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 -