Optimal transport for applied mathematicians: calculus of variations, PDEs, and modeling
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245 | 1 | 0 | |a Optimal transport for applied mathematicians |b calculus of variations, PDEs, and modeling |c Filippo Santambrogio |
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490 | 1 | |a Progress in nonlinear differential equations and their applications |v volume 87 |x 1421-1750 | |
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adam_text | OPTIMAL TRANSPORT FOR APPLIED MATHEMATICIANS
/ SANTAMBROGIO, FILIPPO
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
OPTIMAL TRANSPORT FOR APPLIED MATHEMATICIANS
/ SANTAMBROGIO, FILIPPO
: 2015
ABSTRACT / INHALTSTEXT
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
THROUGHMINIMAL 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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Santambrogio, Filippo |
author_GND | (DE-588)116506510X |
author_facet | Santambrogio, Filippo |
author_role | aut |
author_sort | Santambrogio, Filippo |
author_variant | f s fs |
building | Verbundindex |
bvnumber | BV043209660 |
classification_rvk | SK 660 SK 880 SK 950 SK 970 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (OCoLC)944058001 (DE-599)BVBBV043209660 |
dewey-full | 515.64 510 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis 510 - Mathematics |
dewey-raw | 515.64 510 |
dewey-search | 515.64 510 |
dewey-sort | 3515.64 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-20828-2 |
format | Electronic eBook |
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illustrated | Illustrated |
indexdate | 2024-12-20T17:31:13Z |
institution | BVB |
isbn | 9783319208282 |
issn | 1421-1750 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028632820 |
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physical | 1 Online Ressource (xxvii, 353 Seiten) Illustrationen, Diagramme (teilweise farbig) |
psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
publisher | Birkhäuser |
record_format | marc |
series | Progress in nonlinear differential equations and their applications |
series2 | Progress in nonlinear differential equations and their applications |
spellingShingle | Santambrogio, Filippo Optimal transport for applied mathematicians calculus of variations, PDEs, and modeling Progress in nonlinear differential equations and their applications Mathematics Measure theory Differential equations Partial differential equations Calculus of variations Calculus of Variations and Optimal Control; Optimization Ordinary Differential Equations Partial Differential Equations Measure and Integration Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Transportproblem (DE-588)4060694-6 gnd Variationsproblem (DE-588)4187419-5 gnd |
subject_GND | (DE-588)4044779-0 (DE-588)4060694-6 (DE-588)4187419-5 |
title | Optimal transport for applied mathematicians calculus of variations, PDEs, and modeling |
title_auth | Optimal transport for applied mathematicians calculus of variations, PDEs, and modeling |
title_exact_search | Optimal transport for applied mathematicians calculus of variations, PDEs, and modeling |
title_full | Optimal transport for applied mathematicians calculus of variations, PDEs, and modeling Filippo Santambrogio |
title_fullStr | Optimal transport for applied mathematicians calculus of variations, PDEs, and modeling Filippo Santambrogio |
title_full_unstemmed | Optimal transport for applied mathematicians calculus of variations, PDEs, and modeling Filippo Santambrogio |
title_short | Optimal transport for applied mathematicians |
title_sort | optimal transport for applied mathematicians calculus of variations pdes and modeling |
title_sub | calculus of variations, PDEs, and modeling |
topic | Mathematics Measure theory Differential equations Partial differential equations Calculus of variations Calculus of Variations and Optimal Control; Optimization Ordinary Differential Equations Partial Differential Equations Measure and Integration Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Transportproblem (DE-588)4060694-6 gnd Variationsproblem (DE-588)4187419-5 gnd |
topic_facet | Mathematics Measure theory Differential equations Partial differential equations Calculus of variations Calculus of Variations and Optimal Control; Optimization Ordinary Differential Equations Partial Differential Equations Measure and Integration Mathematik Partielle Differentialgleichung Transportproblem Variationsproblem |
url | https://doi.org/10.1007/978-3-319-20828-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632820&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632820&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV036582883 |
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