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In this paper we develop a Fourier pseudospectral method forsolving two-dimensional vorticity equations. We prove the generalizedstability of the schemes and give convergence estimations dependingon the smoothness of the solution of the vorticity equations. Spectral methods have been applied widely to the partial differentialequations of fluid dynamics [411]. Guo Ben-yu proposeda technique to estimate strictly the error of the spectral schemesfor the K.D.V.-Burgers equation, the two-dimensional vorticityequations, and the Navier-Stokes equations [5,6,8]. On the otherhand, the authors [7,10] developed a pseudospectral method byusing Riesz spherical means to get better results. In this paper,we generalize this method to two-dimensional vorticity equations.The generalized stability and the convergence are proved. Thenumerical results show the advantage of such a method. 相似文献
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本文提出了一种关于一维和二维量子自旋系统的Monte Carlo模拟新算法。具体给出了对于一维和二维Heisenberg模型的计算方案。在s=1/2的铁磁和反铁磁链情况下的计算结果证实了此方法有效地克服了“临界慢化(CSD)”效应和能够达到更低的温度区域进行计算。该方法可推广到各向异性和高自旋(s=1,3/2,…)量子系统、二维经典8-顶角格点模型和低维费密系统。
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利用一种有效的Monte Carlo簇团迭代方法进行了关于二维反铁磁Heisenberg量子模型的数值研究。比较手征微扰理论的有关解析结果,在有限温度和有限体积下精确地确定了该系统的重要低能参数:基态能量密度eo=-0.6693(1)J/a2,参差磁化强度Ms=0.3076(4)/a2,自旋波速度?c=1.68(1)Ja和自旋块度(spin stiffness)ρs=0.185(5)J。计算结果与
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