next up previous
Next: Title and Abstract Up: 研究展望:高速多重極展開法---粒子法への応用を中心として Previous: 7. まとめ

References

1
西村直志, 吉田 研一, 小林昭一: 多重極積分方程式法による3次元クラック問題の解析について, 境界要素法論文集, Vol.14, pp.37--42, 1997.

2
福井卓雄, 服部純一, 土居野優: 高速多重極法の境界要素解析への応用, 構造工学論文集, Vol.43, pp.373--382 1997.

3
Anderson C. R.: An implementation of the fast multipole method without multipoles. SIAM Journal on Scientific and Statistical Computing, Vol.13, pp.923--947, 1992.

4
Appel A. W.: An efficient program for many-body simulation, SIAM Journal on Scientific and Statistical Computing, Vol.6, pp.85--103, January 1985.

5
Barnes J. E.: A modified tree code: don't laugh; it runs, , Vol.87, pp.161--170, 1990.

6
Barnes J. and Hut P.: A hiearchical o(nlogn) force calculation algorithm, Nature, Vol.324, pp.446--449, 1986.

7
Board J. A., Jr, Hakura Z. S., Elliott W. D., and Rankin W. T.: Scalable variants of multipole-based algorithms for molecular dynamics applications. In D. H. Bailey et al. (ed) Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, pp.295--300. SIAM, Philadelphia, 1995.

8
Board J. A. Jr, Humphres C. W., Lambert C. G., Rankin W. T., and Toukmaji A. Y. : Ewald and multipole methods for periodic n-body problems. In Proceedings of the Eigth SIAM Conference on Parallel Processing for Scientific Computing, SIAM, Philadelphia, 1997.

9
Blackston D. and Suel T.: Highly portable and efficient implementations of parallel adaptive n-body methods. In Proceedings of SC97, (CD--ROM). ACM, 1997.

10
Elliott W. D. and Board J. A., Jr.: Fast fourier transform accelerated fast multipole algorithm. SIAM Journal on Scientific Computing, Vol.17, pp.398--415, 1996.

11
Greengard L. and Rokhlin V.: Rapid evaluation of potential fields in three dimensions, In C. Anderson and C. Greengard (ed) Voltex Methods, pp.121--141, Springer-Verlag, Berlin, 1988.

12
Greengard L. and Rokhlin V.: A fast algorithm for particle simulations. Journal of Computational Physics, Vol.73, pp.325--348, 1987.

13
Greengard L. and Wandzura S.: Guest Editor's Introduction: Fast Multipole Methods, Computational Science and Enginnering, Vol.5, pp.16-18, 1998.

14
Hockney R. W. and Eastwood J. W.: Computer Simulation Using Particles. IOP Publishing, Ltd., Bristol, 1988.

15
Hernquist L.: Vectorization of tree traversals. , Vol.87, pp.137--147, 1990.

16
Hu Y., Jonsson S. L., and Teng S.-H.: A data-parallel adaptive n-body method. In Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing. SIAM, 1997.

17
Hut P. and Makino J.: Astrophysics on the grape family of special-purpose computers. Science, Vol.283, pp.501--505, 1999.

18
Holt C. and Singh J. P.: Hierarchical n-body methods on shared address space multiprocessors. In D. H. Bailey, et al. (ed) Proceedings of the Seventh SIAM Conference on Parallel Processing for Scientific Computing, pages 313--318. SIAM, Philadelphia, 1995.

19
Hardin R. H. and Sloane N. J. A.: Mclaren's improved snub cube and other new spherical designs in three dimensions,. Discrete and Computational Geometry, Vol.15, pp.429--441, 1996.

20
Kawai A. and Makino J.: A simple formulation of the fast multipole method: Pseudo-particle multipole method. In Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, CD--ROM, SIAM, Philadelphia, 1999.

21
Makino J.: Vectorization of a treecode. Journal of Computational Physics, Vol.87, pp.148--160, 1990.

22
Makino J.: Yet another fast multipole method without multipoles --- pseudo-particle multipole method. Journal of Computational Physics, Vol.151, pp.910--920, 1999.

23
McLaren A. D.: Optimal numerical integration on a sphere. Math. Comput., Vol.17, pp.361--383, 1963.

24
Makino J. and Taiji M.: Scientific Simulations with Special-Purpose Computers --- The GRAPE Systems. John Wiley and Sons, Chichester, 1998.

25
Pfalzner S. and Gibbon P.: Many-body tree method in physics. Cambridge University Press, Cambridge, 1996.

26
Sugimoto D., Chikada Y., Makino J., Ito T., Ebisuzaki T., and Umemura M.: A special-purpose computer for gravitational many-body problems, Nature, Vol.345, pp.33-45, 1990.

27
Warren M. S. and Salmon J. K.: Astrophysical N-body simulations using hierarchical tree data structures. In Supercomputing '92, pp.570--576. IEEE Comp. Soc., Los Alamitos, 1992.

28
Warren M. S. and Salmon J. K.: A parallel hashed oct-tree N-body algorithm. In Supercomputing '93, pp.12--21. IEEE Comp. Soc., Los Alamitos.


Jun Makino
Thu Jul 8 11:44:39 JST 1999