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三维涡度方程双向周期问题的拟谱─差分解法
引用本文:郭本瑜,熊跃山.三维涡度方程双向周期问题的拟谱─差分解法[J].数学研究及应用,1994,14(1):1-23.
作者姓名:郭本瑜  熊跃山
作者单位:上海科学技术大学;上海科学技术大学
摘    要:本文构造了三维涡度方程双向周期问题的Fourier拟谱─差分格式,其数值解满足半离散守恒律.文中分析了格式的广义稳定性和收敛性.数值例子表明这类格式的优越性.

收稿时间:1992/5/20 0:00:00

Pseudospectral-Finite Difference Metliod forThree-Dimensional Vorticity Equation with BilaterallyPeriodic Boundary Conditions
Guo Bengu and Xiong yueshan.Pseudospectral-Finite Difference Metliod forThree-Dimensional Vorticity Equation with BilaterallyPeriodic Boundary Conditions[J].Journal of Mathematical Research with Applications,1994,14(1):1-23.
Authors:Guo Bengu and Xiong yueshan
Institution:Shanghai University of Science and Technology; Shanghai;Shanghai University of Science and Technology; Shanghai
Abstract:A Fourier pseudospectral-finite difference scheme is proposed for three-dimensional vorticity equation with bilaterally periodic boundary conditions. The nu-merical solution Possesses semi-discrete conservation. The generalized stability and con-vergence are analyzed.
Keywords:Three-dimensional vorticity eqution  bilaterally Periodic boundary condi-tion  pseudospectral-finite difference scheme  
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