. Quarteroni

Mathematical Modelling and Numerical Analysis. 2001. DOI : 10.1051/m2an:2001126.

Modeling the cardiovascular system: a mathematical challenge

A. Quarteroni

Mathematics Unlimited - 2001 and Beyond; Springer-Verlag, 2001. p. 961 - 972.

Heterogeneous coupling by virtual control methods

P. GervasioJ. L. LionsA. Quarteroni

Numer. Math.. 2001. DOI : 10.1007/s002110100303.

Numerical approximation of fluid-structure interaction problems with application to haemodynamics

F. Nobile / A. Quarteroni (Dir.)

Lausanne, EPFL, 2001. DOI : 10.5075/epfl-thesis-2458.

Mathematical and numerical modeling of solute dynamics in blood flow and arterial walls

A. QuarteroniA. VenezianiP. Zunino

SIAM Journal on Numerical Analysis. 2001. DOI : 10.1137/S0036142900369714.

Méthodes numériques pour le calcul scientifique

A. QuarteroniR. SaccoF. Saleri

Paris, FR: Springer-France, 2000.

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

R. PietrabissaA. QuarteroniG. DubiniA. VenezianiF. Migliavacca  et al.

2000.

Multimodels for incompressible flows

L. FatoneP. GervasioA. Quarteroni

Journal of Mathematical Fluid Mechanics. 2000. DOI : 10.1007/PL00000950.

Computational vascular fluid dynamics: problems, models and methods

A. QuarteroniM. TuveriA. Veneziani

Computing and Visualization in Science. 2000. DOI : 10.1007/s007910050039.

Factorization methods for the numerical approximation of Navier-Stokes equations

A. QuarteroniF. SaleriA. Veneziani

Computer Methods in Applied Mechanics and Engineering. 2000. DOI : 10.1016/S0045-7825(99)00192-9.

Iterative solutions of multimodels for incompressible flows

P. NeittaanmakiL. FatoneP. GervasioA. Quarteroni

2000. 3rd European Conference on ENUMATH 99 - Numerical Mathematics and Advanced Applications, Jyväskylä, Finland, July 26-30, 1999. p. 470 - 477.

Journal Articles

2010

Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations

E. BurmanA. QuarteroniB. Stamm

Journal of Scientific Computing. 2010. DOI : 10.1007/s10915-008-9232-6.

Numerical analysis of the Navier-Stokes/Darcy coupling

L. BadeaM. DiscacciatiA. Quarteroni

Numerische Mathematik. 2010. DOI : 10.1007/s00211-009-0279-6.

Computing upper and lower bounds for linear outputs of elasticity by the smoothed finite element method

Z. XuanT. M. LassilaG. RozzaA. Quarteroni

International Journal For Numerical Methods In Engineering. 2010. DOI : 10.1002/nme.2825.

2009

Reduced Basis Method for Parametrized Differential Algebraic Equations

M. D’EliaL. Dede'A. Quarteroni

Boletín de la Sociedad Española de Matemática Aplicada. 2009.

Efficient oxygen transfer by surface aeration in shaken cylindrical containers for mammalian cell cultivation at volumetric scales up to 1,000 liters

X. ZhangC. BürkiM. StettlerD. De SanctisM. Perrone  et al.

Biochemical Engineering Journal. 2009. DOI : 10.1016/j.bej.2009.02.003.

Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction

S. BadiaA. QuainiA. Quarteroni

Journal Of Computational Physics. 2009. DOI : 10.1016/j.jcp.2009.07.019.

A 3D/1D geometrical Multiscale Model of the Cerebral Vasculature

T. PasseriniM. De LucaL. FormaggiaA. QuarteroniA. Veneziani

Journal of Engineering Mathematics. 2009. DOI : 10.1007/s10665-009-9281-3.

Navier­Stokes/Darcy coupling: modeling, analysis and numerical approximation

M. DiscacciatiA. Quarteroni

Revista Matematica Complutense. 2009. DOI : 10.5209/rev_REMA.2009.v22.n2.16263.

Finite-element preconditioning of G-NI spectral methods

C. CanutoP. GervasioA. Quarteroni

Siam Journal On Scientific Computing. 2009. DOI : 10.1137/090746367.

