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

by Grégoire Allaire, Alan Craig

Overview

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 element method; Eigenvalue problems; evolution problems; optimality conditions and algorithms and methods of operational research, and including a several exercises throughout, this is anideal text for advanced undergraduate students and graduates in applied mathematics, engineering, computer science, and the physical sciences.

Product Details

ISBN-13:	9780199205226
Publisher:	Oxford University Press
Publication date:	07/19/2007
Series:	Numerical Mathematics and Scientific Computation
Edition description:	New Edition
Pages:	472
Product dimensions:	9.10(w) x 6.10(h) x 0.90(d)

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