Skeletons from the Treecode Closet

@inproceedings{Salmon1994SkeletonsFT,
  title={Skeletons from the Treecode Closet},
  author={John K. Salmon and Michael S. Warren},
  year={1994}
}
We consider treecodes (N-body programs which use a tree data structure) from the standpoint of their worst-case behavior. That is, we derive upper bounds on the largest possible errors that are introduced into a calculation by use of various multipole acceptability criteria (MAC). We find that the conventional Barnes-Hut MAC can introduce potentially unbounded errors unless < 1=p3, and that this behavior while rare, is demonstrable in astrophysically reasonable examples. We consider two other… CONTINUE READING
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