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Symplectic wavelet collocation method for Hamiltonian wave equations
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DOI：10.1016/j.jcp.2009.11.042.png)
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This paper introduces a novel symplectic wavelet collocation method for solving nonlinear Hamiltonian wave equations. Based on the autocorrelation functions of Daubechies compactly supported scaling functions, collocation method is conducted for the spatial discretization, which leads to a finite-dimensional Hamiltonian system Then, appropriate symplectic scheme is employed for the integration of the Hamiltonian system. Under the hypothesis of periodicity, the properties of the resulted space differentiation matrix are analyzed in detail Conservation of energy and momentum is also investigated. Various numerical experiments show the effectiveness of the proposed method. (C) 2009 Elsevier Inc All rights reserved.
Keyword:
Wavelet collocation
Symplectic scheme
Hamiltonian system
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3.8
论文数:
1.6W
被引数:
7.4W
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