Brought to you by:

Numerical methods for Hamiltonian PDEs

and

Published 24 April 2006 • 2006 IOP Publishing Ltd
, , Citation Thomas J Bridges and Sebastian Reich 2006 J. Phys. A: Math. Gen. 39 5287 DOI 10.1088/0305-4470/39/19/S02

Download Article PDF

Article metrics

2150 Total downloads

Share this article

Author affiliations

1 Department of Mathematics, University of Surrey, Guildford, Surrey GU2 7XH, UK

2 Institut für Mathematik, Universität Potsdam, Postfach 60 15 53, D-14415 Potsdam, Germany

Dates

  1. Received 13 September 2005
  2. Published

Buy this article in print

0305-4470/39/19/5287

Abstract

The paper provides an introduction and survey of conservative discretization methods for Hamiltonian partial differential equations. The emphasis is on variational, symplectic and multi-symplectic methods. The derivation of methods as well as some of their fundamental geometric properties are discussed. Basic principles are illustrated by means of examples from wave and fluid dynamics.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue
Please wait… references are loading.
10.1088/0305-4470/39/19/S02