First-Order PDEs

  • Alexandre Ern
  • Jean-Luc Guermond
Part of the Applied Mathematical Sciences book series (AMS, volume 159)


This chapter deals with first-order PDEs and, more generally, with problems where solution and test spaces are different and where no coercivity property holds. The prototypical example is the advection equation.


Bilinear Form Discontinuous Galerkin Discrete Problem Discontinuous Galerkin Method Galerkin Approximation 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Alexandre Ern
    • 1
  • Jean-Luc Guermond
    • 2
  1. 1.CERMICS, ENPCMarne la Vallée cedex 2France
  2. 2.LIMSI, CNRSOrsay cedexFrance

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