Thomas J Bridges and Sebastian Reich 2006 J. Phys. A: Math. Gen. 39 5287 doi:10.1088/0305-4470/39/19/S02
Thomas J Bridges1 and Sebastian Reich2
Show affiliationsThe 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.
45.20.Jj Lagrangian and Hamiltonian mechanics
02.60.Lj Ordinary and partial differential equations; boundary value problems
Issue 19 (12 May 2006)
Received 13 September 2005, in final form 14 February 2006
Published 24 April 2006
Thomas J Bridges and Sebastian Reich 2006 J. Phys. A: Math. Gen. 39 5287
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