Next:    About this document 
Up: Yet another fast multipole 
 Previous: 6 Conclusion
 
 
 
References
- 1
 - 
C. R.  Anderson,  An implementation of the fast multipole method without
  multipoles,
  SIAM J. Sci. Stat. Comput.
   13, 923  (1992).
 - 2
 - 
A. W.  Appel, An efficient program for many-body simulation.
  SIAM J. Sci. Stat. Comput.
 6, 85 (1985).
 - 3
 - 
J. Barnes  and P. Hut, A hierarchical 
 force calculation algorithm.
  Nature    324, 446 (1986).
 - 4
 - 
D. Blackston  and T. Suel, Highly portable and efficient implementations of
  parallel adaptive n-body methods.
 in  Proceedings of SC97. (ACM, 1997)  (CD-ROM edition).
 - 5
 - 
W. D. Elliott and J. A. Board, Jr. Fast Fourier transform accelerated fast multipole
  algorithm.
  SIAM J. Sci. Comput.  17,
  398 (1996).
 - 6
 - 
L. Greengard and V. A. Rokhlin, Fast algorithm for particle simulations.
  J.  Comput. Phys.  73, 325 (1987).
 - 7
 - 
L. Greengard and V. Rokhlin, Rapid evaluation of potential fields in
  three dimensions.
 in   Vortex Methods, No. 1360
  in Lecture Notes in Mathematics,  edited by C. Anderson  and
C. Greengard, (Springer-Verlag, Berlin 1988), p. 121.
 - 8
 - 
L. Greengard and V. Rokhlin, A new version of the Fast Multipole
Method for the Laplace equation in three dimensions.
  Acta Numerica  6, 229 (1997).
 - 9
 - 
R. H. Hardin  and N. J. Sloane, McLaren's improved snub cube and other new
  spherical designs in three dimensions.
  Discrete and Computational Geometry,   15, 429 (1996).
 - 10
 - 
J. Makino, Treecode with a special-purpose processor.
  Publications of the Astronomical Society of Japan    43 621--638  (1991).
 - 11
 - 
A. D. McLaren, Optimal numerical integration on a sphere.
  Math. Comput.   17 361--383  (1963).
 - 12
 - 
J. Makino  and M. Taiji,  Special Purpose Computers for Scientific
  Simulations -- The GRAPE systems.
(John Wiley and Sons, Chichester, 1998).
 - 13
 - 
S. Pfalzner and P. Gibbon  Many-body tree method in physics,
 (Cambridge University Press, Cambridge, 1996).
 - 14
 - 
D. Sugimoto, Y. Chikada, J. Makino, T. Ito, T. Ebisuzaki, and
M. Umemura, A 
  special-purpose computer for gravitational many-body problems.
  Nature   345 33--35  (1990).
 - 15
 - 
J. K. Salmon, G. S. Winckelmans, and M. S. Warren, Fast parallel treecodes for
  gravitational and fluid dynamical N-body problems.
  Intl. J. Supercomputer Appl.   8, 129 (1994).
 - 16
 - 
C. A. White and M. Head-Gordon, Rotating around the quartic angular
momentum barrier in fast multipole method calculations,
  J. Chem. Phys.   105, 22 (1996).
 
 
Jun Makino 
Tue Feb 16 23:27:09 JST 1999