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These O(N2) techniques successful on astrophysical problems of size a few thousand particles. Larger problems, such as on the scale of galaxies, do not calculate all pairs of particle interactions but use "fast multipole" and estimate force for areas of distant particles. The data structure for this technique is a Barnes-Hut tree.
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Burden, Richard L. and Faires, J. Douglas, Numerical Analysis. Fourth edition, PWS-Kent Publishing Company, 1989. This is basic ODE reference
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There is also ODE chapter from the CSEP book, http://www.npac.syr.edu/projects/csep/ode/ode.html
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Chapter 9 of Solving Problems on Concurrent Processors, Volume I does parallel O(N2) message parallel
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Salmon, John K. Parallel Hierarchial N-body Methods, dissertation from Caltech, technical report SCCS-52, CRPC-90-14, 1990 is original practical fast multipole.
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