High Order Nonlinear Numerical Schemes for Evolutionary PDEs

Proceedings of the European Workshop HONOM 2013, Bordeaux, France, March 18-22, 2013

  • Rémi Abgrall
  • Héloïse Beaugendre
  • Pietro Marco Congedo
  • Cécile Dobrzynski
  • Vincent Perrier
  • Mario Ricchiuto

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 99)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Karim Grimich, Bertrand Michel, Paola Cinnella, Alain Lerat
    Pages 37-58
  3. Florian Haider, Pierre Brenner, Bernard Courbet, Jean-Pierre Croisille
    Pages 59-75
  4. Alessandra Nigro, Carmine De Bartolo, Francesco Bassi, Antonio Ghidoni
    Pages 135-149
  5. Miloslav Feistauer, Jan Česenek, Martin Hadrava, Jaromír Horáček, Adam Kosík
    Pages 185-208
  6. Back Matter
    Pages 209-215

About these proceedings


This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013. The central topic is high order methods for compressible fluid dynamics. In the workshop, and in this proceedings, greater emphasis is placed on the numerical than the theoretical aspects of this scientific field.

The range of topics is broad, extending through algorithm design, accuracy, large scale computing, complex geometries, discontinuous Galerkin, finite element methods, Lagrangian hydrodynamics, finite difference methods and applications and uncertainty quantification. These techniques find practical applications in such fields as fluid mechanics, magnetohydrodynamics, nonlinear solid mechanics, and others for which genuinely nonlinear methods are needed.


compressible fluid dynamics high order methods

Editors and affiliations

  • Rémi Abgrall
    • 1
  • Héloïse Beaugendre
    • 2
  • Pietro Marco Congedo
    • 3
  • Cécile Dobrzynski
    • 4
  • Vincent Perrier
    • 5
  • Mario Ricchiuto
    • 6
  1. 1.Institute of MathematicsUniversity of ZurichZurichSwitzerland
  2. 2.INRIA and Institut Polytechnique de BordeauxInstitut de Mathématiques de BordeauxTalenceFrance
  3. 3.INRIAInstitut de Mathématiques de BordeauxTalenceFrance
  4. 4.INRIA and Institut Polytechnique de BordeauxInstitut de Mathématiques de BordeauxTalenceFrance
  5. 5.INRIALaboratoire de Mathématiques et de leurs ApplicationsPauFrance
  6. 6.INRIAInstitut de Mathématiques de BordeauxTalenceFrance

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-05454-4
  • Online ISBN 978-3-319-05455-1
  • Series Print ISSN 1439-7358
  • Series Online ISSN 2197-7100
  • Buy this book on publisher's site