Fetching the paper…
Reading the bibliography…
Equations arising in General Relativity are usually too complicated to be solved analytically and one has to rely on numerical methods to solve sets of coupled partial differential equations.
Faber, G., “Über die interpolarishe Darstellung stetiger Funktionem”, Jber. Deutsch. Math. Verein
1914
Earlier work this paper cites.
Oppenheimer, J.R., and Snyder, H., “On Continued Gravitational Contraction”, Phys. Rev
1939
Earlier work this paper cites.
Sommerfeld, A., Partial Differential Equations in Physics
1949
Earlier work this paper cites.
Courant, R., and Hilbert, D., Methods of Mathematical Physics
1953
Earlier work this paper cites.
Erdös, P., “Problems and Results on the Theory of Interpolation”, Acta Math. Acad. Sci. Hungar
1961
Earlier work this paper cites.
Korn, G.A., and Korn, T.M., “Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review”, chapter 6, pp. 179–186, (McGraw-Hill, New York, U.S.A., 1961)
1961
Earlier work this paper cites.
Arnowitt, R., Deser, S., and Misner, C.W., “The Dynamics of General Relativity”, in Witten, L., ed., Gravitation: An introduction to current research
1962
Earlier work this paper cites.
Mathews, J., “Gravitational multipole radiation”, J. Soc. Ind. Appl. Math
1962
Earlier work this paper cites.
Brill, D.R., and Lindquist, R.W., “Interacion energy in geometrostatics”, Phys. Rev
1963
Earlier work this paper cites.
Dahlquist, G., “A special stability problem for linear multistep methods”, BIT
1963
Earlier work this paper cites.
Lindquist, R.W., “Initial-value problem on Einstein-Rosen manifolds”, J. Math. Phys
1963
Earlier work this paper cites.
Misner, C.W., “The method of images in geometrostatics.”, Ann. Phys
1963
Earlier work this paper cites.
Isaacson, E., and Keller, H.B., Analysis of Numerical Method
1966
Earlier work this paper cites.
May, M.M., and White, R.H., “Hydrodynamic Calculations of General-Relativistic Collapse”, Phys. Rev
1966
Earlier work this paper cites.
Meinardus, G., Approximation of Functions: Theory and Numerical Methods
1967
Earlier work this paper cites.
1970
Earlier work this paper cites.
Gottlieb, D., and Orszag, S.A., Numerical Analysis of Spectral Methods: Theory and Applications
1977
Earlier work this paper cites.
York, J.W., “Kinematics and Dynamics of General Relativity”, in Smarr, L.L., ed., Sources of Gravitational Radiation
1979
Earlier work this paper cites.
Thorne, K.S., “Multipole expansions of gravitational radiation”, Rev.Mod. Phys
1980
Earlier work this paper cites.
Hockney, R.W., and Eastwood, J.W., Computer Simulations using Particles
1981
Earlier work this paper cites.
Nakamura, T., and Sato, H., “General Relativistic Collapse of Rotating Supermassive Stars”, Prog. Theor. Phys
1981
Earlier work this paper cites.
Nakamura, T., and Sato, H., “General Relativistic Collapse of Non-Rotating, Axisymmetric Stars”, Prog. Theor. Phys
1982
Earlier work this paper cites.
Bardeen, J.M., and Piran, T., “General relativistic rotating axisymmetric systems: coordinates and equations”, Phys. Rep
1983
Earlier work this paper cites.
Nakamura, T., Kojima, Y., and Oohara, K.-C., “A method of determining apparent horizons in three-dimensional numerical relativity”, Phys. Lett. A
1984
Earlier work this paper cites.
Patera, A. T., “A Spectral Element Method for Fluid Dynamics: Laminar Flow in a Channel Expansion”, J. Comput. Phys
1984
Earlier work this paper cites.
Bonazzola, S., “Cyclotron lines in compact X-ray sources”, in Perola, G.C., and M., Salvati, eds., Non-thermal and very high temperature phenomena in X-ray astronomy
1985
Earlier work this paper cites.