A 3D Finite element model for free-­surface flows

C. LeupiE. MiglioM. AltinakarA. QuarteroniM. Deville

Computers and Fluids. 2009. DOI : 10.1016/j.compfluid.2009.05.003.

2008

On the coupling of 1D and 3D Diffusion-Reaction Equations: Application to Tissue Pefusion Problems

C. D'AngeloA. Quarteroni

Mathematical Models and Methods in Applied Sciences. 2008. DOI : 10.1142/S0218202508003108.

Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect

S. BadiaA. QuainiA. Quarteroni

Computer Methods in Applied Mechanics and Engineering. 2008. DOI : 10.1016/j.cma.2008.04.018.

Reduced basis method for linear elasticity problems with many parameters

R. MilaniA. QuarteroniG. Rozza

Computer Methods in Applied Mechanics and Engineering. 2008. DOI : 10.1016/j.cma.2008.07.002.

Stabilization strategies for high order methods for transport dominated problems

E. BurmanA. QuarteroniB. Stamm

Bollettino U.M.I., Series IX. 2008.

Splitting methods based on algebraic factorization for fluid-structure interaction

S. BadiaA. QuainiA. Quarteroni

SIAM Journal on Scientific Computing. 2008. DOI : 10.1137/070680497.

2007

Modeling Of Salt Tectonics

P. MassimiA. QuarteroniF. SaleriG. Scrofani

Computer Methods in Applied Mechanics and Engineering. 2007. DOI : 10.1016/j.cma.2007.08.004.

A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method

A. QuainiA. Quarteroni

Mathematical Models and Methods in Applied Sciences. 2007. DOI : 10.1142/S0218202507002170.

Numerical solution of parametrized Navier-Stokes equations by reduced basis methods

A. QuarteroniG. Rozza

Numerical Methods for Partial Differential Equations. 2007. DOI : 10.1002/num.20249.

Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling

M. DiscacciatiA. QuarteroniA. Valli

SIAM Journal on Numerical Analysis. 2007. DOI : 10.1137/06065091X.

2006

A mathematical approach in the design of arterial bypass using unsteady Stokes equations

V. AgoshkovA. QuarteroniG. Rozza

Journal of Scientific Computing. 2006. DOI : 10.1007/s10915-006-9077-9.

The non-circular shape of FloWatch®-PAB prevents the need for pulmonary artery reconstruction after banding

A. F. CornoM. ProsiP. FridezP. ZuninoA. Quarteroni  et al.

European Journal of Cardio-Thoracic Surgery. 2006. DOI : 10.1016/j.ejcts.2005.10.029.

Fluid-structure algorithms based on Steklov-Poincaré operators

S. DeparisM. DiscacciatiG. FouresteyA. Quarteroni

Computer Methods in Applied Mechanics and Engineering. 2006. DOI : 10.1016/j.cma.2005.09.029.

Shape design in aorto-coronaric bypass anastomoses using perturbation theory

V. AgoshkovA. QuarteroniG. Rozza

SIAM Journal on Numerical Analysis. 2006. DOI : 10.1137/040613287.

2005

Mathematical models and numerical simulations for the America's Cup

N. ParoliniA. Quarteroni

Computer Methods in Applied Mechanics and Engineering. 2005. DOI : 10.1016/j.cma.2004.06.020.

Optimal control in heterogeneous domain decomposition methods

V. I. AgoshkovP. GervasioA. Quarteroni

Russian Journal of Numerical Analysis and Mathematical Modelling. 2005. DOI : 10.1515/1569398054308603.

Analysis of a geometrical multiscale blood flow model based on the coupling of ODEs and hyperbolic PDEs

M. A. FernándezV. MilisicA. Quarteroni

Multiscale Modeling and Simulation. 2005. DOI : 10.1137/030602010.

Optimal control and numerical adaptivity for advection-diffusion equations

L. Dede'A. Quarteroni

Mathematical Modelling and Numerical Analysis. 2005. DOI : 10.1051/m2an:2005044.

Mathematical and numerical models for transfer of low-density lipoproteins through the arterial walls: A new methodology for the model set up with applications to the study of disturbed lumenal flow

M. ProsiP. ZuninoK. PerktoldA. Quarteroni

Journal Of Biomechanics. 2005. DOI : 10.1016/j.jbiomech.2004.04.024.

