The design and analysis of spatial data structures
The design and analysis of spatial data structures
Introduction to parallel computing: design and analysis of algorithms
Introduction to parallel computing: design and analysis of algorithms
A parallel hashed Oct-Tree N-body algorithm
Proceedings of the 1993 ACM/IEEE conference on Supercomputing
Experiences with Parallel N-Body Simulation
IEEE Transactions on Parallel and Distributed Systems
Dynamic Compressed Hypertoctrees with Application to the N-Body Problem
Proceedings of the 19th Conference on Foundations of Software Technology and Theoretical Computer Science
Many-to-many personalized communication with bounded traffic
FRONTIERS '95 Proceedings of the Fifth Symposium on the Frontiers of Massively Parallel Computation (Frontiers'95)
A Provably Optimal, Distribution-Independent Parallel Fast Multipole Method
IPDPS '00 Proceedings of the 14th International Symposium on Parallel and Distributed Processing
IPPS '98 Proceedings of the 12th. International Parallel Processing Symposium on International Parallel Processing Symposium
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We describe the design and implementation of efficient parallel algorithms, and a software library for the parallel implementation of compressed octree data structures. Octrees are widely used in supporting hierarchical methods for scientific applications such as the N-body problem, molecular dynamics and smoothed particle hydrodynamics. The primary goal of our work is to identify and abstract the commonalities present in various hierarchical methods using octrees, design efficient parallel algorithms for them, and encapsulate them in a software library. We designed provably efficient parallel algorithms and implementation strategies that perform well irrespective of data distribution. The library will enable rapid development of applications, allowing application developers to use efficient parallel algorithms developed for this purpose, without the necessity of having detailed knowledge of the algorithms or of implementing them. The software is developed in C using the Message Passing Interface (MPI). We report experimental results on an IBM SP and a Pentium cluster.