{"arxiv_id":"gr-qc/0312112","incoming":{"papers":15,"sentences":16,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":5,"sentences":6,"quotes":[{"arxiv_id":"1209.4085","title":"Eccentric black hole mergers and zoom-whirl behavior from elliptic inspirals to hyperbolic encounters","url":"/paper/1209.4085","section":"Method","sentence":"We performed a parameter study of the black hole binary problem using 3d numerical simulations obtained with the BAM code [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1205.3403","title":"Tidal effects in binary neutron star coalescence","url":"/paper/1205.3403","section":"Numerical simulations","sentence":"Evolutions were performed with the BAM code described in [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1806.01625","title":"CoRe database of binary neutron star merger waveforms and its application in waveform development","url":"/paper/1806.01625","section":"Simulation Methods","sentence":"We use two different NR codes: [ref] and [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2308.03955","title":"Numerical Relativity Estimates of the Remnant Recoil Velocity in Binary Neutron Star Mergers","url":"/paper/2308.03955","section":"GRHD simulations","sentence":"Z4c [ref] hyperbolic conformal formulations of 3+1 Einstein field equations are used for evolving the initial data along with a Kurganov-Tadmor type scheme with high-order primitive reconstruction with MP5 and second-order accurate flux integration.","intent_p":0.99,"contests_p":null},{"arxiv_id":"1307.5307","title":"Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration","url":"/paper/1307.5307","section":"Moving Punctures Codes","sentence":"All moving punctures codes employ mesh refinement provided by Carpet [ref] or BAM [ref] and use 5th order Lagrange polynomial interpolation in space and 2nd order in time (6th order and 3rd order accurate respectively).","intent_p":0.95,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":4,"sentences":4,"quotes":[{"arxiv_id":"2606.24432","title":"Binary black hole scattering with generic spins","url":"/paper/2606.24432","section":"Introduction","sentence":"Numerical relativity (NR), on the other hand, solves the two-body problem non-perturbatively from the full Einstein field equations [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"0805.1428","title":"Mergers of nonspinning black-hole binaries: Gravitational radiation characteristics","url":"/paper/0805.1428","section":"Introduction","sentence":"After the series of breakthroughs that ushered in an era of rapid progress in the field [ref] , several investigations assessing the accuracy of the available equal mass waveforms and applying them to data analysis were conducted [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2607.27991","title":"Towards long and accurate numerical relativity waveforms of binary black holes beyond general relativity","url":"/paper/2607.27991","section":"Introduction","sentence":"Despite such numerous potential applications, NR binary BH waveforms beyond GR have been historically difficult to produce, echoing the grand challenges that characterised NR before and in the years immediately following the binary BH breakthrough [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"2311.16251","title":"Boson star head-on collisions with constraint-violating and constraint-satisfying initial data","url":"/paper/2311.16251","section":"Introduction","sentence":"With the first successful numerical relativity (NR) simulations of binary black hole (BH) collisions carried out [ref] , an industry for engineering waveform templates was founded which played a key role in the first gravitational wave (GW) detections [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":6},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/gr-qc/0312112"}}