000 02140nam a2200325ui 4500
001 UK0410114437
003 OSt
008 091103s2007 uk a f 001 0 eng d
020 _a978-0-19-920522-6
040 _aUCA-CYT
_cUCA
100 1 _aAllaire, Grégoire
245 1 0 _aNumerical analysis and optimization :
_ban introduction to mathematical modelling and numerical simulation /
_cGrégoire Allaire ; translated by Dr Alan Craig
250 _a1st ed., rep.
260 _aOxford :
_bOxford University,
_c2009
300 _aXVI, 455 p. :
_bil. ;
_c24 cm
490 0 0 _aNumerical mathematics & scientific computation
500 _aÍndice
504 _aBibliografía: p. 447-449
520 _aThis 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.
520 _aÍndice: 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
650 0 4 _aAnálisis numérico
_93538
650 0 4 _aOptimización matemática
_910419
909 _bcyt
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