2004

Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations

M. DiscacciatiA. Quarteroni

Computing and Visualization in Science. 2004. DOI : 10.1007/s00791-003-0113-0.

Analysis of lumped parameter models for blood flow simulations and their relation with 1D models

V. MilisicA. Quarteroni

Mathematical Modelling and Numerical Analysis. 2004. DOI : 10.1051/m2an:2004036.

2003

Coupling of free surface and groundwater flows

E. MiglioA. QuarteroniF. Saleri

Comput. Fluids. 2003. DOI : 10.1016/S0045-7930(01)00102-5.

On parallel computation of blood flow in human arterial network based on 1-D modelling

B. V. R. KumarA. QuarteroniL. FormaggiaD. Lamponi

Computing. 2003. DOI : 10.1007/s00607-003-0025-3.

Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations

A. QuarteroniA. Veneziani

Multiscale Modeling and Simulation. 2003. DOI : 10.1137/S1540345902408482.

One-dimensional models for blood flow in arteries

L. FormaggiaD. LamponiA. Quarteroni

Journal of Engineering Mathematics. 2003. DOI : 10.1023/B:ENGI.0000007980.01347.29.

Optimal control and shape optimization of aorto-coronaric bypass anastomoses

A. QuarteroniG. Rozza

Mathematical Models and Methods in Applied Sciences. 2003. DOI : 10.1142/S0218202503003124.

2002

On the simulation of unsteady flow of an Oldroyd-B fluid by spectral methods

A. LozinskiR. G. OwensA. Quarteroni

Journal of Scientific Computing. 2002. DOI : 10.1023/A:1015185605861.

Mathematical and numerical models for coupling surface and groundwater flows

M. DiscacciatiE. MiglioA. Quarteroni

Applied Numerical Mathematics. 2002. DOI : 10.1016/S0168-9274(02)00125-3.

A domain decomposition method for advection-diffusion processes with application to blood solutes

A. QuarteroniA. VenezianiP. Zunino

SIAM Journal on Scientific Computing. 2002. DOI : 10.1137/S1064827500375722.

2001

Multimodels for incompressible flows: iterative solutions for the Navier-Stokes/Oseen coupling

L. FatoneP. GervasioA. Quarteroni

Mathematical Modelling and Numerical Analysis. 2001. DOI : 10.1051/m2an:2001126.

Heterogeneous coupling by virtual control methods

P. GervasioJ. L. LionsA. Quarteroni

Numer. Math.. 2001. DOI : 10.1007/s002110100303.

Mathematical and numerical modeling of solute dynamics in blood flow and arterial walls

A. QuarteroniA. VenezianiP. Zunino

SIAM Journal on Numerical Analysis. 2001. DOI : 10.1137/S0036142900369714.

2000

Multimodels for incompressible flows

L. FatoneP. GervasioA. Quarteroni

Journal of Mathematical Fluid Mechanics. 2000. DOI : 10.1007/PL00000950.

Computational vascular fluid dynamics: problems, models and methods

A. QuarteroniM. TuveriA. Veneziani

Computing and Visualization in Science. 2000. DOI : 10.1007/s007910050039.

Factorization methods for the numerical approximation of Navier-Stokes equations

A. QuarteroniF. SaleriA. Veneziani

Computer Methods in Applied Mechanics and Engineering. 2000. DOI : 10.1016/S0045-7825(99)00192-9.

Conference Papers

2010

Efficient Solution of Fluid-Structure Interaction Problems in Computational Hemodynamics

A. QuarteroniP. CrosettoS. Deparis

2010. ICNAAM, Numerical Analysis and Applied Mathematics, 2010. p. 15 - 18. DOI : 10.1063/1.3498124.

2007

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

A. QuarteroniG. Rozza

2007. Un grande matematico dell'800: omaggio a Eugenio Beltrami, Milano. p. 225 - 238.

Modelling and numerical simulation for yacht design

N. ParoliniA. Quarteroni

2007. 26th Symposium on Naval Hydrodynamics, Rome, Italy, 17-22 September 2006.

Reduced basis methods for optimal control of advection-diffusion problems

A. QuarteroniG. RozzaA. Quaini

2007. Advances in Numerical Mathematics, RAS, Moscow, Russia, 2005. p. 193 - 216.

2006

Matematica in volo con Solar Impulse

G. FouresteyN. ParoliniC. Prud'hommeA. QuarteroniG. Rozza

2006. Matematica e Cultura, Venice, Italy, 18-20 March 2005. p. 35 - 48.

A domain decomposition framework for fluid-structure interaction problems

S. DeparisM. DiscacciatiA. Quarteroni

2006. p. 41 - 58. DOI : 10.1007/3-540-31801-1_4.

