论文信息 - Fast and accurate determination of the Wigner rotation matrices in the fast multipole method.

Fast and accurate determination of the Wigner rotation matrices in the fast multipole method.

In the rotation based fast multipole method the accurate determination of the Wigner rotation matrices is essential. The combination of two recurrence relations and the control of the error accumulations allow a very precise determination of the Wigner rotation matrices. The recurrence formulas are simple, efficient, and numerically stable. The advantages over other recursions are documented.

Holger Dachsel | H. Dachsel

[1] V. Rokhlin. Rapid solution of integral equations of classical potential theory , 1985 .

[2] John A. Board,et al. Fast Fourier Transform Accelerated Fast Multipole Algorithm , 1996, SIAM J. Sci. Comput..

[3] Mark S. Gordon,et al. Rapid and stable determination of rotation matrices between spherical harmonics by direct recursion , 1999 .

[4] Ian J. Davis. A Fast Radix Sort , 1992, Comput. J..

[5] Martin Head-Gordon,et al. Rotating around the quartic angular momentum barrier in fast multipole method calculations , 1996 .

[6] C. Sarasola,et al. Evaluation of screened nuclear attraction and electron repulsion molecular integrals over Gaussian basis functions , 1997 .

[7] J. Dawson. Particle simulation of plasmas , 1983 .

[8] L. Greengard. The Rapid Evaluation of Potential Fields in Particle Systems , 1988 .

[9] Martin Head-Gordon,et al. Derivation and efficient implementation of the fast multipole method , 1994 .

[10] J. Banavar,et al. Computer Simulation of Liquids , 1988 .

[11] A. R. Edmonds. Angular Momentum in Quantum Mechanics , 1957 .