Numerical relativity as a tool for computational astrophysics

Journal of Computational and Applied Mathematics

Volumn 109, Issue 1-2, 1999, Pages 493-525

  Seidel, Edward ^a,b   Suen, Wai Mo ^c,d  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c WASHINGTON UNIVERSITY   (United States)

^d CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; CODES (SYMBOLS); COMPUTATIONAL METHODS; COMPUTER SIMULATION; GRAVITATION; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RELATIVITY; SUPERCOMPUTERS;

GENERAL RELATIVISTIC ASTROPHYSICS; NUMERICAL RELATIVITY;

PARALLEL PROCESSING SYSTEMS;

EID: 0032594786     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00169-7     Document Type: Article

References (124)

1. Abrahams A., Anderson A., Choquet-Bruhat Y., York J. Phys. Rev. Lett. 75:1995;3377.
2. A. Abrahams, A. Anderson, Y. Choquet-Bruhat, J. York, Class. Quant. Grav A9 (1997).
3. A.M. Abrahams et al., Phys. Rev. Lett. 80 (1998) 1812, gr-qc/9709082.
4. Alcubierre M. Phys. Rev. D. 55:1997;5981.
5. Alcubierre M., Massó J. Phys. Rev. D Rapid Comm. 57:1988;4511.
6. Alcubierre M., Schutz B. J. Comp. Phys. 112:1994;44.
7. M. Alcubierre et al., 1999, in preparation.
8. G. Allen, K. Camarda, E. Seidel, 1999, gr-qc/9806014. Phys. Rev. D, submitted.
9. G. Allen, K. Camarda, E. Seidel, 1999, gr-qc/9806036. Phys. Rev. D, submitted.
10. Anninos P.et al. Phys. Rev. D. 51:1995;5562.
11. Anninos P.et al. Phys. Rev. D. 52:1995;2059.
12. Anninos P.et al. Phys. Rev. Lett. 74:1995;630.
13. Anninos P.et al. Phys. Rev. D. 56:1997;842.
14. Anninos P.et al. Phys. Rev. D. 58:1998;024003.
15. R. Arnowitt, S. Deser, C.W. Misner, in: L. Witten (Ed.), Gravitation: An Introduction to Current Research, Wiley, New York, 1962, pp. 227-265.
16. Ashby S.F., Manteuffel T.A., Saylor P.E. SIAM J. Numer. Anal. 27:1990;1542.
17. S. Ashby et al., Elsevier Science, Amsterdam, 1999, submitted.
18. Balakrishna J.et al. Class. Quant. Grav. 13:1996;L135.
19. Banyuls F.et al. Astrophys. J. 476:1997;221.
20. Baumgarte T.W.et al. Phys. Rev. D. 54:1996;4849.
21. Berger M., Oliger J. J. Comput. Phys. 53:1984;484.
22. D. Bernstein, D. Hobill, L. Smarr, in: C. Evans, L. Finn, D. Hobill (Eds.), Frontiers in Numerical Relativity, Cambridge University Press, Cambridge, England, 1989, pp. 57-73.
23. D. Bernstein, M. Holst, private communication.
24. Bernstein D.et al. Phys. Rev. D. 50:1994;5000.
25. N. Bishop et al., in: B. Iyer, B. Bhawal (Eds.), On the Black Hole Trail, Kluwer, Dordrecht, 1998, gr-qc/9801070.
26. C. Bona, in: F. Hehl (Ed.), Relativity and Scientific Computing, Springer, Berlin, 1996.
27. Bona C., Massó J. Phys. Rev. D. 38:1988;2419.
28. Bona C., Massó J. Phys. Rev. Lett. 68:1992;1097.
29. Bona C., Massó J., Seidel E., Stela J. Phys. Rev. Lett. 75:1995;600.
30. Bona C., Massó J., Seidel E., Stela J. Phys. Rev. D. 56:1997;3405.
31. C. Bona, J. Massó, E. Seidel, P. Walker, 1998, gr-qc/9804065. Phys. Rev. D, Submitted.
32. Bona C., Massó J., Stela J. Phys. Rev. D. 51:1995;1639.
33. S. Bonazzola, E. Gourgoulhon, J.-A. Marck (1998) astro-ph/9803086.
34. P.R. Brady, J.D.E. Creighton, K.S. Thorne, 1998, gr-qc/9804057.
35. Brandt S., Brügmann B. Phys. Rev. Lett. 78:1997;3606.
36. Brandt S., Seidel E. Phys. Rev. D. 52:1995;856.
37. Brandt S., Seidel E. Phys. Rev. D. 52:1995;870.
38. Brandt S., Seidel E. Phys. Rev. D. 54:1996;1403.
