TY  - BOOK
AU  - Allaire,Grégoire
TI  - Numerical analysis and optimization: an introduction to mathematical modelling and numerical simulation 
T2  - Numerical mathematics & scientific computation
SN  - 978-0-19-920522-6
PY  - 2009///
CY  - Oxford
PB  - Oxford University
KW  - Análisis numérico
KW  - Optimización matemática
N1  - Índice; Bibliografía: p. 447-449
N2  - 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; Índice: 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
ER  -