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

作者：Shen, Jie; Xu, Jie^*; Zhang, Pingwen

来源：Journal of Scientific Computing, 2018, 74(3): 1706-1724.

DOI：10.1007/s10915-017-0515-7

• Wigner D-matrix
• SO(3)
• Error estimate
• Spectral-Galerkin
• Polymers

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.

• 出版日期2018-3
• 单位北京大学