大葉大學圖書館 |

Optimal transport for applied mathematicians[electronic resource] :calculus of variations, PDEs, and modeling /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.6
書名/作者:	Optimal transport for applied mathematicians : calculus of variations, PDEs, and modeling // by Filippo Santambrogio.
作者:	Santambrogio, Filippo.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xxvii, 353 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Mathematical optimization.
標題:	Differential equations, Partial.
標題:	Mathematics.
標題:	Calculus of Variations and Optimal Control; Optimization.
標題:	Ordinary Differential Equations.
標題:	Partial Differential Equations.
標題:	Measure and Integration.
ISBN:	9783319208282
ISBN:	9783319208275
摘要、提要註:	This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.
電子資源:	http://dx.doi.org/10.1007/978-3-319-20828-2

Optimal transport for applied mathematicians[electronic resource] :calculus of variations, PDEs, and modeling /
Santambrogio, Filippo.

Optimal transport for applied mathematicianscalculus of variations, PDEs, and modeling /[electronic resource] :by Filippo Santambrogio. - Cham :Springer International Publishing :2015. - xxvii, 353 p. :ill., digital ;24 cm. - Progress in nonlinear differential equations and their applications,v.871421-1750 ;. - Progress in nonlinear differential equations and their applications ;v.83..

This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.

ISBN: 9783319208282

Standard No.: 10.1007/978-3-319-20828-2doiSubjects--Topical Terms:

176332
Mathematical optimization.

LC Class. No.: QA402.5

Dewey Class. No.: 519.6

Optimal transport for applied mathematicians[electronic resource] :calculus of variations, PDEs, and modeling /
LDR:02278nam a2200337 a 4500 001 444261
003 DE-He213
005 20160413154355.0
006 m d
007 cr nn 008maaau
008 160715s2015 gw s 0 eng d
020 $a 9783319208282 $q (electronic bk.)
020 $a 9783319208275 $q (paper)
024 7 $a 10.1007/978-3-319-20828-2 $2 doi
035 $a 978-3-319-20828-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.5
072 7 $a PBKQ $2 bicssc
072 7 $a PBU $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a MAT029020 $2 bisacsh
082 0 4 $a 519.6 $2 23
090 $a QA402.5 $b .S232 2015
100 1 $a Santambrogio, Filippo. $3 635656
245 1 0 $a Optimal transport for applied mathematicians $h [electronic resource] : $b calculus of variations, PDEs, and modeling / $c by Filippo Santambrogio.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a xxvii, 353 p. : $b ill., digital ; $c 24 cm.
490 1 $a Progress in nonlinear differential equations and their applications, $x 1421-1750 ; $v v.87
520 $a This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.
650 0 $a Mathematical optimization. $3 176332
650 0 $a Differential equations, Partial. $3 389324
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 464715
650 2 4 $a Ordinary Differential Equations. $3 465742
650 2 4 $a Partial Differential Equations. $3 464931
650 2 4 $a Measure and Integration. $3 464140
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Progress in nonlinear differential equations and their applications ; $v v.83. $3 465739
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-20828-2
950 $a Mathematics and Statistics (Springer-11649)