Paola GOATIN's teaching activity


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During seven years I have been Assistant Professor (Maïtre de Conférences) at ISITV (the Engineering School in Toulon), where I taught courses of Numerical Analysis, Finite Elements, Advanced Numerical Analysis, Hyperbolic Problems, Numerical Schemes for Hyperbolic Equations.

Since 2010, besides my research activity at INRIA Sophia Antipolis, I teach at Polytech Nice - Sophia:


Conservation laws and traffic models

* Topics covered:
  • Lecture 1: conservation laws, characteristics method, weak solutions, non-uniqueness. TD1
  • Lecture 2: entropy conditions, scalar Riemann problem. TD2
  • Lecture 3: the Riemann problem for systems.
  • Lecture 4: finite volume schemes.
  • Lecture 5: macroscopic traffic flow models.
  • Lecture 6: models for roads networks.
  • Lecture 7 and 8: small computing project.
  • * References:
  • Garavello, Mauro; Piccoli, Benedetto. Traffic flow on networks. Conservation laws models. AIMS Series on Applied Mathematics, 1. American Institute of Mathematical Sciences (AIMS), Springfield, MO, 2006.
  • Bressan, Alberto. Hyperbolic systems of conservation laws. The one-dimensional Cauchy problem. Oxford Lecture Series in Mathematics and its Applications, 20. Oxford University Press, Oxford, 2000.
  • LeVeque, Randall J. Numerical methods for conservation laws. Second edition. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, Basel, 1992.
  • * Past examinations:
  • 2010-2011: Exam, Correction
  • 2011-2012: Exam, Correction
  • 2012-2013: Exam, Correction
  • 2014-2015: Exam, Correction
  • 2016-2017: Exam, Correction