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Numerical Method for the Computation of Tangent Vectors to 2 x 2 Hyperbolic Systems of Conservation Laws

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TypeOfResource
Text
TitleInfo
Title
Numerical Method for the Computation of Tangent Vectors to 2 x 2 Hyperbolic Systems of Conservation Laws
Name (type = personal)
NamePart (type = family)
Herty
NamePart (type = given)
Michael
Affiliation
Aachen University
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (type = personal)
NamePart (type = family)
Piccoli
NamePart (type = given)
Benedetto
Affiliation
Mathematical Sciences, Rutgers University
Role
RoleTerm (authority = marcrt); (type = text)
author
Name (authority = RutgersOrg-Department); (type = corporate)
NamePart
Mathematical Sciences
Name (authority = RutgersOrg-School); (type = corporate)
NamePart
Camden College of Arts and Sciences
Genre (authority = RULIB-FS)
Article, Refereed
Genre (authority = NISO JAV)
Accepted Manuscript (AM)
OriginInfo
DateCreated (encoding = w3cdtf); (keyDate = yes); (qualifier = exact)
2016
Publisher
International Press
Language
LanguageTerm (authority = ISO 639-3:2007); (type = text)
English
PhysicalDescription
InternetMediaType
application/pdf
Extent
23 p.
Extension
DescriptiveEvent
Type
Citation
AssociatedObject
Name
Communications in Mathematical Sciences
Type
Journal
Relationship
Has part
Identifier (type = volume and issue)
14(3)
Detail
683-704
Reference (type = url)
http://dx.doi.org/10.4310/CMS.2016.v14.n3.a5
DateTime (encoding = w3cdtf)
2016
Subject (authority = LCSH)
Topic
Conservation laws (Mathematics)
Subject (authority = LCSH)
Topic
Mathematical optimization
Subject (authority = local)
Topic
Tangent vectors
Abstract (type = abstract)
We are interested in the development of a numerical method for solving optimal control problems governed by hyperbolic systems of conservation laws. The main difficulty of computing the derivative in the case of shock waves is resolved in the presented scheme. Our approach is based on a combination of a relaxation approach in combination with a numerical scheme to resolve the evolution of the tangent vectors. Numerical results for optimal control problems are presented.
Note (type = version identification)
First published in Communications in Mathematical Sciences, published by International Press.
RelatedItem (type = host)
TitleInfo
Title
Piccoli, Benedetto
Identifier (type = local)
rucore30182700001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T3ZK5JNP
Genre (authority = ExL-Esploro)
Accepted Manuscript
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Copyright for scholarly resources published in RUcore is retained by the copyright holder. By virtue of its appearance in this open access medium, you are free to use this resource, with proper attribution, in educational and other non-commercial settings. Other uses, such as reproduction or republication, may require the permission of the copyright holder.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsEvent
Type
Permission or license
AssociatedObject
Type
License
Name
Multiple author license v. 1
Detail
I hereby grant to Rutgers, The State University of New Jersey (Rutgers) the non-exclusive right to retain, reproduce, and distribute the deposited work (Work) in whole or in part, in and from its electronic format, without fee. This agreement does not represent a transfer of copyright to Rutgers. Rutgers may make and keep more than one copy of the Work for purposes of security, backup, preservation, and access and may migrate the Work to any medium or format for the purpose of preservation and access in the future. Rutgers will not make any alteration, other than as allowed by this agreement, to the Work. I represent and warrant to Rutgers that the Work is my original work. I also represent that the Work does not, to the best of my knowledge, infringe or violate any rights of others. I further represent and warrant that I have obtained all necessary rights to permit Rutgers to reproduce and distribute the Work and that any third-party owned content is clearly identified and acknowledged within the Work. By granting this license, I acknowledge that I have read and agreed to the terms of this agreement and all related RUcore and Rutgers policies.
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RULTechMD (ID = TECHNICAL1)
ContentModel
Document
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