Friedrich, H., “On the hyperbolicity of Einstein’s and other gauge field equations.”, Commun. Math. Phys
1985
Earlier work this paper cites.
Stark, R.F., and Piran, T., “Gravitational-wave emission from rotating gravitational collapse”, Phys. Rev. Lett
1985
Earlier work this paper cites.
Bonazzola, S., and Marck, J.-A., “Pseudo-spectral technique applied to numerical solutions for stellar collapse”, Astron. Astrophys
1986
Earlier work this paper cites.
Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A., Spectral Methods in Fluid Dynamics
1988
Earlier work this paper cites.
Funaro, D., and Gottlieb, D., “A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations”, Math. Comput
1988
Earlier work this paper cites.
Bonazzola, S., and Marck, J.-A., “Three-dimensional gas dynamics in a sphere”, J. Comput. Phys
1990
Earlier work this paper cites.
Bonazzola, S., and Marck, J.-A., “A 1D exact treatment of shock waves within spectral methods in plane geometry”, J. Comput. Phys
1991
Earlier work this paper cites.
Gourgoulhon, E., “Simple equations for general relativistic hydrodynamics in spherical symmetry applied to neutron star collapse”, Astron. Astrophys
1991
Earlier work this paper cites.
Temperton, C., “On scalar and vector transform methods for global spectral models”, Mon. Wea. Rev
1991
Earlier work this paper cites.
Gourgoulhon, E., “1D numerical relativity applied to neutron star collapse”, Class. Quantum Grav
1992
Earlier work this paper cites.
Ierley, G., Spencer, B., and Worthing, R., “Spectral Methods in Time for a Class of Parabolic Partial Differential Equations”, J. Comput. Phys
1992
Earlier work this paper cites.
Bonazzola, S., Gourgoulhon, E., Salgado, M., and Marck, J.-A., “Axisymmetric rotating relativistic bodies: A new numerical approach for ‘exact’ solutions”, Astron. Astrophys
1993
Earlier work this paper cites.
Bonazzola, S., and Marck, J.-A., “Efficiency of gravitational radiation from axisymmetric and 3 D stellar collapse. I - Polytropic case”, Astron. Astrophys
1993
Earlier work this paper cites.
Gourgoulhon, E., and Haensel, P., “Upper bounds on the neutrino burst from collapse of a neutron star into a black hole”, Astron. Astrophys
1993
Earlier work this paper cites.
Cook, G.B., “Three-dimensional initial data for the collision of two black holes. II. Quasicircular orbits for equal-mass black holes”, Phys. Rev. D
1994
Earlier work this paper cites.
Salgado, M., Bonazzola, S., Gourgoulhon, E., and Haensel, P., “High precision rotating netron star models 1: Analysis of neutron star properties”, Astron. Astrophys
1994
Earlier work this paper cites.
Salgado, M., Bonazzola, S., Gourgoulhon, E., and Haensel, P., “High precision rotating neutron star models. II. Large sample of neutron star properties.”, Astron. Astrophys. Suppl
1994
Earlier work this paper cites.
Bocquet, M., Bonazzola, S., Gourgoulhon, E., and Novak, J., “Rotating neutron star models with a magnetic field.”, Astron. Astophys
1995
Earlier work this paper cites.
Fornberg, B., Practical Guide to Pseudospectral Methods
1995
Earlier work this paper cites.
Gourgoulhon, E., Haensel, P., and Gondek, D., “Maximum mass instability of neutron stars and weak interaction processes in dense matter”, Astron. Astrophys
1995
Earlier work this paper cites.
Shibata, M., and Nakamura, T., “Evolution of three-dimensional gravitational waves: Harmonic slicing case”, Phys. Rev. D
1995
Earlier work this paper cites.
Baumgarte, T.W., Cook, G.B., Scheel, M.A., Shapiro, S.L., and Teukolsky, S.A., “Implementing an apparent-horizon finder in three dimensions”, Phys. Rev. D
1996
Earlier work this paper cites.
