Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation

Author:   Grégoire Allaire (, Ecole Polytechnique, France) ,  Alan Craig (University of Durham)
Publisher:   Oxford University Press
ISBN:  

9780199205219


Pages:   472
Publication Date:   24 May 2007
Format:   Hardback
Availability:   To order   Availability explained
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Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation


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Overview

This text, based on the author's teaching at École Polytechnique, introduces the reader to the world of mathematical modelling and numerical simulation. Covering the finite difference method; variational formulation of elliptic problems; Sobolev spaces; elliptical problems; the finite element method; Eigenvalue problems; evolution problems; optimality conditions and algorithms and methods of operational research, and including a several exercises throughout, this is an ideal text for advanced undergraduate students and graduates in applied mathematics, engineering, computer science, and the physical sciences.

Full Product Details

Author:   Grégoire Allaire (, Ecole Polytechnique, France) ,  Alan Craig (University of Durham)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.30cm , Height: 3.00cm , Length: 24.00cm
Weight:   0.824kg
ISBN:  

9780199205219


ISBN 10:   0199205213
Pages:   472
Publication Date:   24 May 2007
Audience:   Adult education ,  Further / Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

1: Introduction to mathematical modelling and numerical simulation 2: Finite difference method 3: Variational formulation of elliptic problems 4: Sobolev spaces 5: The mathematical study of elliptical problems 6: The finite element method 7: Eigenvalue problems 8: Evolution problems 9: Introduction to optimization 10: Optimality conditions and algorithms 11: Methods of operational research Appendices 12: Review of Hilbert spaces 13: Matrix numerical analysis Bibliography Index

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