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| δ-映射算法及其在非一致道路条件交通流问题中的应用 | |
| 引用本文： | 张鹏,刘儒勋,戴世强.δ-映射算法及其在非一致道路条件交通流问题中的应用[J].上海大学学报(英文版),2003,7(4):315-317. |
| 作者姓名： | 张鹏 刘儒勋 戴世强 |
| 作者单位： | [1]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China [2]DepartmentofMathematics,UniversityofScience＆TechnologyofChina,Hefei230026,China |
| 基金项目： | theNationalNaturalScienceFoundationofChina (GrantNos .1993 2 0 2 0 ,10 0 710 83 ) |
| 摘 要： | 1 Introduction Inhomogenetiesintrafficrefertothosefactorsre sultingfromthechangeintrafficflowvolumes ,suchasthechangeinthenumberoflanes ,thedegradationofroads,andthedisturbanceatazebracrossingoratollstation ,etc .Theconsiderationoftheinhomo geneitiesgivesrisetospatiallyvaryingfluxintrafficcontinuummodels ,whichareusuallynon strictlyhy perbolicandhavenotbeenwellunderstoodmathemat ically .Therelatedstudiesinliteraturewerefewandthebehaviorandtheinfluenceoftheseinhomo geneitieswerenotclearenough… |
| 关 键 词： | inhomogeneities non-strictly hyperbolicity δ-mapping algorithm. |
| 收稿时间： | 28 October 2003 |
<Emphasis Type="Italic">δ</Emphasis>-mapping algorithm and its application in traffic flow problems with inhomogeneities |
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| Zhang?Peng,Liu?Ru-Xun,Dai?Shi-Qiang. |
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| Authors: | Zhang Peng Liu Ru-Xun Dai Shi-Qiang |
| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;Department of Mathematics, University of Science & Technology of China, He fei 230026, China 2. Department of Mathematics, University of Science & Technology of China, He fei 230026, China 3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
| Abstract: | With the Riemann solver to the scalar hyperbolic conservation law with a spatially varying flux, a δ-mapping algorithm was proposed. The algorithm and its prospective application in traffic flow problems were briefed in the paper. Project supported by the National Natural Science Foundation of China (Grant Nos. 19932020, 10071083) |
| Keywords: | inhomogeneities non-strictly hyperbolicity δ -mapping algorithm |
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