Discretizations of axisymmetric systems

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 10, 2002, Pages

  Frauendiener, Jörg ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; METHODOLOGY; MOLECULAR STABILITY; PHYSICS; SYSTEM ANALYSIS; THEORY;

EID: 0037113834     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.104027     Document Type: Article

References (12)

1. K. Jänich, Differenzierbare G-Mannigfaltigkeiten, Vol. 59 of Lecture Notes in Mathematics (Springer-Verlag, Heidelberg, 1968).
2. J. Frauendiener, Ph.D. thesis, Universität Tübingen, 1987.
3. We ignore here the so-called “exceptional orbits” because we are only interested in the neighborhood of the axis.
4. M. Alcubierre, S. Brandt, B. Brügmann, D. Holz, E. Seidel, R. Takahashi, and J. Thornburg, Int. J. Mod. Phys. D 10, 273 (2001).
5. J. Frauendiener and M. Hein, Phys. Rev D (to be published), gr-qc/0207094.
6. J. Thornburgh (private communication).
7. S.A. Teukolsky, Phys. Rev. D 61, 087501 (2000).
8. E. Hairer, S. P. Nørsett, and G. Wanner, Solving Ordinary Differential Equations, 2nd ed. (Springer-Verlag, Berlin, 2000), Vol. I.
9. E. Hairer and G. Wanner, Solving Ordinary Differential Equations, 2nd ed. (Springer-Verlag, Berlin, 1996), Vol. II.
10. L. N. Trefethen, Spectral Methods in Matlab (SIAM, Philadelphia, 2000).
11. B. Fornberg, A Practical Guide to Pseudospectral Methods (Cambridge University Press, Cambridge, England, 1996).
12. B. Gustafsson, H.-O. Kreiss, and J. Oliger, Time Dependent Problems and Difference Methods (Wiley, New York, 1995).