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Publications Influence

Spectral methods for fluid dynamics

- C. Canuto, M. Hussaini, A. Quarteroni, Thomas A. Zang
- Mathematics
- 1987

1. Introduction.- 1.1. Historical Background.- 1.2. Some Examples of Spectral Methods.- 1.2.1. A Fourier Galerkin Method for the Wave Equation.- 1.2.2. A Chebyshev Collocation Method for the Heat… Expand

3,800 127

Spectral Methods: Fundamentals in Single Domains

- C. Canuto, M. Hussaini, A. Quarteroni, T. Zang
- Mathematics
- 19 November 2010

Polynomial Approximation.- Basic Approaches to Constructing Spectral Methods.- Algebraic Systems and Solution Techniques.- Polynomial Approximation Theory.- Theory of Stability and Convergence.-… Expand

1,500 103

Numerical Approximation of Partial Differential Equations

- A. Quarteroni, A. Valli
- Mathematics
- 1 October 2008

This is the softcover reprint of the very popular hardcover edition. This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough… Expand

1,502 75

Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics (Scientific Computation)

- C. Canuto, M. Hussaini, A. Quarteroni, T. Zang
- Computer Science, Mathematics
- 1 August 2007

TLDR

594 35- PDF

Numerical Models for Differential Problems

- A. Quarteroni
- Mathematics
- 8 April 2009

In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also… Expand

359 32

Cardiovascular mathematics : modeling and simulation of the circulatory system

- L. Formaggia, A. Quarteroni, A. Veneziani
- Computer Science
- 2009

TLDR

461 31- PDF

Reduced Basis Methods for Partial Differential Equations: An Introduction

- A. Quarteroni, A. Manzoni, F. Negri
- Mathematics
- 11 September 2015

1 Introduction.- 2 Representative problems: analysis and (high-fidelity) approximation.- 3 Getting parameters into play.- 4 RB method: basic principle, basic properties.- 5 Construction of reduced… Expand

369 31

One-dimensional models for blood flow in arteries

- L. Formaggia, Daniele Lamponi, A. Quarteroni
- Mathematics
- 1 December 2003

In this paper a family of one-dimensional nonlinear systems which model the blood pulse propagation in compliant arteries is presented and investigated. They are obtained by averaging the… Expand

347 25- PDF

Approximation results for orthogonal polynomials in Sobolev spaces

- C. Canuto, A. Quarteroni
- Mathematics
- 1982

We analyze the approximation properties of some interpolation operators and some L2-orthogonal projection operators related to systems of polynomials which are orthonormal with respect to a weight… Expand

404 23- PDF

On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels

- L. Formaggia, Jean-Frédéric Gerbeau, F. Nobile, A. Quarteroni
- Mathematics
- 7 December 2001

For the analysis of flows in compliant vessels, we propose an approach to couple the original 3D equations with a convenient 1D model. This multiscal- e strategy allows for a dramatic reduction of… Expand

532 21