Approximations on SO(3) by Wigner D-matrix and Applications

نویسندگان

  • Jie Shen
  • Jie Xu
  • Pingwen Zhang
چکیده

We consider approximations on SO(3) by Wigner D-matrix. We establish basic approximation properties of Wigner D-matrix, develop efficient numerical schemes using Wigner D-matrix for elliptic and parabolic equations on SO(3), and establish corresponding optimal error estimates. Numerical examples are presented to validate the theoretical estimates and illustrate a physical application. keywords. Wigner D-matrix, SO(3), error estimate, spectral-Galerkin, polymers AMS subject classifications. 41A30, 65N35, 65M70

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عنوان ژورنال:
  • J. Sci. Comput.

دوره 74  شماره 

صفحات  -

تاریخ انتشار 2018