排序方式: 共有9条查询结果,搜索用时 0 毫秒
1
1.
A Fourier-Chebyshev pseudospectral scheme is proposed for three-dimensionalvorticily equation with unilaterally periodic boundary condition. The generalized stability and convergence are analysed. The numerical results are presented. 相似文献
2.
本期为庆贺著名数学家郭本瑜先生70华诞专辑,是全体弟子献给恩师的生日礼物.郭本瑜教授1942年生于浙江省宁波市,1965年毕业于上海科技大学并留校工作,历任助教、副教授、教授、副校长和校长,组建了上海市应用数学与计算数学研究所,1994年转入新组建的上海大学,任常务副校长,1999年起在上海师范大学工作,组建了上海市高等学校计算科学E-研究院,任首席研究员.他曾任中国计算数学学会和上海市数学会副理事长.他的研究领域是微分方程数值方法.至今发表330多篇论文,出版了学术专著《偏微分方程的差分方法》和《Spectral Methods and Their Applications》等. 相似文献
3.
In this paper, a combined Fourier spectral-finite element method is proposed for solving n-dimensional (n=2, 3), semi-periodio compressible fiuid flow problems. The strict error estimation as well as the convergence rate, is presented. 相似文献
4.
A Fourier spectral scheme is proposed for solving the periodic problem of nonlinear Klein-Gordon equation. Its stability and convergence are investigated. Numerical results are also presented. 相似文献
5.
6.
In this paper, we construct a spectral-finite element scheme for solving semi-periodical two-dimensional vorticity equations. The error between the genuine solution and approximate solutionis estimated strictly. The numerical results show the advantages of such a method. The techniqueused in this paper can be easily generalized to three-dimensional problems. 相似文献
7.
ThisresearchissupportedbytheNationalNaturalScienceFoundationofChina(1990-1992)andtheNaturalScienceFoundationofShanghai(1991-1993).1.IntroductionInfluiddynamics,numericalweatherpredictionandotherengineeringfields,therearelotsofpartialdifferentialequationsdefinedonsphericalsurface[1--3].Ofcourse,finitedifferenceandfiniteelementmethodsareapplicabletotheseproblemsI4].Buttheirconvergenceratesareusuallyrestricted.Ontheotherhand,withthesocalled"infiniteorder"ofconvergence,spectralmethodshavebeen… 相似文献
8.
A mixed Fourier-Chebyshev spectral method is constructed for three-dimensional vorticity equations with unilateral periodic boundary condition. The generalized stability and the convergence are analyzed. The optimal error estimation is given. The technique in this paper is also suitable for other nonlinear problems. 相似文献
9.
1