A wideband fast multipole method for the Helmholtz equation in three dimensions
Journal of Computational Physics
Automatic Generation of FFT for Translations of Multipole Expansions in Spherical Harmonics
International Journal of High Performance Computing Applications
On the computation of ground state and dynamics of Schrödinger-Poisson-Slater system
Journal of Computational Physics
Adaptive fast multipole methods on the GPU
The Journal of Supercomputing
Faster fast evaluation of thin plate splines in two dimensions
Journal of Computational and Applied Mathematics
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A new version of the fast multipole method (FMM) for potential fields is presented. We introduce a new representation of potentials, in which most translation operators are diagonal. As a result, for double precision calculations in two dimensions we obtain an improvement of a factor of two to four in speed, compared to previously published algorithms; the improvement is expected to be much greater in three dimensions. The performance of the method is illustrated with several numerical examples.