0000000000255106

AUTHOR

R. Donat

showing 2 related works from this author

Une sépulture collective de la fin du Néolithique au cœur du district minier de Cabrières-Péret (Hérault) : la grotte du Rhinocéros 4

2014

International audience

[SHS.ARCHEO] Humanities and Social Sciences/Archaeology and Prehistory[SHS.ARCHEO]Humanities and Social Sciences/Archaeology and PrehistoryComputingMilieux_MISCELLANEOUS
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The eigen-structure of the Jacobian in multi-class Lighthill-Whitham-Richards traffic flow models

2007

Characteristic-based High Resolution Shock Capturing schemes for hyperbolic systems of conservation laws require, in their basic design structure, knowledge on the complete eigen-decomposition of the Jacobian matrix of the system. For the Multi-Class Lighthill-Witham-Richards (MCLWR) Traffic flow model considered in [4], there is no explicit formula for the eigenvalues of the Jacobian matrix, which can only be determined numerically. However, once they are determined, the eigen-vectors are easily computed and straightforward formulas can be obtained by exploiting the specific structure of the Jacobian matrix in these models. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Microscopic traffic flow modelConservation lawClass (set theory)symbols.namesakeJacobian matrix and determinantCalculusStructure (category theory)symbolsApplied mathematicsHyperbolic systemsEigenvalues and eigenvectorsMathematicsShock (mechanics)PAMM
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