Corpus ID: 199064286

FaVeST: Fast Vector Spherical Harmonic Transforms

@article{Gia2019FaVeSTFV,
  title={FaVeST: Fast Vector Spherical Harmonic Transforms},
  author={Quoc Thong Le Gia and Ming Li and Yu Guang Wang},
  journal={ArXiv},
  year={2019},
  volume={abs/1908.00041}
}
  • Q. L. Gia, Ming Li, Yu Guang Wang
  • Published 31 July 2019
  • Physics, Mathematics, Computer Science
  • ArXiv
Vector spherical harmonics on the unit sphere of $\mathbb{R}^3$ have broad applications in geophysics, quantum mechanics and astrophysics. In the representation of a tangent vector field, one needs to evaluate the expansion and the Fourier coefficients of vector spherical harmonics. In this paper, we develop fast algorithms (FaVeST) for vector spherical harmonic transforms on these evaluations. The forward FaVeST evaluates the Fourier coefficients and has a computational cost proportional to $N… Expand

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