title: Fast and accurate determination of the Wigner rotation matrices in the fast multipole method.
abstract: 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.
authors.affiliation: John von Neumann Institute for Computing, Central Institute for Applied Mathematics, Research Centre Jülich, 52425 Jülich, Germany. h.dachsel@fz-juelich.de
authors.forename: Holger
authors.initials: H
authors.lastname: Dachsel