Spectral methods for numerical relativity: The initial data problem

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 8, 2000, Pages 1-13

  Kidder, Lawrence E ^a   Finn, Lee Samuel ^b  

^a Cornell University ^*  (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16644400521     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.084026     Document Type: Article

References (20)

1. J. P. Boyd, Chebyshev and Fourier Spectral Methods (Springer-Verlag, Berlin, 1989).
2. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1988).
3. B. Fornberg, A Practical Guide to Pseudospectral Methods (Cambridge University Press, Cambridge, England, 1996).
4. S. Bonazzola, E. Gourgoulhon, and J.-A. Marck, J. Comput. Appl. Math. 109, 433 (1999).
5. M. Choptuik and W. G. Unruh, Gen. Relativ. Gravit. 18, 813 (1986).
6. G. B. Cook, Ph.D. thesis, University of North Carolina, Chapel Hill, 1990.
7. D. Bernstein, D. Hobill, E. Seidel, and L. Smarr, Phys. Rev. D 50, 3760 (1994).
8. R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation, edited by L. Witten (Wiley, New York, 1962), pp. 227-265.
9. J. W. York, Jr., in Sources of Gravitational Radiation, edited by L. L. Smarr (Cambridge University Press, Cambridge, England, 1979), pp. 83-126.
10. N. Ó Murchadha and J. W. York, Jr., Phys. Rev. D 10, 428 (1974).
11. J. M. Bowen and J. W. York, Jr., Phys. Rev. D 21, 2047 (1980).
12. D. R. Brill, Ann. Phys. (N.Y.) 7, 466 (1959).
13. S. A. Orszag, J. Comput. Phys. 37, 70 (1980).
14. S. Bonazzola, E. Gourgoulhon, and J.-A. Marck, Phys. Rev. D 58, 104020 (1998).
15. J. Frauendiener, J. Comput. Appl. Math. 109, 475 (1999).
16. R. A. Bartnik and A. H. Norton, gr-qc/9904045 (unpublished).
17. S. Bonazzola, J. Frieben, E. Gourgoulhon, and J.-A. Marck, in ICOSAHOM'95, Proceedings of the Third International Conference on Spectral and High Order Methods, edited by A. V. Ilin and L. R. Scott (Houston Journal of Mathematics, Houston, 1996), pp. 3-19.
18. C. A. J. Fletcher, Computational Galerkin Methods (Springer-Verlag, New York, 1984).
19. L. E. Kidder, M. A. Scheel, S. A. Teukolsky, and G. B. Cook, gr-qc/0005056 (unpublished).
20. T. A. Zang, Y. S. Wong, and M. Y. Hussaini, J. Comput. Phys. 54, 489 (1984).