Volume 20, Issue 6
Von Neumann Stability Analysis of Symplectic Integrators Applied to Hamiltonian PDEs
DOI:

J. Comp. Math., 20 (2002), pp. 611-618

Published online: 2002-12

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• Abstract

Symplectic integration of separable Hamiltonian ordinary and partial differential equations is discussed. A von Neumann analysis is performed to achieve general linear stability criteria for symplectic methods applied to a restricted class of Hamiltonian PDE to form a system of Hamiltonian ODEs to which a symplectic integrator can be applied. In this way stability criteria are achieved by considering the spectra of linearised Hamiltonian PDEs rather than spatisl step size.

• Keywords

symplectic integration Hamiltonian PDEs linear stability von Neumann analysis

• AMS Subject Headings