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We introduce a single patch collocation method in order to compute solutions of initial value problems of partial differential equations whose spatial domains are 3-spheres.
Asymptotic properties of fields and space-time
R. Penrose · 1963
Earlier work this paper cites.
An algorithm for the machine calculation of complex Fourier series
J.W. Cooley and J.W. Tukey · 1965
Earlier work this paper cites.
The large scale structure of space-time
S.W. Hawking and G.F.R. Ellis · 1973
Earlier work this paper cites.
Vacuum space-times with two parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions
R.H. Gowdy · 1974
Earlier work this paper cites.
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R. Penrose · 1979
Earlier work this paper cites.
Partial Differential equations
F. John · 1982
Earlier work this paper cites.
Semi-Riemannian Geometry with Applications to Relativity
B. O’Neill · 1983
Earlier work this paper cites.
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A. Majda · 1984
Earlier work this paper cites.
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H. Friedrich · 1986
Earlier work this paper cites.
Spectral Methods in Fluid Dynamics
C. Canuto, M.Y. Hussaini, A. Quarteroni, and T.A. Zang · 1988
Earlier work this paper cites.
Strong cosmic censorship in polarized Gowdy space-times
P. Chruściel, J. Isenberg, and V. Moncrief · 1990
Earlier work this paper cites.
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J. Isenberg and V. Moncrief · 1990
Earlier work this paper cites.
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M. Sugiura · 1990
Earlier work this paper cites.
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Cited alongside, same era.
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Cited alongside, same era.
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Cited alongside, same era.
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Cited alongside, same era.
Numerical simulations of Gowdy spacetimes on S 2 × S 1 × R S^{2}\times S^{1}\times R
D. Garfinkle · 1999
Cited alongside, same era.
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W.H. Press, S.A. Teukolsky, W.T. Vetterlin, and B.P. Flannery · 1999
Cited alongside, same era.
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Later among the works it cites.
Multi-block simulations in general relativity: high order discretizations, numerical stability, and applications
L. Lehner, O. Reula, and M. Tiglio · 2005
Later among the works it cites.
Axisymmetric numerical relativity
O. Rinne · 2005
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M. A. Scheel, H. P. Pfeiffer, L. Lindblom, L. E. Kidder, O. Rinne, and S. A. Teukolsky · 2006
Later among the works it cites.
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P. Topping · 2006
Later among the works it cites.
Asymptotics and singularities in cosmological models with positive cosmological constant
F. Beyer · 2007
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