| 8 | VON NEUMANN STABILITY ANALYSIS OF SYMPLECTIC INTEGRATORS APPLIED TO HAMILTONIAN PDEs显示文摘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 PDEs. In this treatment, the symplectic step is performed prior to the spatial step, as opposed to the standard approach of spatially discretising the 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 spatial step size. | Helen M. Regan (Applied Biomathematics 100 North Country Road, Setauket, New York 11733, USA)Current address: National Center for Ecological Analysis and Synthesis, University of California Santa Barbara, 735 State St., Suite 300, Santa Barbara, CA 93101, USA. Email: regan@nceas.ucsb.edu, Phone: (805) 892 2522, Fax: (805) 892 2510. | 2002 | Journal of Computational Mathematics2002，20，6： | 0 |
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