SIAM Journal on Scientific and Statistical Computing
Astrophysical N-body simulations using hierarchical tree data structures
Proceedings of the 1992 ACM/IEEE conference on Supercomputing
A parallel hashed Oct-Tree N-body algorithm
Proceedings of the 1993 ACM/IEEE conference on Supercomputing
ACM Transactions on Mathematical Software (TOMS)
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This paper discusses the scalability properties of a novel algorithm for the rapid evaluation of radial basis function interpolants. The algorithm is associated with the problem of force calculation in many-body calculations. Contrary to previously developed fast summation schemes including treecodes and fast multipole methods, this algorithm has simple communication patterns which are achieved by exploiting the localisation and smoothness properties of radial basis functions. Thus, the algorithm is scalable even in low bandwidth environments like clusters of workstations and even for relatively small problem sizes.