Bonazzola, S., Frieben, J., and Gourgoulhon, E., “Spontaneous Symmetry Breaking of Rapidly Rotating Stars in General Relativity”, Astrophys. J
1996
Earlier work this paper cites.
Bonazzola, S., and Gourgoulhon, E., “Gravitational waves from pulsars: emission by the magnetic-field-induced distortion”, Astron. Astrophys
1996
Earlier work this paper cites.
Hesthaven, J.S., and Gottlieb, D., “A stable penalty method for the compressible Navier-Stokes equations: I. open boundary conditions”, SIAM J. Sci. Comput
1996
Earlier work this paper cites.
Wilson, J.R., Mathews, G.J., and Marronetti, P., “Relativistic numerical model for close neutron-star binaries”, Phys. Rev. D
1996
Earlier work this paper cites.
Bartnik, R., “Einstein equations in the null quasispherical gauge”, Class. Quantum Grav
1997
Earlier work this paper cites.
Goussard, J.O., Haensel, P., and Zdunik, J.L., “Rapid uniform rotation of protoneutron stars”, Astron. Astrophys
1997
Earlier work this paper cites.
Baumgarte, T.W., Cook, G.B., Scheel, M.A., Shapiro, S.L., and Teukolsky, S.A., “General relativistic models of binary neutron stars in quasiequilibrium.”, Phys. Rev. D
1998
Earlier work this paper cites.
Bonazzola, S., Frieben, J., and Gourgoulhon, E., “Spontaneous symmetry breaking of rapidly rotating stars in general relativity: influence of the 3D-shift vector”, Astron. Astrophys
1998
Earlier work this paper cites.
Bonazzola, S., Gourgoulhon, E., and Marck, J.-A., “Numerical approach for high precision 3D relativistic star models”, Phys. Rev. D
1998
Earlier work this paper cites.
Goussard, J.O., Haensel, P., and Zdunik, J.L., “Rapid differential rotation of protoneutron stars and constraints on radio pulsars”, Astron. Astrophys
1998
Earlier work this paper cites.
Novak, J., “Neutron star transition to a strong-scalar-field state in tensor-scalar gravity”, Phys. Rev. D
1998
Earlier work this paper cites.
Novak, J., “Spherical neutron star collapse toward a black hole in a tensor-scalar theory of gravity”, Phys. Rev. D
1998
Earlier work this paper cites.
Nozawa, T., Stergioulas, N., Gourgoulhon, E., and Eriguchi, Y., “Construction of highly accurate models of rotating neutron stars - comparison of three different numerical schemes”, Astron. Astrophys. Suppl
1998
Earlier work this paper cites.
Stewart, J. M., “The Cauchy problem and the initial boundary value problem in numerical relativity.”, Class. Quantum Grav
1998
Earlier work this paper cites.
Baumgarte, T.W., and Shapiro, S.L., “Numerical integration of Einstein’s field equations”, Phys. Rev. D
1999
Earlier work this paper cites.
Ben Belgacem, F., and Bernardi, C., “Spectral element discretization of the Maxwell equations”, Math. Comput
1999
Earlier work this paper cites.
Bonazzola, S., Gourgoulhon, E., and Marck, J.-A., “Numerical Models of Irrotational Binary Neutron Stars in General Relativity”, Phys. Rev. Lett
1999
Earlier work this paper cites.
Bonazzola, S., Gourgoulhon, E., and Marck, J.A., “Spectral methods in general relativistic astrophysics”, J. Comput. Appl. Math
1999
Earlier work this paper cites.
Frauendiener, J., “Calculating initial data for the conformal Einstein equations by pseudo-spectral methods”, J. Comput. Appl. Math
1999
Earlier work this paper cites.
Friedrich, H., and Nagy, G., “The Initial Boundary Value Problem for Einstein’s Vacuum Field Equation”, Commun. Math. Phys
1999
Earlier work this paper cites.
Gourgoulhon, E., Haensel, P., Livine, R., Paluch, E., Bonazzola, S., and Marck, J.-A., “Fast rotation of strange stars”, Astron. Astrophys
1999
Earlier work this paper cites.
