國立虎尾科技大學 |

Numerical PDE-Constrained Optimization

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Numerical PDE-Constrained Optimization/ by Juan Carlos De los Reyes.
作者:	De los Reyes, Juan Carlos.
面頁冊數:	X, 123 p. 13 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical optimization. -
電子資源:	https://doi.org/10.1007/978-3-319-13395-9
ISBN:	9783319133959

Numerical PDE-Constrained Optimization
De los Reyes, Juan Carlos.

Numerical PDE-Constrained Optimization[electronic resource] /by Juan Carlos De los Reyes. - 1st ed. 2015. - X, 123 p. 13 illus., 2 illus. in color.online resource. - SpringerBriefs in Optimization,2190-8354. - SpringerBriefs in Optimization,.

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.

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.

ISBN: 9783319133959

Standard No.: 10.1007/978-3-319-13395-9doiSubjects--Topical Terms:

527675
Mathematical optimization.

LC Class. No.: QA402.5-402.6

Dewey Class. No.: 519.6

Numerical PDE-Constrained Optimization
LDR:02433nam a22003975i 4500 001 966221
003 DE-He213
005 20200630081839.0
007 cr nn 008mamaa
008 201211s2015 gw | 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
035 $a 978-3-319-13395-9
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. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1066699
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 2190-8354
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. $3 527675
650 0 $a Partial differential equations. $3 1102982
650 0 $a Numerical analysis. $3 527939
650 1 4 $a Optimization. $3 669174
650 2 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Numerical Analysis. $3 671433
710 2 $a SpringerLink (Online service) $3 593884
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 2190-8354 $3 1254063
856 4 0 $u https://doi.org/10.1007/978-3-319-13395-9
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)