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Numerical PDE-Constrained Optimization
This book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are careful...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | SpringerBriefs in Optimization,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
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| 001 | 978-3-319-13395-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220816134123.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150206s2015 sz | s |||| 0|eng d | ||
| 020 | |a 9783319133959 |9 978-3-319-13395-9 | ||
| 024 | 7 | |a 10.1007/978-3-319-13395-9 |2 doi | |
| 050 | 4 | |a QA402.5-402.6 | |
| 072 | 7 | |a PBU |2 bicssc | |
| 072 | 7 | |a MAT003000 |2 bisacsh | |
| 072 | 7 | |a PBU |2 thema | |
| 082 | 0 | 4 | |a 519.6 |2 23 |
| 100 | 1 | |a De los Reyes, Juan Carlos. |e author. |0 (orcid)0000-0003-2761-5382 |1 https://orcid.org/0000-0003-2761-5382 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Numerical PDE-Constrained Optimization |h [electronic resource] / |c by Juan Carlos De los Reyes. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a X, 123 p. 13 illus., 2 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a SpringerBriefs in Optimization, |x 2191-575X | |
| 505 | 0 | |a Introduction -- Basic Theory of Partial Differential Equations and Their Discretization -- Theory of PDE-constrained Optimization -- Numerical Optimization Methods -- Box-constrained Problems -- Nonsmooth PDE-constrained Optimization. | |
| 520 | |a This book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully presented. The developed results are illustrated with several examples, including linear and nonlinear ones. In addition, MATLAB codes, for representative problems, are included. Furthermore, recent results in the emerging field of nonsmooth numerical PDE constrained optimization are also covered. The book provides an overview on the derivation of optimality conditions and on some solution algorithms for problems involving bound constraints, state-constraints, sparse cost functionals and variational inequality constraints. | ||
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Numerical analysis. | |
| 650 | 1 | 4 | |a Optimization. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Numerical Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319133966 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319133942 |
| 830 | 0 | |a SpringerBriefs in Optimization, |x 2191-575X | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-13395-9 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||