Kokkotas, K.D., and Schmidt, B., “Quasi-Normal Modes of Stars and Black Holes”, Living Rev. Relativity
1999
Earlier work this paper cites.
Matzner, R.A., Huq, M.F., and Schoemaker, D., “Initial data and coordinates for multiple black hole systems.”, Phys. Rev. D
1999
Earlier work this paper cites.
Shen, J., Tachim Medjo, T., and Wang, S., “On a Wind-Driven, Double-Gyre, Quasi-Geostrophic Ocean Model: Numerical Simulations and Structural Analysis”, J. Comp. Phys
1999
Earlier work this paper cites.
Alcubierre, M., Brandt, S., Brügmann, B., Gundlach, C., Massó, J., Seidel, E., and Walker, P., “Test-beds and applications for apparent horizon finders in numerical relativity”, Class. Quantum Grav
2000
Earlier work this paper cites.
Bartnik, R., and Norton, A.H., “Numerical methods for the Einstein equations in null quasi-spherical Coordinates”, J. Sci. Comput
2000
Earlier work this paper cites.
Baumgarte, T.W., “The innermost circular orbit of binary black holes”, Phys. Rev. D
2000
Earlier work this paper cites.
Cook, G., “Initial Data for Numerical Relativity”, Living Rev. Relativity
2000
Earlier work this paper cites.
Gondek-Rosińska, D., Bulik, T., Zdunik, L., Gourgoulhon, E., Ray, S., Dey, J., and Dey, M., “Rapidly rotating compact strange stars”, Astron. Astrophys
2000
Earlier work this paper cites.
Hesthaven, J.S., “Spectral penalty methods”, Appl. Numer. Math
2000
Earlier work this paper cites.
Hollerbach, R., “A spectral solution of the magneto-convection equations in spherical geometry”, Int. J. Numer. Meth. Fluids
2000
Earlier work this paper cites.
Kidder, L.E., and Finn, L.S., “Spectral methods for numerical relativity: The initial data problem”, Phys. Rev. D
2000
Earlier work this paper cites.
Kidder, L.E., Scheel, M.A., Teukolsky, S.A., Carlson, E.D., and Cook, G.B., “Black hole evolution by spectral methods”, Phys. Rev. D
2000
Cited alongside, same era.
Novak, J., and Ibáñez, J.M., “Gravitational Waves from the Collapse and Bounce of a Stellar Core in Tensor-Scalar Gravity”, Astrophys. J
2000
Cited alongside, same era.
Pfeiffer, H.P., Teukolsky, S.A., and Cook, G.B., “Quasi-circular orbits for spinning binary black holes.”, Phys. Rev. D
2000
Cited alongside, same era.
Shibata, M., “Axisymmetric Simulations of Rotating Stellar Collapse in Full General Relativity – Criteria for Prompt Collapse to Black Holes –”, Prog. Theor. Phys
2000
Cited alongside, same era.
Shiromizu, T., and Shibata, M., “Black holes in the brane world: Time symmetric initial data”, Phys. Rev. D
2000
Cited alongside, same era.
Pretorius, F., “Evolution of Binary Black-Hole Spacetimes”, Phys. Rev. Lett
2005
Later among the works it cites.
Pretorius, F., “Numerical relativity using a generalized harmonic decomposition”, Class. Quantum Grav
2005
Later among the works it cites.
Prix, R., Novak, J., and Comer, G.L., “Relativistic numerical models for stationary superfluid neutron stars”, Phys. Rev. D
2005
Later among the works it cites.
Shibata, M., “Constraining Nuclear Equations of State Using Gravitational Waves from Hypermassive Neutron Stars”, Phys. Rev. Lett
2005
Later among the works it cites.
Taniguchi, K., Baumgarte, T.W., Faber, J.A., and Shapiro, S.L., “Black hole-neutron star binaries in general relativity: Effects of neutron star spin”, Phys. Rev. D
2005
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Uryū, K., and Eriguchi, Y., “A new numerical method for construction quasi-equilibrium sequences of irrotational binary neutron stars in general relativity.”, Phys. Rev. D
2000
Cited alongside, same era.
