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

Grégoire Allaire

OUP Oxford, May 24, 2007 - Mathematics - 472 pages

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.

About the author

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

Bibliographic information

• Title: Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation; Numerical Mathematics and Scientific Computation
• Author: Grégoire Allaire
• Translated by: Alan Craig
• Edition: illustrated, reprint
• Publisher: OUP Oxford, 2007
• ISBN: 0199205213, 9780199205219
• Length: 472 pages
• Subjects: Mathematics / Applied; Mathematics / Numerical Analysis; Mathematics / Optimization