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

Allaire, Grégoire

Rilegato

ISBN 10: 0199205213 ISBN 13: 9780199205219

Casa editrice: OUP Oxford, 2007

Riassunto

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.

Su questo libro

L'autore

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

Contenuti

• 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

Dettagli dell?edizione

• Editore: OUP Oxford
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0199205213
• ISBN 13: 9780199205219
• Rilegatura: Copertina rigida
• Numero di pagine: 472
• Contatto del produttore: non disponibile