The Resource Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling, by Filippo Santambrogio, (electronic resource)

Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling, by Filippo Santambrogio, (electronic resource)

Label
Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling
Title
Optimal Transport for Applied Mathematicians
Title remainder
Calculus of Variations, PDEs, and Modeling
Statement of responsibility
by Filippo Santambrogio
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Santambrogio, Filippo
Image bit depth
0
LC call number
  • QA315-316
  • QA402.3
  • QA402.5-QA402.6
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Progress in Nonlinear Differential Equations and Their Applications,
Series volume
87
http://library.link/vocab/subjectName
  • Mathematics
  • Measure theory
  • Differential equations
  • Partial differential equations
  • Calculus of variations
  • Mathematics
  • Calculus of Variations and Optimal Control; Optimization
  • Ordinary Differential Equations
  • Partial Differential Equations
  • Measure and Integration
Label
Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling, by Filippo Santambrogio, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Primal and Dual Problems -- One-Dimensional Issues -- L^1 and L^infinity Theory.- Minimal Flows.- Wasserstein Spaces -- Numerical Methods -- Functionals over Probabilities.- Gradient Flows -- Exercises -- References -- Index.
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XXVII, 353 p. 30 illus., 19 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319208282
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-20828-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-20828-2
Label
Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling, by Filippo Santambrogio, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface -- Primal and Dual Problems -- One-Dimensional Issues -- L^1 and L^infinity Theory.- Minimal Flows.- Wasserstein Spaces -- Numerical Methods -- Functionals over Probabilities.- Gradient Flows -- Exercises -- References -- Index.
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XXVII, 353 p. 30 illus., 19 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319208282
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-20828-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-20828-2

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