39. Brill D., Lindquist R. Phys. Rev. 131:1963;471.
40. O. Brodbeck, S. Fritelli, P. Hübner, O.A. Reula, 1998, gr-qc/9809023.
41. Brügmann B. Phys. Rev. D. 54:1996;7361.
42. K. Camarda, Ph.D. Thesis, University of Illinois at Urbana-Champaign, Urbana, Illinois, 1998.
43. K. Camarda, E. Seidel, Phys. Rev. D 57 (1998) R3204, gr-qc/9709075.
44. K. Camarda, E. Seidel, gr-qc/9805099. Phys. Rev. D (1999) to appear.
45. M. Choptuik, in: C. Evans, L. Finn, D. Hobill (Eds.), Frontiers in Numerical Relativity, Cambridge University Press, Cambridge, England, 1989.
46. Choptuik M. Phys. Rev. D. 44:1991;3124.
47. Choptuik M. Phys. Rev. Lett. 70:1993;9.
48. Choquet-Bruhat Y., Ruggeri T. Comm. Math. Phys. 89:1983;269.
49. Choquet-Bruhat Y., York J., R. Acad C. Sci. Paris. 321:1995;1089.
50. T. Clune, J. Massó, M. Miller, P. Walker, Technical Report, National Center for Supercomputing Applications, (unpublished).
51. G.B. Cook, in: C. Evans, L. Finn, D. Hobill (Eds.), Frontiers in Numerical Relativity, Cambridge University Press, Cambridge, England, 1989, and references therein.
52. G. Cook, Ph.D. Thesis, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, 1990.
53. Cook G.B. Phys. Rev. D. 44:1991;2983.
54. G. Cook, M. Scheel, private communication.
55. Cook G.B.et al. Phys. Rev. D. 47:1993;1471.
56. Cook G.B.et al. Phys. Rev. Lett. 80:1998;2512.
57. G.E. Daues, Ph.D. Thesis, Washington University, St. Louis, Missouri, 1996.
58. Detweiler S. Phys. Rev. D. 35:1987;1095.
59. Donat R., Font J.A., Ibánez J.M., Marquina A. J. Comput. Phys. 146:1998;58.
60. Donat R., Marquina A. J. Comput. Phys. 125:1996;42.
61. Eppley K. Phys. Rev. D. 16:1977;1609.
62. K. Eppley, in: L. Smarr (Ed.), Sources of Gravitational Radiation, Cambridge University Press, Cambridge, England, 1979, p. 275.
63. Eulderink F., Mellema G. Astron. Astrophys. 284:1994;652.
64. É.É. Flanagan, S.A. Hughes, Phys. Rev. D 57 (1998) 4566, gr-qc/9710129.
65. É.É. Flanagan, S.A. Hughes, Phys. Rev. D 57 (1998) 4535, gr-qc/9701039.
66. Font J., Ibánez J., Martí J., Marquina A. Astron. Astrophys. 282:1994;304.
67. J.A. Font, M. Miller, W.M. Suen, M. Tobias, Phys. Rev. D (1999), submitted.
68. I. Foster, Designing and Building Parallel Programs, Addison-Wesley, Reading, MA 1995, the book is also available on-line at http://www.mcs.anl.gov/dbpp/ .
69. Friedrich H. Proc. Roy. Soc. London A. 375:1981;169.
70. Friedrich H. Proc. Roy. Soc. London A. 378:1981;401.
71. Friedrich H. Comm. Math. Phys. 100:1985;1525.
72. Friedrich H. Class. Quant. Grav. 13:1996;1451.
73. Fritelli S., Reula O. Commun. Math. Phys. 166:1994;221.
74. Fritelli S., Reula O. Phys. Rev. Lett. 76:1996;4667.
75. R. Gomez et al., Phys. Rev. Lett. 80 (1988) 3915, gr-qc/9801069.
76. C. Gundlach, Phys. Rev. D 57 (1998) 863, gr-qc/9707050.
77. S.W. Hawking, G.F.R. Ellis, The Large Scale Structure of Spacetime, Cambridge University Press, Cambridge, England, 1973.
78. D. Hillis, B. Boghosian, Science (1993) 856.
79. Hübner P. Phys. Rev. D. 53:1996;701.
80. Hughes S.et al. Phys. Rev. D. 49:1994;4004.
81. M. Huq, private communication.
82. M. Huq, private communication (unpublished).
83. P. Laguna, private communication.
84. S. Lee, Ph.D. Thesis, University of Illinois Urbana-Champaign, 1993.
85. R.J. Leveque, Numerical Methods for Conservation Laws, Birkhauser, Basel, 1992.
86. J. Libson, in: P. Laguna (Ed.), Numerical Relativity Conf., 1993.
