Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation (Numerical Mathematics and Scientific Computation) - Brossura

Allaire, Gregoire

Brossura

ISBN 10: 0199205221 ISBN 13: 9780199205226

Casa editrice: Oxford University Press, USA, 2007

Riassunto

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 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: Oxford University Press, USA
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0199205221
• ISBN 13: 9780199205226
• Rilegatura: Copertina flessibile
• Numero di pagine: 472
• Contatto del produttore: non disponibile