Cardiovascular mathematics

A. Quarteroni

2006. International Congress of Mathematicians, Madrid, August 22–30, 2006. p. 479 - 512.

2004

Quando la matematica va in barca (in Coppa America)

N. ParoliniA. Quarteroni

2004. Matematica e Cultura, Venice, Italy, 28-30 March 2003. p. 207 - 213.

Simulazione numerica per la Coppa America di vela

N. ParoliniA. Quarteroni

2004.

Numerical simulation for yacht design

N. ParoliniA. Quarteroni

2004.

2003

Mathematical modelling and visualisation of complex three-dimensional flows

A. QuarteroniM. SalaM. L. SawleyN. ParoliniG. W. Cowles

2003. p. 361 - 377, 445.

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

M. DiscacciatiA. Quarteroni

2003. ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications, Ischia, July 2001. p. 3 - 20. DOI : 10.1007/978-88-470-2089-4_1.

2002

A one-dimensional model for blood flow: Application to vascular prosthesis

L. FormaggiaF. NobileA. Quarteroni

2002. p. 137 - 153. DOI : 10.1007/978-3-642-56288-4_10.

Mathematical modelling of the cardiovascular system

A. Quarteroni

2002. p. 839 - 849.

2000

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

R. PietrabissaA. QuarteroniG. DubiniA. VenezianiF. Migliavacca  et al.

2000.

Iterative solutions of multimodels for incompressible flows

P. NeittaanmakiL. FatoneP. GervasioA. Quarteroni

2000. 3rd European Conference on ENUMATH 99 - Numerical Mathematics and Advanced Applications, Jyväskylä, Finland, July 26-30, 1999. p. 470 - 477.

Reviews

2009

Mathematics in the Wind

D. DetomiN. ParoliniA. Quarteroni

Monografias de La Real Academia de Ciencias de Zaragoza. 2009.

Mathematicals Models in Science and Engineering

A. Quarteroni

ASM Notices. 2009.

2008

Modelli Matematici, Calcolo Scientifico e Applicazioni

A. Quarteroni

Rendiconti del Seminario Matematico dell’Università e del Politecnico di Torino. 2008.

Books

2010

Scientific Computing with MATLAB and Octave, 3rd ed.

A. QuarteroniF. SaleriP. Gervasio

springer, 2010.

Matematica Numerica Esercizi, Laboratori e Progetti

C. D'AngeloA. Quarteroni

Springer, 2010.

Calcul Scientifique - Cours, exercices corrigés et illustrations en Matlab et Octave

A. QuarteroniF. SaleriP. Gervasio

Springer, 2010.

2009

Numerical Models for Differential Problems

A. Quarteroni

Heidelberg, DE: Springer, 2009.

MATHKNOW

M. EmmerA. Quarteroni

Heidelberg, DE: Springer, 2009.

Cardiovascular Mathematics

L. FormaggiaA. QuarteroniA. Veneziani

Heidelberg, DE: Springer, 2009.

2008

Modellistica Numerica per Problemi Differenziali

A. Quarteroni

Milan, IT: Springer-Italia, 2008.

Matematica numerica

A. M. QuarteroniR. SaccoF. Saleri

Milan, IT: Springer-Italia, 2008.

Calcolo scientifico

A. QuarteroniF. Saleri

Milan, IT: Springer-Italia, 2008.

2007

CÁLCULO CIENTÍFICO com MATLAB e Octave

A. QuarteroniF. Saleri

Madrid, ES: Springer, 2007.

Matematica: si parte!

Y. BiollayA. ChaabouniJ. Stubbe

Milan, IT: Springer, 2007.

Numerical Mathematics

A. QuarteroniR. SaccoF. Saleri

Paris, FR: Springer, 2007.

Spectral Methods

C. CanutoM. HussainiA. QuarteroniT. Zang

Heidelberg, DE: Springer, 2007.

Méthodes Numériques

A. QuarteroniR. SaccoF. Saleri

Paris, FR: Springer, 2007.

