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Date: Tue, 10 Dec 1996 22:04:37 GMTServer: NCSA/1.4.2Content-type: text/htmlLast-modified: Mon, 29 Jul 1996 17:15:45 GMTContent-length: 1515<HTML><HEAD><TITLE>Experimental Analysis of Treecodes</TITLE></HEAD><body bgcolor="#ffffff" text="#000070" vlink="#000000" link="#000000"><H1><!WA0><A HREF="http://www.cs.washington.edu/homes/sds/papers/quals.ps">Experimental Analysis of Treecodes for Astronomical Simulations</A></H1><BR></BODY> The introduction of hierarchical tree data-structures to solve the  <I>N</I>-body problem have led to a host of algorithms with asymptotic  complexities ranging from O(<I>n</I> log  <I>n</I>) to  O(<I>n</I>). Although the asymptotic complexity of different<I>treecodes</I> are  competitive, the constant factors between the algorithms  have a significant impact on the CPU time. In this paper  we examine the performance of a class of treecodes to compare the  effectiveness of different tree structures for <I>N</I>-body simulation.  We investigate the performance of these treecodes in both the serial  and parallel cases.<p> <HR>This work is in connection with a project on <!WA1><A HREF="http://www.cs.washington.edu/homes/anderson/research.html">data structures</A> by Prof. <!WA2><A HREF="http://www.cs.washington.edu/homes/anderson">Richard Anderson</A>.  A <!WA3><A HREF="http://www.cs.washington.edu/homes/anderson/papers/tree.ps">draftpaper</A> is also available.<P>I have also put together a simple applet that animates an <!WA4><A HREF="http://www.cs.washington.edu/homes/sds/nbody.html" <I>N</I>-body simulation</A>.<HR><ADDRESS><!WA5><A HREF="mailto:sds@cs.washington.edu">Sean David Sandys &lt;sds@cs.washington.edu&gt;</A> <P>Last revised: April 4, 1995</ADDRESS></HTML>

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