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Spectral methods for fluid dynamics
- C. Canuto, M. Hussaini, A. Quarteroni, T. 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…
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.-…
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…
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…
Numerical Models for Differential Problems
- A. Quarteroni
- Mathematics, Computer Science
- 8 April 2009
TLDR
Cardiovascular mathematics : modeling and simulation of the circulatory system
- L. Formaggia, A. Quarteroni, A. Veneziani
- Biology
- 2009
TLDR
Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics (Scientific Computation)
- C. Canuto, M. Hussaini, A. Quarteroni, T. Zang
- Computer Science
- 1 August 2007
TLDR
One-dimensional models for blood flow in arteries
- L. Formaggia, Daniele Lamponi, A. Quarteroni
- Engineering
- 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…
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…
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