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Article: A wavelet-galerkin method for the kinematic wave model of traffic flow

TitleA wavelet-galerkin method for the kinematic wave model of traffic flow
Authors
KeywordsDomain Transformation
Kinematic Wave Model
Traffic Flow Theory
Wavelets
Galerkin Method
Issue Date2000
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/
Citation
Communications In Numerical Methods In Engineering, 2000, v. 16 n. 2, p. 121-131 How to Cite?
AbstractIn this paper, a wavelet-Galerkin formulation with domain transformation is applied to solve the kinematic wave model of traffic flow. A domain transformation method is employed to resolve the constraints imposed on the solution variables. This avoids the problem of generating invalid solution of traffic states as with conventional numerical schemes for the wave model. With the localized scaling function or wavelet, the method is also capable of capturing the shock wave in the traffic model. Moreover, due to the localized characteristics of wavelets, the bandwidths of matrices are usually very small. Therefore, a robust band-matrix solver can be employed to enhance computational efficiency. Numerical examples are given to demonstrate the effectiveness of the proposed method. Copyright © 2000 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/150150
ISSN
2011 Impact Factor: 1.754
References

 

DC FieldValueLanguage
dc.contributor.authorWong, GCKen_US
dc.contributor.authorWong, SCen_US
dc.date.accessioned2012-06-26T06:01:51Z-
dc.date.available2012-06-26T06:01:51Z-
dc.date.issued2000en_US
dc.identifier.citationCommunications In Numerical Methods In Engineering, 2000, v. 16 n. 2, p. 121-131en_US
dc.identifier.issn1069-8299en_US
dc.identifier.urihttp://hdl.handle.net/10722/150150-
dc.description.abstractIn this paper, a wavelet-Galerkin formulation with domain transformation is applied to solve the kinematic wave model of traffic flow. A domain transformation method is employed to resolve the constraints imposed on the solution variables. This avoids the problem of generating invalid solution of traffic states as with conventional numerical schemes for the wave model. With the localized scaling function or wavelet, the method is also capable of capturing the shock wave in the traffic model. Moreover, due to the localized characteristics of wavelets, the bandwidths of matrices are usually very small. Therefore, a robust band-matrix solver can be employed to enhance computational efficiency. Numerical examples are given to demonstrate the effectiveness of the proposed method. Copyright © 2000 John Wiley & Sons, Ltd.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/en_US
dc.relation.ispartofCommunications in Numerical Methods in Engineeringen_US
dc.rightsCommunications in Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.-
dc.subjectDomain Transformationen_US
dc.subjectKinematic Wave Modelen_US
dc.subjectTraffic Flow Theoryen_US
dc.subjectWaveletsen_US
dc.subjectGalerkin Methoden_US
dc.titleA wavelet-galerkin method for the kinematic wave model of traffic flowen_US
dc.typeArticleen_US
dc.identifier.emailWong, SC:hhecwsc@hku.hken_US
dc.identifier.authorityWong, SC=rp00191en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/(SICI)1099-0887(200002)16:2<121::AID-CNM312>3.0.CO;2-W-
dc.identifier.scopuseid_2-s2.0-0033880024en_US
dc.identifier.hkuros49651-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033880024&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume16en_US
dc.identifier.issue2en_US
dc.identifier.spage121en_US
dc.identifier.epage131en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridWong, GCK=7402527086en_US
dc.identifier.scopusauthoridWong, SC=24323361400en_US

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