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FOURIER-LEGENDRE SPECTRAL METHOD FOR THE UNSTEADY NAVIER-STOKES EQUATIONS 被引量:1

FOURIER-LEGENDRE SPECTRAL METHOD FOR THE UNSTEADY NAVIER-STOKES EQUATIONS
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摘要 Fourier-Legendre spectral approximation for the unsteady Navier-Stokes equations is analyzed. The generalized stability and convergence are proved respectively. Fourier-Legendre spectral approximation for the unsteady Navier-Stokes equations is analyzed. The generalized stability and convergence are proved respectively.
作者 LI, J GUO, BY
出处 《Journal of Computational Mathematics》 SCIE CSCD 1995年第2期144-155,共12页 计算数学(英文)
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同被引文献8

  • 1Guo,Benyu. Difference Methods for Partial Differential Equations . 1988
  • 2Guo Ben-yu,,Jian Li.Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation[].Numerical Mathematics.1993
  • 3Malik,M. R.,Zang,T. A.,Hussaini,M. Y.A spectral collocation method for the Navier-Stokes equations[].Journal of Computational Physics.1985
  • 4Bernardi C,Maday Y,Metivet B.Spectral approximation of the periodic-nonperiodic Navier Stokes equations[].Numerical Mathematics.1987
  • 5Lions J L.On the numerical approximation of some equations arising in hydrodynamics[].Numerical Solution of Field Problems in Continuum PhysicsSIAM- AMS ProceedingsⅡ.1970
  • 6Canuto,C.,Hussaini,M. Y.,Quarteroni,A.,Zang,T. A. Spectral Methods in Fluid Dynamics . 1988
  • 7Guo Ben-yu,Ma He-ping,Cao Wei-ming,Huang Hui.The Fourier-Chebyshevspectral method for solving two-dimensional unsteady vorticity equations[].J Com-put Phys.1992
  • 8曹卫明,郭本瑜.三维涡度方程单向周期解问题的Fourier—Chebyshev的混合谱方法[J].高校应用数学学报(A辑),1992,7(3):350-366. 被引量:1

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