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Numerical analysis and optimization : an introduction to mathematical modelling and numerical simulation / Grégoire Allaire ; translated by Alan Craig.
AUTOR:
Grégoire Allaire
ISBN:
9780199205219
9780199205226
EDITOR:
Oxford University Press
IDIOMA:
eng
PÁGINAS:
XVI, 455
AÑO:
2007
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RESUMEN
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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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INDICE
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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
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