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摘要
An energy conserving spectral scheme is presented for solving numerically the periodic dynamic elastica. The spatial discretization of the elastica is done on the basis of Galerkin spectral methods with a Chebyshev grid. By comparing numerical solutions with the exact solution, it is verified that the scheme achieves the fourth-order convergence with respect to the grid size. Moreover, an empirical condition is given for the stability of the scheme.
- 出版日期2013-11-1
