Iterated Crank-Nicolson method for hyperbolic and parabolic equations in numerical relativity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 73, Issue 4, 2006, Pages

  Leiler, Gregor ^a,b   Rezzolla, Luciano ^b,c,d  

^a UNIVERSITY OF UDINE   (Italy)

^b ALBERT EINSTEIN INSTITUT   (Germany)

^c SISSA   (Italy)

^d LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33244479688     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.73.044001     Document Type: Article

References (11)

1. S.A. Teukolsky, Phys. Rev. D 61, 087501 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.61.087501
2. M.D. Duez, P. Marronetti, S.L. Shapiro, and T.W. Baumgarte, Phys. Rev. D 67, 024004 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.024004
3. M.D. Duez, Y.T. Liu, S.L. Shapiro, and B.C. Stephens, Phys. Rev. D 69, 104030 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.104030
4. G. Calabrese, I. Hinder, and S. Husa, gr-qc/0503056.
5. J. Crank and P. Nicolson, Proc. Cambridge Philos. Soc. PCPSA4 0008-1981 43, 50 (1947).
6. R.D. Richtmyer and K.W. Morton, Difference Methods for Initial-Value Problems (Wiley, New York, 1967), 2nd ed.
7. A.M. Stuart and A.T. Peplow, SIAM J. Sci. Stat. Comput. 12, 1351 (1991). SIJCD4 0196-5204 10.1137/0912074
8. G.J. Barclay, D.F. Griffiths, and D.J. Higham, LMS J. Comput. Math. 3, 27 (2000).
9. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, England, 1997).
10. E.C. Du-Fort and S.P. Frankel, Mathematical Tables and Other Aids to Computation 7, 135 (1953).
11. G.D. Smith, Numerical Solution of Partial Differential Equations: Finite Difference Methods (Oxford University Press, New York, 1986), 3rd ed.