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

Paperback | May 24, 2007

byGregoire AllaireTranslated byAlan Craig

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This text, based on the author's teaching at Ecole 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 elementmethod; 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, andthe physical sciences.

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This text, based on the author's teaching at Ecole 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 elementmethod; Eigenvalue problems; evolution prob...

Gregoire Allaire is at the Ecole Polytechnique, France. Alan Craig is at teh University of Durham.

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Format:PaperbackDimensions:472 pages, 9.21 × 6.14 × 0.98 inPublished:May 24, 2007Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199205221

ISBN - 13:9780199205226

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Table of Contents

1. Introduction to mathematical modelling and numerical simulation2. Finite difference method3. Variational formulation of elliptic problems4. Sobolev spaces5. The mathematical study of elliptical problems6. The finite element method7. Eigenvalue problems8. Evolution problems9. Introduction to optimization10. Optimality conditions and algorithms11. Methods of operational researchAppendices12. Review of Hilbert spaces13. Matrix numerical analysisBibliographyIndex