Optimal transport for applied mathematicians : calculus of variations, PDEs, and modeling (eBook, 2015) [WorldCat.org]
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Optimal transport for applied mathematicians : calculus of variations, PDEs, and modeling

Author: Filippo Santambrogio
Publisher: [Cham] : Birkhäuser, [2015] ©2015
Series: Progress in nonlinear differential equations and their applications, v. 87.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Santambrogio, Filippo.
Optimal transport for applied mathematicians.
©2015
(OCoLC)910412247
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Filippo Santambrogio
ISBN: 9783319208282 3319208284
OCLC Number: 932002615
Description: 1 online resource (xxvii, 353 pages) : illustrations
Contents: Primal and Dual Problems --
One-Dimensional Issues --
L̂1 and L̂infinity Theory --
Minimal Flows --
Wasserstein Spaces --
Numerical Methods --
Functionals over Probabilities --
Gradient Flows --
Exercises.
Series Title: Progress in nonlinear differential equations and their applications, v. 87.
Responsibility: Filippo Santambrogio.

Abstract:

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  Read more...

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"This book offers an excellent, exciting and enjoyable, tour through the theory of optimal transportation, with a very good choice of topics ... . It is well written and thorough and provides an Read more...

 
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