Zdunik, J.L., Haensel, P., Gondek-Rosińska, D., and Gourgoulhon, E., “Innermost stable circular orbits around strange stars and kHz QPOs in low-mass X-ray binaries”, Astron. Astrophys
2000
Cited alongside, same era.
Boyd, J.B., Chebyshev and Fourier Spectral Methods
2001
Cited alongside, same era.
Gondek-Rosińska, D., Stergioulas, N., Bulik, T., Kluźniak, W., and Gourgoulhon, E., “Lower limits on the maximum orbital frequency around rotating strange stars”, Astron. Astrophys
2001
Cited alongside, same era.
Gourgoulhon, E., Grandclément, P., Taniguchi, K., Marck, J.-A., and Bonazzola, S., “Quasiequilibrium sequences of synchronized and irrotational binary neutron stars in general relativity: Method and tests”, Phys. Rev. D
2001
Cited alongside, same era.
Grandclément, P., Bonazzola, S., Gourgoulhon, E., and Marck, J.-A., “A Multidomain Spectral Method for Scalar and Vectorial Poisson Equations with Noncompact Sources”, J. Comput. Phys
2001
Cited alongside, same era.
Guo, B.-Y., Ma, H.-P., and Tadmor, E., “Spectral vanishing viscosity method for nonlinear conservation laws”, SIAM J. Numer. Anal
2001
Cited alongside, same era.
Villain, L., Bonazzola, S., and Haensel, P., “Inertial modes in stratified rotating neutron stars: An evolutionary description”, Phys. Rev. D
2005
Later among the works it cites.
Winicour, J., “Characteristic Evolution and Matching”, Living Rev. Relativity
2005
Later among the works it cites.
Baker, J.G., Centrella, J., Choi, D.-I., Koppitz, M., and van Meter, J., “Gravitational-Wave Extraction from an Inspiraling Configuration of Merging Black Holes”, Phys. Rev. Lett
2006
Later among the works it cites.
Blanchet, L., “Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries”, Living Rev. Relativity
2006
Later among the works it cites.
Brizuela, D., Martín-García, J.M., and Marugán, G.A.M., “Second- and higher-order perturbations of a spherical spacetime”, Phys. Rev. D
2006
Later among the works it cites.
Campanelli, M., Lousto, C.O., Marronetti, P., and Zlochower, Y., “Accurate Evolutions of Orbiting Black-Hole Binaries without Excision”, Phys. Rev. Lett
2006
Later among the works it cites.
Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A., Spectral Methods: Fundamentals in Single Domains
2006
Later among the works it cites.
Caudill, M., Cook, G.B., Grigsby, J.D., and Pfeiffer, H.P., “Circular orbits and spin in black-hole initial data”, Phys. Rev. D
2006
Later among the works it cites.
Dimmelmeier, H., Stergioulas, N., and Font, J.A., “Non-linear axisymmetric pulsations of rotating relativistic stars in the conformal flatness approximation”, Mon. Not. R. Astron. Soc
2006
Later among the works it cites.
Faber, J.A., Baumgarte, T.W., Shapiro, S.L., Taniguchi, K., and Rasio, F.A., “Dynamical evolution of black hole-neutron star binaries in general relativity: Simulations of tidal disruption”, Phys. Rev. D
2006
Later among the works it cites.
Gourgoulhon, E., and Jaramillo, J.L., “A 3+1 perspective on null hypersurfaces and isolated horizons”, Phys. Rep
2006
Later among the works it cites.
Gourgoulhon, E., and Jaramillo, J.L., “Area evolution, bulk viscosity, and entropy principles for dynamical horizons”, Phys. Rev. D
2006
Later among the works it cites.
Grandclément, P., “Accurate and realistic initial data for black hole-neutron star binaries”, Phys. Rev. D
2006
Later among the works it cites.