87. J. Libson, J. Massó, E. Seidel, W.-M. Suen, in: R.T. Jantzen, G.M. Keiser, R. Ruffini (Eds.), The Seventh Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, World Scientific, Singapore, 1996, p. 631.
88. Libson J.et al. Phys. Rev. D. 53:1996;4335.
89. Marsa R., Choptuik M. Phys. Rev. D. 54:1996;4929.
90. Martí J.M., Ibánez J.M., Miralles J.A. Phys. Rev. D. 43:1991;3794.
91. J. Massó, Ph.D. Thesis, University of the Balearic Islands, 1992.
92. J. Massó, E. Seidel, W.-M. Suen, P. Walker, gr-qc/9804059. Phys. Rev. D (1999), submitted.
93. Matzner R.et al. Science. 270:1995;941.
94. M. Miller, private communication.
95. Moncrief V. Ann. Phys. 88:1974;323.
96. T. Nakamura, K. ichi Oohara, 1999, gr-qc/9812054.
97. Nakamura T., Kojima Y., Oohara K. Phys. Lett. 106A:1984;235.
98. T. Nakamura, K. Oohara, in: C. Evans, L. Finn, D. Hobill (Eds.), Frontiers in Numerical Relativity, Cambridge University Press, Cambridge, England, 1989, pp. 254-280.
99. K.C.B. New, K. Watt, C.W. Misner, J.M. Centrella, 1998, gr-qc/9801110 Phys. Rev. D, submitted.
100. P. Papadopoulos, E. Seidel, L. Wild, Physical Review D 58 (1988) 084002, gr-qc/9802069.
101. T. Piran, in: N. Deruelle, T. Piran (Eds.), Gravitational Radiation, North-Holland, Amsterdam, 1983.
102. W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes, Cambridge University Press, Cambridge, England, 1986.
103. O. Reula, Living Rev. Relativity 1 (1998).
104. Roe P.L. J. Comput. Phys. 43:1981;357.
105. Scheel M.A., Shapiro S.L., Teukolsky S.A. Phys. Rev. D. 51:1995;4208.
106. Scheel M.et al. Phys. Rev. D. 56:1997;6320.
107. E. Seidel, in: F. Hehl (Ed.), Relativity and Scientific Computing, Springer, Berlin, Germany, 1996.
108. Seidel E., Suen W.-M. Phys. Rev. Lett. 69:1992;1845.
109. E. Seidel, W.-M. Suen, in: J.-P. Lasota, J.-A. Marck (Eds.), Relativistic Gravitation and Gravitational Radiation, Cambridge University Press, Cambridge, England, 1997, pp. 335-360.
110. S.L. Shapiro, S.A. Teukolsky, in: J.M. Centrella (Ed.), Dynamical Spacetimes and Numerical Relativity, Cambridge University Press, Cambridge, England, 1986, pp. 74-100.
111. S. Shapiro, S. Teukolsky, J. Winicour, Phys. Rev. D 52 (1995).
112. Shu C.W., Osher S.J. J. Comput. Phys. 83:1989;32.
113. Smarr L., York J. Phys. Rev. D. 17:1978;1945.
114. Smarr L., York J. Phys. Rev. D. 17:1978;2529.
115. J. Thornburg, Classical Quan. Gravity 14 (1987) 1119, unruh is cited here by Thornburg as originating AHBC.
116. Thornburg J. Phys. Rev. D. 54:1996;4899.
117. J. Thornburg, 1998, gr-qc/9801087.
118. M. Tobias, Ph.D. Thesis, Washington University, Saint Louis, MO, 1997.
119. H. van Putten M., Eardley D. Phys. Rev. D. 53:1996;3056.
120. E. Wang, F.D. Swesty, in: J.F.A. Olinto, D. Schramm (Eds.), Proc. 18th Texas Symp. on Relativistic Astrophysics, World Scientific, Singapore, 1998.
121. H.C. Yee, Computational Fluid Dynamics, von Karman Institute for Fluid Dynamics, NASA Ames Research Center, CA, 1989.
122. J. York, in: L. Smarr (Ed.), Sources of Gravitational Radiation, Cambridge University Press, Cambridge, England, 1979.
123. J. York, in: C. Evans, L. Finn, D. Hobill (Eds.), Frontiers in Numerical Relativity, Cambridge University Press, Cambridge, England, 1989, pp. 89-109.
124. C.W. Lai, MSc. Thesis, 1998, preprint, Physics Department, Chinese University of Hong Kong.