SIAM Journal on Scientific Computing
A wideband fast multipole method for the Helmholtz equation in three dimensions
Journal of Computational Physics
Petascale Direct Numerical Simulation of Blood Flow on 200K Cores and Heterogeneous Architectures
Proceedings of the 2010 ACM/IEEE International Conference for High Performance Computing, Networking, Storage and Analysis
A fast algorithm for simulating vesicle flows in three dimensions
Journal of Computational Physics
Short note: Efficient and accurate rotation of finite spherical harmonics expansions
Journal of Computational Physics
Hi-index | 31.46 |
In this paper, we present a simple and efficient method for rotating a spherical harmonic expansion. This is a well-studied problem, arising in classical scattering theory, quantum mechanics and numerical analysis, usually addressed through the explicit construction of the Wigner rotation matrices. We show that rotation can be carried out easily and stably through ''pseudospectral'' projection, without ever constructing the matrix entries themselves. Existing fast algorithms, based on recurrence relations, are subject to a variety of instabilities, limiting the effectiveness of the approach for expansions of high degree.