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Semi-discrete Fourier spectral approximations of infinite dimensional Hamiltonian systems and conservation laws. (English) Zbl 0715.70015
Summary: We discuss the semi-discrete Fourier spectral approximation for infinite dimensional Hamiltonian systems and pay more attention to the Hamiltonian structure. In this manner we consider further its preservation of conservation laws of the original Hamiltonian systems.

MSC:
70H05 Hamilton’s equations
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70-08 Computational methods for problems pertaining to mechanics of particles and systems
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