Klein, C., “Fourth-order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equation”, Electron. Trans. Numer. Anal
2006
Later among the works it cites.
Lin, L.-M., and Novak, J., “Rotating star initial data for a constrained scheme in numerical relativity”, Class. Quant. Grav
2006
Later among the works it cites.
Lindblom, L., Scheel, M.A., Kidder, L.E., Owen, R., and Rinne, O., “A new generalized harmonic evolution system”, Class. Quant. Grav
2006
Later among the works it cites.
Postnov, K.A., and Yungelson, L.R., “The Evolution of Compact Binary Star Systems”, Living Rev. Relativity
2006
Later among the works it cites.
Rinne, O., “Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations”, Class. Quantum Grav
2006
Later among the works it cites.
Saijo, M., and Gourgoulhon, E., “Viscosity driven instability in rotating relativistic stars”, Phys. Rev. D
2006
Later among the works it cites.
Scheel, M.A., Pfeiffer, H.P., Lindblom, L., Kidder, L.E., Rinne, O., and Teukolsky, S.A., “Solving Einstein’s equations with dual coordinate frames”, Phys. Rev. D
2006
Later among the works it cites.
Shibata, M., Liu, Y.T., Shapiro, S.L., and Stephens, B.C., “Magnetorotational collapse of massive stellar cores to neutron stars: Simulations in full general relativity”, Phys. Rev. D
2006
Later among the works it cites.
Shibata, M., and Uryū, K., “Merger of black hole-neutron star binaries: Nonspinning black hole case”, Phys. Rev. D
2006
Later among the works it cites.
Taniguchi, K., Baumgarte, T.W., Faber, J.A., and Shapiro, S.L., “Quasiequilibrium sequences of black hole-neutron star binaries in spatial conformal flatness”, Phys. Rev. D
2006
Later among the works it cites.
Tichy, W., “Black hole evolution with the BSSN system by the pseudo-spectral methods”, Phys. Rev. D
2006
Later among the works it cites.
Uryū, K., Limousin, F., Friedman, J.L., Gourgoulhon, E., and Shibata, M., “Binary Neutron Stars: Equilibrium Models beyond Spatial Conformal Flatness”, Phys. Rev. Lett
2006
Later among the works it cites.
Yoshino, H., Shiromizu, T., and Shibata, M., “Close-slow analysis for head-on collision of two black holes in higher dimensions: Bowen-York initial data”, Phys. Rev. D
2006
Later among the works it cites.
Zdunik, J.L., Bejger, M., Haensel, P., and Gourgoulhon, E., “Phase transitions in rotating neutron stars cores: back bending, stability, corequakes, and pulsar timing”, Astron. Astrophys
2006
Later among the works it cites.
Andersson, N., and Comer, G.L., “Relativistic Fluid Dynamics: Physics for Many Different Scales”, Living Rev. Relativity
2007
Closest in time.
Ansorg, M., “A multi-domain spectral method for initial data of arbitrary binaries in general relativity”, Class. Quantum Grav
2007
Closest in time.
Bejger, M., Haensel, P., and Zdunik, J.L., “Rotation at 1122 Hz and the neutron star structure”, Astron. Astrophys
2007
Closest in time.
Bičák, J., “Einstein equations: exact solutions”, in Françoise, J.-P., Naber, G.L., and Tsou, S.T., eds., Encyclopedia of Mathematical Physics
2007
Closest in time.
Bonazzola, S., Jaramillo, J.L., and Novak, J., “A fast stroboscopic spectral method for rotating systems in numerical relativity”, Class. Quantum Grav
2007
Closest in time.
Boronski, P., and Tuckerman, L. S., “Poloidal toroidal decomposition in a finite cylinder. I: Influence matrices for the magnetohydrodynamic equations”, J.Comp. Phys
2007
Closest in time.
Boyle, M., Lindblom, L., Pfeiffer, H.P., Scheel, M.A., and Kidder, L.E., “Testing the accuracy and stability of spectral methods in numerical relativity”, Phys. Rev. D
2007
Closest in time.
