NUMERICAL MODELING OF GRAVITATIONAL WAVES
INTRODUCTION HIGH-ACCURACY COMPARISON OF NUMERICAL RELATIVITY SIMULATIONS WITH POST-NEWTONIAN EXPANSIONS GENERATION OF NUMERICAL WAVEFORMS INITIAL DATA EVOLUTION OF THE INSPIRAL PHASE ESCORTING GRAVITATIONAL WAVES WAVEFORM EXTRACTION CONVERGENCE OF EXTRACTED WAVEFORMS EXTRAPOLATION TO IN?NITY ESTIMATED TIME OF MERGER GENERATION OF POST-NEWTONIAN WAVEFORMS ADIABATIC INSPIRAL OF QUASI-CIRCULAR ORBITS POLARIZATION WAVEFORMS ABSORBING AMPLITUDE TERMS INTO A REDE?NITION OF THE PHASE ENERGY BALANCE TAYLOR APPROXIMANTS: COMPUTING ?(T) PN-NR COMPARISON PROCEDURE WHAT TO COMPARE? MATCHING PROCEDURE CHOICE OF MASSES ESTIMATION OF UNCERTAINTIES ERRORS IN NUMERICAL APPROXIMATIONS CONSTANCY OF EXTRACTION RADII CONSTANCY OF MASS TIME COORDINATE AMBIGUITY ECCENTRICITY SPIN RESULTS COMPARISON WITH INDIVIDUAL POST-NEWTONIAN APPROXIMANTS COMPARING DIFFERENT POST-NEWTONIAN APPROXIMANTS CONCLUSIONS INEFFECTIVENESS OF PAD´E RESUMMATION TECHNIQUES IN POST-NEWTONIAN APPROXIMATIONS ENERGY FUNCTION FLUX FUNCTION FLUX FOR THE TEST MASS CASE FLUX FOR THE EQUAL MASS CASE PAD´E WAVEFORMS PROCEDURE SIMPLE EOB MODEL EOB WAVEFORMS HAMILTON’S EQUATIONS INITIAL CONDITIONS BEST FIT OF F8 HIGH-ACCURACY NUMERICAL SIMULATION OF BLACK-HOLE BINARIES:COMPUTATION OF THE GRAVITATIONAL-WAVE ENERGY ?UX AND COMPARISONS WITH POST- NEWTONIAN APPROXIMANTS COMPUTATION OF THE NUMERICAL GRAVITATIONAL-WAVE ENERGY ?UX OVERVIEW AND DE?NITIONS CALCULATION OF ?H UNCERTAINTIES IN NUMERICAL QUANTITIES POST-NEWTONIAN APPROXIMANTS ADIABATIC TAYLOR APPROXIMANTS ADIABATIC PAD´E APPROXIMANTS NON-ADIABATIC EFFECTIVE-ONE-BODY APPROXIMANTS WAVEFORMS COMPARISON WITH POST-NEWTONIAN APPROXIMANTS: ENERGY ?UX FLUX COMPARISON ON THE ?TTING OF THE NUMERICAL RELATIVITY ENERGY ?UX ESTIMATION OF THE (DERIVATIVE OF THE) CENTER-OF-MASS ENERGY COMPARING WAVEFORMS PAD´E WAVEFORMS EFFECTIVE-ONE-BODY WAVEFORMS EXTRAPOLATING GRAVITATIONAL-WAVE DATA FROM NUMERICAL SIMULATIONS EXTRAPOLATION USING APPROXIMATE TORTOISE COORDINATES RADIAL PARAMETER RETARDED-TIME PARAMETER APPLICATION TO A BINARY INSPIRAL CHOOSING THE ORDER OF EXTRAPOLATION CHOOSING EXTRACTION RADII EXTRAPOLATION USING THE PHASE OF THE WAVEFORM DESCRIPTION OF THE METHOD COMPARISON OF THE TWO METHODS FILTERING MEASURING ORBITAL ECCENTRICITY AND PERIASTRON ADVANCE IN QUASI-CIRCULAR BLACK HOLE SIMULATIONS ECCENTRICITY ESTIMATES MEASURING ECCENTRICITY FROM A NEWTONIAN DE?NITION MEASURING ECCENTRICITY FROM RESIDUAL OSCILLATIONS OF OR- BITAL VARIABLES MEASURING ECCENTRICITY FROM THE RESIDUAL WAVE OSCILLATIONS ECCENTRICITY EVOLUTION PERIASTRON PRECESSION NUMERICAL METHOD FOR MEASURING THE PERIASTRON ADVANCE PN PERIASTRON ADVANCE TEST MASS PERIASTRON ADVANCE FOR A SCHWARZSCHILD BLACK HOLE LAPLACE-RUNGE-LENZ VECTOR DISCUSSION