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谱方法的Chebyshev-Legendre变换 被引量:1

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摘要 在数值求解偏微方程的Chebyshev-Legendre谱方法中,起基础作用的是Chebyshev-Legendre变换。本文讨论了Chebyshev-Legendre变换的数学表示以及数值实现。
作者 赵廷刚 张刚
出处 《甘肃高师学报》 2006年第2期1-3,共3页 Journal of Gansu Normal Colleges
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同被引文献15

  • 1Reiji Suda, Masayasu Takami. A fast spherical harmon- ics transform algorithm[J]. Mathematics of Computa- tion, 2001, 71(238): 703-715.
  • 2Martin J. Mohlenkamp. A fast transform for spherical harmonics[J]. The Journal of Fourier Analysis and Ap- plications, 1999,2(2/3): 159-184.
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  • 4Marcia A Inda, Rob H Bisseling, David K Maslen. On the efficient parallel computation of legendre transforms [J]. SIAMJ SCI Comput, 2001, 23(1): 271-303.
  • 5Xiao Huadong, Lu Yang. Parallel computation for spherical harmonic synthesis and analysis[J]. Comput- ers Geosciences, 2007 (33):311-317.
  • 6Matthew G Reuter, Mark A Ratner, Tamar Seideman. A fast method for solving both time-dependent Schrod- inger equation in angular coordinates and its associated "m-mixing" problem [J]. The Journal of Chemical Physics, 2009(131) :94-108.
  • 7B Alpert, V Rokhlin. A fast algorithm for the evalua- tion of Legendre expansions [J]. SIAM J Sci Statist Comput, 1991(12): 158-179.
  • 8S Chandrasekaran, M Gu. A divide--and--conquer al- gorithm for the eigendecomposition of symmetric block-diagonal plus semiseparable matrices [J]. Numer Math, 2004, 96. 723-731.
  • 9Healy D M, Kostelec P J, Rockmore D. Towards safe and effective highorder Legendre transforms with ap- plications to FFTs for the 2-sphere[J]. Adv Comput Math, 2004(21): 59-105.
  • 10Press W H, Teukolsky S A, Vetterling W T,etal. Nu- merical recipes in fortran 77[M]. 2nd. Cambridge, UK.. Cambridge University Press, 1992.

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