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Description and WENO numerical approximation to nonlinear waves of a multi-class traffic flow LWR model

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Publication:939925
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DOI10.1007/BF02465418zbMath1144.90342MaRDI QIDQ939925

Peng Zhang, Shi-qiang Dai, Ru-xun Liu

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)


zbMATH Keywords

hyperbolicityWENO schemecharacteristictraffic wave


Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Traffic problems in operations research (90B20)


Related Items

A note on the weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill-Whitham-Richards traffic flow model



Cites Work

  • Uniformly high order accurate essentially non-oscillatory schemes. III
  • Weighted essentially non-oscillatory schemes
  • Efficient implementation of weighted ENO schemes
  • TVB Uniformly High-Order Schemes for Conservation Laws
  • Total-Variation-Diminishing Time Discretizations
  • Shock Waves on the Highway
  • On kinematic waves II. A theory of traffic flow on long crowded roads
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