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Numerical models for differential problems

Author: Alfio Quarteroni
Publisher: Milan ; New York: Springer, [2014] ©2014
Series: MS&A (Series), v. 8.
Edition/Format:   Print book : English : Second editionView all editions and formats
Summary:
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 the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Alfio Quarteroni
ISBN: 9788847055216 8847055210 9788847055223 8847055229
OCLC Number: 873591941
Notes: "Translated by Silvia Quarteroni from the original Italian edition: A. Quarteroni, Modellistica Numerica per Problemi Differenziali, 5th ed., Springer-Verlag Italia, Milano, 2012"-- t.p. verso.
Description: xix, 656 pages : illustrations ; 24 cm.
Contents: 1. A brief survey of partial differential equations --
2. Elements of functional analysis --
3. Elliptic equations --
4. The Galerkin finite element method for elliptic problems --
5. Parabolic equations --
6. Generation of 1D and 2D grids --
7. Algorithms for the solution of linear systems --
8. Elements of finite element programming --
9. The finite volume method --
10. Spectral methods --
11. Discontinuous element methods (DG and mortar) --
12. Diffusion-transport-reaction equations --
13. Finite differences for hyperbolic equations --
14. Finite elements and spectral methods for hyperbolic equations --
15. Nonlinear hyperbolic problems --
16. Navier-Stokes equations --
17. Optimal control of partial differential equations --
18. Domain decomposition methods --
19. Reduced basis approximation for parametrized partial differential equations.
Series Title: MS&A (Series), v. 8.
Other Titles: Modellistica numerica per problemi differenziali.
Responsibility: Alfio Quarteroni.
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Abstract:

This book introduces the basic concepts for the numerical modelling of partial differential equations. It details algorithmic and computer implementation aspects and provides a number of easy-to-use  Read more...

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