Solutions of the axi-symmetric Poisson equation from elliptic integrals I. Numerical splitting methods

Astronomy and Astrophysics

Volumn 434, Issue 1, 2005, Pages 1-15

  Hure J M ^a,b  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Hydrodynamics; Methods: numerical

Indexed keywords

BOUNDARY CONDITIONS; ELECTROSTATICS; FINITE DIFFERENCE METHOD; GALAXIES; GRAVITATION; HYDRODYNAMICS; INTEGRATION; MATHEMATICAL MODELS; POISSON EQUATION;

METHODS: NUMERICAL; NEUMANN BOUNDARY CONDITIONS; SELF-GRAVITATING FIELDS; SINGULAR FUNCTIONS;

ASTROPHYSICS;

EID: 17444381128     PISSN: 00046361     EISSN: None     Source Type: Journal    
DOI: 10.1051/0004-6361:20034194     Document Type: Article

References (24)

1. Abramowitz, M., & Stegun, I. A. 1964, in Handbook of mathematical functions with examples, graphs and mathematical tables, NBS, Sect. 17
2. Adams, F. C., Ruden, S. P., & Shu, F. H. 1989, ApJ, 347, 959
3. Adams, J., Swarztrauber, P., & Sweet, R. 1980, fish-pack/NETLIB/NCAR
4. Ansorg, M., Kleinwächter, A., & Meinel, R. 2003a, MNRAS, 339, 515
5. Ansorg, M., Kleinwächter, A., & Meinel, R. 2003b, ApJ, 582, L87
6. Bodo, G., & Curir, A. 1992, A&A, 253, 318
7. Bonazzola, S., & Schneider, J. 1974, ApJ, 191, 273
8. Bonazzola, S., Gourgoulhon, E, & Marck, J.-A. 1998, Phys. Rev. D, 58, 104020
9. Borges, L., & Daripa, P. 2001, JCP, 169, 151
10. Binney, J., & Tremaine, S. 1987, in Galactic dynamics (Princeton, NJ: Princeton University Press)
11. Chen, H., Su, Y., & Shizgal, B. D. 2000, JCP, 160, 453
12. Christopher, I., Knorr, G., Shoucri, M., & Bertrand, P. 1997, JCP, 131, 323
13. Clément, M. J. 1974, ApJ, 194, 709
14. Cohl, H. S., & Tohline, J. E. 1999, ApJ, 527, 86
15. Cohl, H. S. 1999, Ph.D. Thesis
16. Durand, E. 1964, in Electrostatique. I. Les distributions (Masson)
17. Gill, P. E., & Miller, G. F. 1972, Comput. J., 80
18. Greengard, L., & Lee, J. Y. 1996, JCP, 125, 415
19. Hachisu, I. 1986, ApJS, 62, 46
20. Lai, M., Lin W., & Wang W. 2002, JNA, 22, 537
21. Müller, E., & Steinmetz, M. 1995, Comp. Phys. Commun., 89, 45
22. Pierens, A., & Hure, J.-M. 2005, A&A, 434, 17 (Paper II)
23. Störzer, H. 1993, ApJ, 271, 25
24. Swarztrauber, P., & Sweet, R. 1996, in Handbook of fluid dynamics and Fluid Machinery, ed. J. A. Schetz, & A. E. Fuhs (New-York: J. Wiley & Sons)