Gregoire Allaire (, Ecole Polytechnique, France)

Numerical Analysis and Optimization

An Introduction to Mathematical Modelling and Numerical Simulation
Übersetzung: Craig, Alan

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Numerical Mathematics and Scientific Computation
• Verlag: Oxford University Press
• Seitenzahl: 472
• Erscheinungstermin: 24. Mai 2007
• Englisch
• Abmessung: 234mm x 156mm x 25mm
• Gewicht: 720g
• ISBN-13: 9780199205226
• ISBN-10: 0199205221
• Artikelnr.: 22925472

Inhaltsangabe

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