A minimal-variable symplectic method for isospectral flows
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DOI: 10.1007/s10543-019-00792-1
Abstract: Isospectral flows are abundant in mathematical physics; the rigid body, the the Toda lattice, the Brockett flow, the Heisenberg spin chain, and point vortex dynamics, to mention but a few. Their connection on the one… read more here.
Keywords: isospectral flows; variable symplectic; method isospectral; minimal variable ... See more keywords
Modelling damped acoustic waves by a dissipation-preserving conformal symplectic method
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DOI: 10.1098/rspa.2016.0798
Abstract: We propose a novel stable and efficient dissipation-preserving method for acoustic wave propagations in attenuating media with both correct phase and amplitude. Through introducing the conformal multi-symplectic structure, the intrinsic dissipation law and the conformal… read more here.
Keywords: dissipation preserving; damped acoustic; dissipation; symplectic method ... See more keywords
A Symplectic Algorithm for Constrained Hamiltonian Systems
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DOI: 10.3390/axioms11050217
Abstract: In this paper, a symplectic algorithm is utilized to investigate constrained Hamiltonian systems. However, the symplectic method cannot be applied directly to the constrained Hamiltonian equations due to the non-canonicity. We firstly discuss the canonicalization… read more here.
Keywords: systems symplectic; hamiltonian systems; symplectic algorithm; symplectic method ... See more keywords