Buchman, L.T., and Sarbach, O.C.A., “Improved outer boundary conditions for Einstein’s field equations”, Class. Quantum Grav
2007
Closest in time.
Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A., Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics
2007
Closest in time.
Dimmelmeier, H., Ott, C.D., Janka, H.-T., Marek, A., and Müller, E., “Generic Gravitational-Wave Signals from the Collapse of Rotating Stellar Cores”, Phys. Rev. Lett
2007
Closest in time.
Gondek-Rosińska, D., Bejger, M., Bulik, T. Gourgoulhon, E., Haensel, P., Limousin, F., Taniguchi, K., and Zdunik, J.L., “The final phase of inspiral of neutron stars: realistic equations of state”, Advances in Space Research
2007
Closest in time.
González, J.A., Hannam, M., Sperhake, U., Brügmann, B., and Husa, S., “Supermassive Recoil Velocities for Binary Black-Hole Mergers with Antialigned Spins”, Phys. Rev. Lett
2007
Closest in time.
Gourgoulhon, E., “3+1 formalism and Bases of Numerical Relativity”, Lecture notes, (2007). URL (cited on 20 February 2007): http://arXiv.org/abs/gr-qc/0703035
2007
Closest in time.
Gourgoulhon, E., Grandclément, P., Marck, J.-A., and Novak, J., “LORENE: Langage Objet pour la RElativité NumériquE”, project homepage, L’Observatoire de Paris. URL (cited on 9 March 2007): http://www.lorene.obspm.fr
2007
Closest in time.
Herrmann, F., Hinder, I., Shoemaker, D.M., Laguna, P., and Matzner, R.A., “Binary black holes: Spin dynamics and gravitational recoil”, Phys. Rev. D
2007
Closest in time.
Hesthaven, J.S., Gottlieb, S., and Gottlieb, D., Spectral Methods for Time-Dependent Problems
2007
Closest in time.
Jaramillo, J.L., Ansorg, M., and Limousin, F., “Numerical implementation of isolated horizon boundary conditions”, Phys. Rev. D
2007
Closest in time.
Lin, L.-M., and Novak, J., “A new spectral apparent horizon finder for 3D numerical relativity”, Class. Quantum Grav
2007
Closest in time.
Løvgren, A.E., Rønquist, E.M., and Maday, Y., “The reduced basis element method for fluid flows”, in Calgaro, C., Coulombel, J.-F., and Goudon, T., eds., Analysis and Simulation of Fluid Dynamics
2007
Closest in time.
Moore, S., Healy, D., Rockmore, D., and Kostelec, P., “Fast Spherical Harmonic Transforms: SpharmonicKit”, project homepage, Dartmouth College. URL (cited on 19 January 2007): http://www.cs.dartmouth.edu/~geelong/sphere/
2007
Closest in time.
Oechslin, R., and Janka, H.-T., “Gravitational Waves from Relativistic Neutron-Star Mergers with Microphysical Equations of State”, Phys. Rev. Lett
2007
Closest in time.
Ott, C.D., Dimmelmeier, H., Marek, A., Janka, H.-T., Hawke, I., Zink, B., and Schnetter, E., “3D Collapse of Rotating Stellar Iron Cores in General Relativity Including Deleptonization and a Nuclear Equation of State”, Phys. Rev. Lett
2007
Closest in time.
Ott, C.D., Dimmelmeier, H., Marek, A., Janka, H.-T., Zink, B., Hawke, I., and Schnetter, E., “Rotating collapse of stellar iron cores in general relativity”, Class. Quantum Grav
2007
Closest in time.
Pfeiffer, H.P., Brown, D.A., Kidder, L.E., Lindblom, L., Lovelace, G., and Scheel, M.A., “Reducing orbital eccentricity in binary black hole simulations”, Class. Quantum Grav
2007
Closest in time.
