An Effective Dissipation-Preserving Fourth-Order Difference Solver for Fractional-in-Space Nonlinear Wave Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-019-00921-6
Abstract: In this paper, we devise an efficient dissipation-preserving fourth-order difference solver for the fractional-in-space nonlinear wave equations. First of all, we present a detailed derivation of the discrete energy dissipation property of the system. Then,… read more here.
Keywords: dissipation; preserving fourth; fourth order; order difference ... See more keywords
A dissipation-preserving scheme for damped oscillatory Hamiltonian systems based on splitting
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DOI: 10.1016/j.apnum.2021.08.001
Abstract: Abstract In this paper, a new dissipation-preserving scheme is established for weakly dissipative perturbations of oscillatory Hamiltonian systems. The system exhibits a nonlinear oscillatory structure. The main oscillation is governed by a matrix M and… read more here.
Keywords: preserving scheme; scheme; hamiltonian systems; oscillatory hamiltonian ... See more keywords
Modelling damped acoustic waves by a dissipation-preserving conformal symplectic method
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
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