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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)
Resource Information
The item Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling, by Filippo Santambrogio, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling, by Filippo Santambrogio, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 DacorognaMoser 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
 Language
 eng
 Edition
 1st ed. 2015.
 Extent
 XXVII, 353 p. 30 illus., 19 illus. in color.
 Contents

 Preface
 Primal and Dual Problems
 OneDimensional Issues
 L^1 and L^infinity Theory. Minimal Flows. Wasserstein Spaces
 Numerical Methods
 Functionals over Probabilities. Gradient Flows
 Exercises
 References
 Index.
 Isbn
 9783319208282
 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
 Subject

 Measure theory
 Differential equations
 Partial Differential Equations
 Measure and Integration
 Partial differential equations
 Ordinary Differential Equations
 Differential equations
 Calculus of variations
 Mathematics
 Differential equations
 Partial Differential Equations
 Mathematics
 Measure theory
 Calculus of variations
 Electronic resources
 Partial differential equations
 Mathematics
 Calculus of variations
 Partial differential equations
 Calculus of Variations and Optimal Control; Optimization
 Partial Differential Equations
 Measure theory
 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 DacorognaMoser 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
 http://library.link/vocab/creatorName
 Santambrogio, Filippo
 Image bit depth
 0
 LC call number

 QA315316
 QA402.3
 QA402.5QA402.6
 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)
 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  OneDimensional 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
 10.1007/9783319208282
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319208282
 Label
 Optimal Transport for Applied Mathematicians : Calculus of Variations, PDEs, and Modeling, by Filippo Santambrogio, (electronic resource)
 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  OneDimensional 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
 10.1007/9783319208282
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319208282
Subject
 Calculus of Variations and Optimal Control; Optimization
 Calculus of variations
 Calculus of variations
 Calculus of variations
 Differential equations
 Differential equations
 Differential equations
 Electronic resources
 Mathematics
 Mathematics
 Mathematics
 Measure and Integration
 Measure theory
 Measure theory
 Measure theory
 Ordinary Differential Equations
 Partial Differential Equations
 Partial Differential Equations
 Partial Differential Equations
 Partial differential equations
 Partial differential equations
 Partial differential equations
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