Pollney, D., Reisswig, C., Rezzolla, L., Szilágyi, B., Ansorg, M., Deris, B., Diener, P., Dorband, E.N., Koppitz, M., Nagar, A., and Schnetter, E., “Recoil velocities from equal-mass binary black-hole mergers: A systematic investigation of spin-orbit aligned configurations”, Phys. Rev. D
2007
Closest in time.
Quarteroni, A., Sacco, R., and Saleri, F., Méthodes Numériques: Algorithmes, Analyse et Applications
2007
Closest in time.
Rinne, O., Lindblom, L., and Scheel, M.A., “Testing outer boundary treatments for the Einstein equations”, Class. Quantum Grav
2007
Closest in time.
Ruiz, M., Rinne, O., and Sarbach, O., “Outer boundary conditions for Einstein’s field equations in harmonic coordinates”, Class. Quantum Grav
2007
Closest in time.
Shibata, M., and Uryu, K., “Merger of black hole neutron star binaries in full general relativity”, Class. Quantum Grav
2007
Closest in time.
Stephens, B.C., Duez, M.D., Liu, Y.T., Shapiro, S.L., and Shibata, M., “Collapse and black hole formation in magnetized, differentially rotating neutron stars”, Class. Quantum Grav
2007
Closest in time.
Taniguchi, K., Baumgarte, T.W., Faber, J.A., and Shapiro, S.L., “Quasiequilibrium black hole-neutron star binaries in general relativity”, Phys. Rev. D
2007
Closest in time.
Tichy, W., and Marronetti, P., “Binary black hole mergers: Large kicks for generic spin orientations”, Phys. Rev. D
2007
Closest in time.
Zdunik, J.L., Bejger, M., Haensel, P., and Gourgoulhon, E., “Energy release associated with a first-order phase transition in a rotating neutron star core”, Astron. Astrophys
2007
Closest in time.
Anderson, M., Hirschmann, E.W., Lehner, L., Liebling, S.L., Motl, P.M., Neilsen, D., Palenzuela, C., and Tohline, J.E., “Simulating binary neutron stars: Dynamics and gravitational waves”, Phys. Rev. D
2008
Closest in time.
2008
Closest in time.
Cordero-Carrión, I., Ibáñez, J.M., Gourgoulhon, E., Jaramillo, J.L., and Novak, J., “Mathematical Issues in a Fully-Constrained Formulation of Einstein Equations”, Phys. Rev. D
2008
Closest in time.
Foucart, F., Kidder, L.E., Pfeiffer, H.P., and Teukolsky, S.A., “Initial data for black hole-neutron star binaries: a flexible, high-accuracy spectral method”, Phys. Rev. D
2008
Closest in time.
2008
Closest in time.
2008
Closest in time.
Lindblom, L., Matthews, K.D., Rinne, O., and Scheel, M.A., “Gauge Drivers for the Generalized Harmonic Einstein Equations”, Phys. Rev. D
2008
Closest in time.
Liu, Y.T., Shapiro, S.L., Etienne, Z.B., and Taniguchi, K., “General relativistic simulations of magnetized binary neutron star mergers”, Phys. Rev. D
2008
Closest in time.
2008
Closest in time.
Max Planck Institute for Gravitational Physics, “The Cactus Code”, project homepage. URL (cited on 15 April 2008): http://www.cactuscode.org
2008
Closest in time.
Pan, Y., Buonanno, A., Baker, J.G., Centrella, J., Kelly, B.J., McWilliams, S.T., Pretorius, F., and van Meter, J.R., “Data-analysis driven comparison of analytic and numerical coalescing binary waveforms: Nonspinning case”, Phys. Rev. D
2008
Closest in time.
2008
Closest in time.
Taniguchi, K., Baumgarte, T.W., Faber, J.A., and Shapiro, S.L., “Relativistic black hole-neutron star binaries in quasiequilibrium: effects of the black hole excision boundary condition”, Phys. Rev. D
2008
Closest in time.
Zdunik, J.L., Bejger, M., Haensel, P., and Gourgoulhon, E., “Strong first-order phase transition in a rotation neutron star core and the associated energy release”, Astron. Astrophys
2008
Closest in time.