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Jacobi正交多项式的一些性质 被引量：1

Some Properties of Jacobi Orthogonal Polynomials
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摘要 Jacobi正交多项式被广泛地应用于Jacobi谱方法的数值分析中,它的性质对于误差分析极其重要.通过总结Jacobi正交多项式的一些性质,给出了它的一些新性质. Jacobi orthogonal polynomials are extensively used in numerical analysis of Jaeobi spectral methods. The properties of Jacobi orthogonal polynomials play a key role to error analysis of Jacobi spectral methods. Some properties of Jaeobi orthogonal polynomials are collected and also some new properties are presented in this paper.
作者 赵廷刚 张建宏
机构地区 兰州城市学院数学学院 甘肃省临夏南龙中学
出处 《甘肃高师学报》 2009年第5期1-3,共3页 Journal of Gansu Normal Colleges
关键词 JACOBI多项式 谱方法 正交多项式 Jacobi polynomials spectral methods orthogonal polynomials
分类号 O175.26 [理学—基础数学]
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参考文献2

  • 1Ben-yu Guo(Department of Mathematics, Shanghai Normal University, Shanghai 200234, China)(COM2MAC, Pohang University of Science and Technology, Pohang, Korea).JACOBI SPECTRAL APPROXIMATIONS TO DIFFERENTIALEQUATIONS ON THE HALF LINE[J].Journal of Computational Mathematics,2000,18(1):95-112. 被引量：10
  • 2Guo Ben-yu,Wang Li-lian. Jacobi interpolation approximations and their applications to singular differential equations[J] 2001,Advances in Computational Mathematics(3):227～276

二级参考文献20

  • 1R. Courant,K. Friedrichs,H. Lewy.über die partiellen Differenzengleichungen der mathematischen Physik[J]. Mathematische Annalen . 1928 (1)
  • 2Guo Ben-yu.Error estimation of Hermite spectral method for nonlinear partial differentialequations. Mathematics of Computation . 1999
  • 3Coulaud O,Funaro D,and Kavian O.Laguerre spectral approximation of elliptic prob-lems in exterior domains. Comp. Mech. in Appl. Mech. and Engi . 1990
  • 4Funaro D.Estimates of Laguerre spectral projectors in Sobolev spaces.In: Brezinski C.Gori L. Ronveaux A. ed . 1991
  • 5FUNARO D,KAVIAN O.Approximation of some diffusion evolution equations in unbounded domains by Hermite functions. Mathematics of Computation . 1990
  • 6R. Askey.Orthogonal Polynomials and Special Functions. Regional Conference Series inApplied Mathematics . 1975
  • 7Timan,A. F. Theory of approximation of functions of a real variable . 1963
  • 8Bergh J,Lfstrm J.Interpolation Space:An Introduction. . 1976
  • 9Abramowitz,M.,Stegun,I.A. Handbook of Mathematical Functions . 1970
  • 10Guo Ben-yu.A Class of Difference Schemes of Two-Dimensional Viscous Fluid Flow. Acta Mathematica Sinica . 1974

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甘肃高师学报
2009年 第5期

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