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SRLW方程的Fourier拟谱方法

郑家栋 张汝芬 郭本瑜

郑家栋, 张汝芬, 郭本瑜. SRLW方程的Fourier拟谱方法[J]. 应用数学和力学, 1989, 10(9): 801-810.
引用本文: 郑家栋, 张汝芬, 郭本瑜. SRLW方程的Fourier拟谱方法[J]. 应用数学和力学, 1989, 10(9): 801-810.
Zheng Jia-dong, Zhang Ru-fen, Guo Ben-yu. The Fourier Pseudo-Spectral Method for the SRLW Equation[J]. Applied Mathematics and Mechanics, 1989, 10(9): 801-810.
Citation: Zheng Jia-dong, Zhang Ru-fen, Guo Ben-yu. The Fourier Pseudo-Spectral Method for the SRLW Equation[J]. Applied Mathematics and Mechanics, 1989, 10(9): 801-810.

SRLW方程的Fourier拟谱方法

The Fourier Pseudo-Spectral Method for the SRLW Equation

  • 摘要: 本文研究用带抑制算子的Foutier拟谱方法求解SRLW方程,我们证明格式的稳定性,并给出最佳误差估计.
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    [2] Guo Ben-yu,Weak stability of nonlinear discretization,Kexue Tongbao,30(1985),143-147.
    [3] Guo Bo-ling,The spectral method for a symmetric regularized wave equations,(to appear)
    [4] Ma He-ping and Guo Ben-yu,The Fourier pseudo-spectral method with a restraint operator for the Korteweg-de Vries equation,J.Comput.Phys.,65(1986),120-137.
    [5] Pasciak,J.E.,Spectral and pseudo-spectral methods for advection equation.Math.Comp.,35(1980),1081-1092.
    [6] Seyler C.E.and D.C.Faustermacler,A symmetric regularized long wave equation,Phys.Fluids,27(1984),4-7.
    [7] Ma He-ping and Guo Ben-yu,The Fourier pseudo-spectral method for two-dimensional vorticity equations,IMA J.Num.Anal.,7(1987),47-60.
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出版历程
  • 收稿日期:  1988-08-24
  • 刊出日期:  1989-09-15

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