A new class of particle methods

Numerische Mathematik

Volumn 76, Issue 1, 1997, Pages 87-109

  Yserentant, Harry ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013328412     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050255     Document Type: Article

References (14)

1. Gingold, R.A., Monaghan, J.J. (1977): Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon. Not. R. Astr. Soc. 181, 375-389
2. Gurtin, M.E. (1981): An introduction to continuum mechanics. Academic Press, San Diego
3. Gustafson, K., Sethian, J., eds. (1991): Vortex methods and vortex motion. SIAM, Philadelphia
4. Harlow, F.H. (1964): The particle-in-cell computing method for fluid dynamics. In: B. Adler, S. Fernbach, M. Rotenberg, eds., Methods in Comput. Phys., vol. 3, pp. 319-343. Academic Press, New York
5. Hockney, R.W., Eastwood, J.W. (1988): Computer simulations using particles. Adam Hilger, Bristol New York
6. Landau, L.D., Lifschitz, E.M. (1990): Lehrbuch der Theoretischen Physik, Band I, Mechanik. Akademie Verlag, Berlin
7. Landau, L.D., Lifschitz, E.M. (1991): Lehrbuch der Theoretischen Physik, Band VI, Hydrodynamik. Akademie Verlag, Berlin
8. Landau, L.D., Litschitz, E.M. (1989): Lehrbuch der Theoretischen Physik, Band VII, Elastizitäts-theorie. Akademie Verlag, Berlin
9. Lucy, L.B. (1977): A numerical approach to the testing of the fission hypothesis. Astron. J. 82, 1013-1024
10. Monaghan, J.J. (1992): Smoothed particle hydrodynamics. Ann. Rev. Astron. Astrophys. 30, 543-574
11. von Neumann, J. (1963): Proposal and analysis of a new numerical method in the treatment of hydrodynamical shock problems. In: Collected works, Vol. 6, pp. 361-379. Pergamon Press, Oxford
12. Pasta, J.R., Ulam, S. (1959): Heuristic numerical work in some problems of hydrodynamics. Math. Tables and Other Aids to Computation 13, 1-12
13. Raviart, P.A. (1985): An analysis of particle methods. In: F. Brezzi, ed., Numerical methods in fluid dynamics, Lecture Notes in Mathematics 1127, pp. 243-324. Springer, Berlin Heidelberg New York
14. Yserentant, H. (1994): Stability and convergence of a particle method. Report Nr. 2/94, SFB 382, Universität Tübingen