Numerical integration of the axisymmetric Robinson-Trautman equation by a spectral method

Journal of the Australian Mathematical Society Series B-Applied Mathematics

Volumn 41, Issue 2, 1999, Pages 271-280

  Prager, D A ^a   Lun, A W C ^a  

^a MONASH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748554538     PISSN: 03342700     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0334270000011218     Document Type: Article

References (6)

1. G. L. Browning, J. J. Hack and P. N. Swarztrauber, "A comparison of three numerical methods for solving differential equations on the sphere", Mon. Wea. Rev. 117 (1989) 1058-1075.
2. P. T. Chruściel, "Semi-global existence and convergence of solutions of the Robinson-Trautman (2-dimensional Calabi) equation", Commun. Math. Phys. 137 (1991) 289-313.
3. B. Lukács, Z. Perjes, J. Porter and A. Sebastyen, "Lyapunov functional approach to radiative metrics", Gen. Relativ. Gravit. 16 (1984) 691-701.
4. D. A. Prager, "Discretization of the two-sphere", Honours Thesis, Monash University, Melbourne, 1992.
5. I. Robinson and A. Trautman, "Some spherical gravitational waves in general relativity", Proc. Royal Soc. Lond. A262 (1962) 463-473.
6. D. Singleton, "Robinson-Trautman solution of Einstein's equations", Ph. D, Thesis, Monash University, Melbourne, 1990.