Fetching the paper…
Reading the bibliography…
We present a fully pseudo-spectral scheme to solve axisymmetric hyperbolic equations of second order.
The light cone at infinity,
R. Penrose, · 1964
Earlier work this paper cites.
Integration processes based on radau quadrature formulas,
J. C. Butcher, · 1964
Earlier work this paper cites.
Spin- s s spherical harmonics and ð \eth ,
J. N. Goldberg, A. J. MacFarlane, E. T. Newman, F. Rohrlich, E. C. G. Sudarshan, · 1967
Earlier work this paper cites.
Nonspherical perturbations of relativistic gravitational collapse. I. Scalar and gravitational perturtbations,
R. Price, · 1972
Earlier work this paper cites.
Perturbations of a rotating black hole. I. fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations,
S. A. Teukolsky, · 1973
Earlier work this paper cites.
Diagonally implicit runge–kutta methods for stiff o.d.e.’s,
R. Alexander, · 1977
Earlier work this paper cites.
Cauchy problems for the conformal vacuum field equations in general relativity,
H. Friedrich, · 1983
Earlier work this paper cites.
Spectral methods in time for a class of parabolic partial differential equations,
G. Ierley, B. Spencer, R. Worthing, · 1992
Earlier work this paper cites.
W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes, 2nd ed., Cambridge University Press, New York, 1992
1992
Earlier work this paper cites.
R. Barrett, M. Berry, T. Chan, J. Dongarra, V. Eijkhout, C. Romine, H. van der Vorst, Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, SIAM, http://www.netlib.org/templates/
1993
Earlier work this paper cites.
Y. Saad, Iterative Methods for Sparse Linear Systems, SIAM, 1996
1996
Earlier work this paper cites.
Quasi-normal modes of stars and black holes,
B. S. Kostas D. Kokkotas, · 1999
Earlier work this paper cites.
A. Meister, Numerik linearer Gleichungssysteme, Eine Einfuehrung in moderne Verfahren, Vieweg Verlag, Braunschweig, Wiesbaden, 1999
1999
Cited alongside, same era.
The Cauchy problem for the Einstein equations,
H. Friedrich, A. D. Rendall, · 2000
Cited alongside, same era.
J. P. Boyd, Chebyshev and Fourier Spectral Methods (Second Edition, Revised), Dover Publications, New York, 2001
2001
Cited alongside, same era.
J. Frauendiener, H. Friedrich, The Conformal Structure of Space-Times: Geometry, Analysis, Numerics, Lecture Notes in Physics, Springer, 2002. URL: http://books.google.de/books?id=iM1k6EwcmcIC
2002
Cited alongside, same era.
Conformal infinity,
J. Frauendiener, · 2004
Cited alongside, same era.
Regularity of the Einstein Equations at Future Null Infinity,
V. Moncrief, O. Rinne, · 2009
Later among the works it cites.
Kadath: A Spectral solver for theoretical physics,
P. Grandclement, · 2010
Later among the works it cites.
An axisymmetric evolution code for the Einstein equations on hyperboloidal slices,
O. Rinne, · 2010
Later among the works it cites.
Fast and Exact Spin-s Spherical Harmonic Transforms,
K. Huffenberger, B. Wandelt, · 2010
Later among the works it cites.
The Interior of axisymmetric and stationary black holes: Numerical and analytical studies,
M. Ansorg, J. Hennig, · 2011
Later among the works it cites.
Numerical investigation of the late-time Kerr tails,
I. Racz, G. Z. Toth, · 2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2006
Cited alongside, same era.
Diagonally implicit runge-kutta methods for stiff problems,
L. Skvortsov, · 2006
Cited alongside, same era.
J. S. Hesthaven, S. Gottlieb, D. Gottlieb, Spectral methods for time-dependent problems, Cambridge monographs on applied and computational mathematics, Cambridge university press, Cambridge, 2007. URL: http://opac.inria.fr/record=b1120434
2007
Cited alongside, same era.
Hyperboloidal evolution with the Einstein equations,
A. Zenginoglu, · 2008
Cited alongside, same era.
R. Meinel, M. Ansorg, A. Kleinwächter, G. Neugebauer, D. Petroff, Relativistic figures of equilibrium, Cambridge University Press, 2008
2008
Cited alongside, same era.
J. Butcher, Numerical Methods for Ordinary Differential Equations, Wiley, 2008. URL: http://books.google.it/books?id=opd2NkBmMxsC
2008
Cited alongside, same era.
A Fully Pseudospectral Scheme for Solving Singular Hyperbolic Equations on Conformally Compactified Space-Times,
J. Hennig, M. Ansorg, · 2009
Cited alongside, same era.
Fully pseudospectral time evolution and its application to 1+1 dimensional physical problems,
J. Hennig, · 2013
Later among the works it cites.
Hyperboloidal Einstein-matter evolution and tails for scalar and Yang-Mills fields,
O. Rinne, V. Moncrief, · 2013
Later among the works it cites.
Numerical solution of the 2+1 Teukolsky equation on a hyperboloidal and horizon penetrating foliation of Kerr and application to late-time decays,
E. Harms, S. Bernuzzi, B. Bruegmann, · 2013
Later among the works it cites.
L. Rezzolla, O. Zanotti, Relativistic Hydrodynamics, Oxford University Press, Oxford UK, 2013
2013
Later among the works it cites.
Inital data for perturbed Kerr black holes on hyperboloidal slices,
D. Schinkel, M. Ansorg, R. Panosso Macedo, · 2013
Later among the works it cites.
A spectral method in space and time to solve the advection-diffusion and wave equations in a bounded domain,
J. Pétri, · 2014
Closest in time.