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Numerical analysis and optimization : an introduction to mathematical modelling and numerical simulation

Author: Grégoire Allaire
Publisher: Oxford [England] ; New York : Oxford University Press, 2007.
Series: Numerical mathematics and scientific computation.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This work familiarises students with mathematical models (PDEs) and methods of numerical solution and optimisation. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.
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Genre/Form: Lehrbuch
Additional Physical Format: Online version:
Allaire, Grégoire.
Numerical analysis and optimization.
Oxford [England] ; New York : Oxford University Press, 2007
(OCoLC)654563148
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Grégoire Allaire
ISBN: 9780199205219 0199205213 9780199205226 0199205221
OCLC Number: 82671667
Language Note: Translated from the French.
Description: xvi, 455 pages : illustrations ; 24 cm.
Contents: Finite difference method --
Variational formulation of elliptic problems --
Sobolev spaces --
Mathematical study of elliptic problems --
Finite element method --
Eigenvalue problems --
Evolution problems --
Introduction to optimization --
Optimality conditions and algorithms --
Methods of operational research / written in collaboration with Stéphane Gaubert --
Review of hilbert spaces --
Matrix numerical analysis.
Series Title: Numerical mathematics and scientific computation.
Other Titles: Analyse numérique et optimisation.
Mathematical modelling and numerical simulation
Responsibility: Grégoire Allaire ; translated by Alan Craig.

Abstract:

This text, based on the author's teaching at Ecole Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Including numerous exercises and examples,  Read more...

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