Multisymplectic methods for membrane forced vibration equation
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    Abstract:

    The multisymplectic formulations of the membrane forced vibration equation with periodic boundary conditions in Hamilton space were considered. Using the RungeKutta multisymplectic method, a semiimplicit ninemultiply threepoint scheme with a symplectic conservation law was constructed to discrete the partial differential equation (PDE), which was derived from the membrane forced vibration equation. The results of the numerical experiments show that the multisymplectic scheme can not only improve the numerical accuracy effectively but also maintain the local properties of the vibration system. From the simulation results, we can conclude that the multisymplectic method has excellent longtime numerical behavior.

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History
  • Received:February 25,2008
  • Revised:June 04,2008
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