2006

Proofs from THE BOOK

M. AignerG. Ziegler

Milan, IT: Springer-Italia, 2006.

Scientific Computing with MATLAB and Octave

A. QuarteroniF. Saleri

Heidelberg, DE: Springer, 2006.

Cálculo Científico con MATLAB y Octave

A. QuarteroniF. Saleri

Madrid, ES: Springer, 2006.

Modellistica Numerica per Problemi Differenziali (Third. Ed.)

A. Quarteroni

Milan, IT: Springer-Italia, 2006.

Calcul Scientifique

A. QuarteroniF. Saleri

Paris, FR: Springer, 2006.

Introduzione al Calcolo Scientifico

A. QuarteroniF. Saleri

Milan, IT: Springer-Italia, 2006.

Wissenschaftliches Rechnen mit MATLAB

A. QuarteroniF. Saleri

Heidelberg, DE: Springer, 2006.

Complex Systems in Biomedicine

A. QuarteroniL. FormaggiaA. Veneziani

Heidelberg, DE: Springer, 2006.

Spectral Methods

C. CanutoM. HussainiA. QuarteroniT. Zang

Heidelberg, DE: Springer, 2006.

2005

Matematica Numerica (Second Ed.)

A. QuarteroniR. SaccoF. Saleri

Milan, IT: Springer, 2005.

2002

Numerische Mathematik 1

A. QuarteroniR. SaccoF. Saleri

Berlin, DE: Springer, 2002.

Numerische Mathematik 2

A. QuarteroniR. SaccoF. Saleri

Berlin, DE: Springer, 2002.

2000

Méthodes numériques pour le calcul scientifique

A. QuarteroniR. SaccoF. Saleri

Paris, FR: Springer-France, 2000.

Theses

2009

Spectral element approximation of the incompressible Navier-Stokes equations in a moving domain and applications

G. Pena / A. Quarteroni (Dir.)

Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4529.

Algorithms for fluid-structure interaction problems arising in hemodynamics

A. Quaini / A. Quarteroni (Dir.)

Lausanne, EPFL, 2009. DOI : 10.5075/epfl-thesis-4290.

2008

Stabilization strategies for discontinuous Galerkin methods

B. Stamm / A. QuarteroniE. Burman (Dir.)

Lausanne, EPFL, 2008. DOI : 10.5075/epfl-thesis-4135.

2007

Interior penalty finite element approximation of Navier-Stokes equations and application to free surface flows

C. Winkelmann / A. Quarteroni (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3971.

Multiscale modelling of metabolism and transport phenomena in living tissues

C. D'Angelo / A. Quarteroni (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3803.

Multilevel preconditioners for elliptic problems with multiple scales

K. Sapelza / A. Quarteroni (Dir.)

Lausanne, EPFL, 2007. DOI : 10.5075/epfl-thesis-3931.

2006

Optimal control of mass transfer in peritoneal dialysis

D. Mastalli / A. Quarteroni (Dir.)

Lausanne, EPFL, 2006. DOI : 10.5075/epfl-thesis-3461.

2005

Shape design by optimal flow control and reduced basis techniques : applications to bypass configurations in haemodynamics

G. Rozza / A. Quarteroni (Dir.)

Lausanne, EPFL, 2005. DOI : 10.5075/epfl-thesis-3400.

2004

Experimental set-up and numerical simulations of intravenous gas transfer devices

I. Mallabiabarrena Ormaetxea / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-2873.

Computational fluid dynamics for naval engineering problems

N. Parolini / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-3138.

Numerical analysis of axisymmetric flows and methods for fluid-structure interaction arising in blood flow simulation

S. Deparis / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-2965.

One dimensional and multiscale models for blood flow circulation

D. Lamponi / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-3006.

Domain decomposition methods for the coupling of surface and groundwater flows

M. Discacciati / A. Quarteroni (Dir.)

Lausanne, EPFL, 2004. DOI : 10.5075/epfl-thesis-3117.

2003

Domain decomposition preconditioners : theoretical properties, application to the compressible Euler equations, parallel aspects

M. Sala / A. Quarteroni (Dir.)

Lausanne, EPFL, 2003. DOI : 10.5075/epfl-thesis-2733.

2002

Mathematical and numerical modeling of mass transfer in the vascular system

P. Zunino / A. Quarteroni (Dir.)

Lausanne, EPFL, 2002. DOI : 10.5075/epfl-thesis-2669.

2001

Numerical approximation of fluid-structure interaction problems with application to haemodynamics

F. Nobile / A. Quarteroni (Dir.)

Lausanne, EPFL, 2001. DOI : 10.5075/epfl-thesis-2458.

Book Chapters

2009

Reduced basis approximation for parametrized partial differential equations

G. RozzaA. Quarteroni

Numerical Models for Differential Equations; Heildelberg: Springer, 2009. p. 547 - 579.

2007

Modellistica Matematica e Calcolo Scientifico

A. Quarteroni

Enciclopedia della Scienza e della Tecnica (Treccani); Rome: Istituto dell’Enciclopedia Italiana, 2007.

Heterogeneous domain decomposition methods for fluid-structure interaction problems

S. DeparisM. DiscacciatiG. FouresteyA. Quarteroni

Domain Decomposition Methods in Science and Engineering XVI; Berlin: Springer, 2007. p. 41 - 52.

2006

The circulatory system: from case studies to mathematical modeling

L. FormaggiaA. QuarteroniA. Veneziani

Complex systems in biomedecine; Springer, 2006. p. 243 - 287.

Numerical approximation of a control problem for advection-diffusion processes

A. QuarteroniG. RozzaL. Dede'A. Quaini

System modeling and optimization; Boston: Springer, 2006. p. 261 - 273.

2004

Spectral Methods

C. CanutoA. Quarteroni

Encyclopedia of Computational Mechanics; John Wiley & Sons, 2004.

Modelli matematici per l'ottimizzazione della dialisi peritoneale

D. MastalliA. QuarteroniP. Zunino

Collezione delle Lezioni del Ciclo "Scienze e tecnologie per lo sviluppo sostenibile della società umana"; Istituto Lombardo di Scienze e Lettere, 2004.

2003

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

J. PeiroS. J. SherwinK. H. ParkerV. FrankeL. Formaggia  et al.

Wall-Fluid Interactions in Physiological Flows; 2003.

Mathematical Modelling and Numerical Simulation of the Cardiovascular System

A. QuarteroniL. Formaggia

Modelling of Living Systems; 2003.

2001

Modeling the cardiovascular system: a mathematical challenge

A. Quarteroni

Mathematics Unlimited - 2001 and Beyond; Springer-Verlag, 2001. p. 961 - 972.

Talks

2009

Mathematics in the wind

A. Quarteroni

why we do Math.

Student Projects

2010

Exploration and comparison of reduced order modelling techniques for parametrized systems

F. Gelsomino

2010

Reduced Basis Method for 3D Problems governed by Parametrized PDEs and Applications

A. Trezzini

2010

Estimateur à posteriori pour l’affinage de maillage dans la méthode des éléments finis

T. Pouchon

2010

2009

Estimation d'erreur d'une méthode de volumes-éléments finis stabilisée appliquée au problème de Stokes stationnaire et transient

S. Luisier

2009

2008

Introduction a la methode des bases reduites

G. Grandperrin

2008

Geometrical reconstruction of curves and surfaces using NURBS

S. Rouge

2008

Reduced basis method for the shape optimization of racing car components

C. Gunther

2008

2007

Modélisation mathématique et simulation numérique du système cardiovasculaire

F. Gelsomino

2007

Méthode de Galerkin discontinue et algorithme pararéel

M. Rime

2007

Lignes de courant de fluides incompressibles

G. Grandperrin

2007

Une méthode d'éléments finis pour un problème de convection naturelle

S. Quinodoz

2007

2006

Metodi a basi ridotte per la risoluzione di problemi parametrizzati in elasticita' lineare

R. Milani

2006

Numerical analysis of fluid dynamics and oxygen diffusion in shaking bioreactors

D. De SanctisM. Perrone

2006

2005

Metodi a basi ridotte per problemi differenziali di fluidodinamica ambientale

A. Quaini

2005

Résolution numérique d'équations différentielles chaotiques par un algorithme adaptatif

L. Walter

2005

2004

Controllo ottimale e adattivita' per equazioni alle derivate parziali e applicazioni

L. Dede'

2004

2002

Controllo ottimale e ottimizzazione di forma in fluidodinamica numerica

G. Rozza

2002