Fetching the paper…
Reading the bibliography…
We present an algorithm to generate application-specific, global reduced order quadratures (ROQ) for multiple fast evaluations of weighted inner products between parameterized functions.
L. A. Wainstein, V. D. Zubakov, Extraction of signals from noise, Prentice-Hall, London, 1962
1962
Earlier work this paper cites.
A. Pinkus, N-widths in approximation theory, Springer, Amsterdam, 1985
1985
Earlier work this paper cites.
arXiv:gr-qc/9209010
L. S. Finn, Detection, measurement and gravitational radiation, Phys.Rev. D46 (1992) 5236–5249 · 1992
Earlier work this paper cites.
W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes, 2nd Edition, Cambridge University Press, New York, 1992
1992
Earlier work this paper cites.
arXiv:gr-qc/9501029
L. Blanchet, T. Damour, B. R. Iyer, Gravitational waves from inspiralling compact binaries: Energy loss and wave form to second postNewtonian order, Phys. Rev. D51 (1995) 5360 · 1995
Earlier work this paper cites.
arXiv:gr-qc/9608012
C. M. Will, A. G. Wiseman, Gravitational radiation from compact binary systems: gravitational waveforms and energy loss to second post-Newtonian order, Phys. Rev. D 54 (1996) 4813–4848 · 1996
Earlier work this paper cites.
B. J. Owen, Search templates for gravitational waves from inspiraling binaries: Choice of template spacing, Phys. Rev. D 53 (1996) 6749
1996
Earlier work this paper cites.
B. C. Barish, R. Weiss, LIGO and the detection of gravitational waves, Phys. Today 52N10 (1999) 44–50
1999
Earlier work this paper cites.
arXiv:gr-qc/9903108
B. J. Owen, B. S. Sathyaprakash, Matched filtering of gravitational waves from inspiraling compact binaries: Computational cost and template placement, Phys. Rev. D 60 (1999) 022002 · 1999
Earlier work this paper cites.
D. Manolakis, V. Ingle, S. Kogon, Statistical and adaptive signal processing: spectral estimation, signal modeling, adaptive filtering, and array processing , Artech House signal processing library, Artech House, 2000. URL http://books.google.com/books?id=3RQfAQAAIAAJ
2000
Earlier work this paper cites.
arXiv:gr-qc/9812014
P. R. Brady, T. Creighton, Searching for periodic sources with LIGO. 2. Hierarchical searches, Phys.Rev. D61 (2000) 082001 · 2000
Earlier work this paper cites.
doi:10.1007/s002110100308
J. Xu, L. Zikatanov, Some observations on babuška and brezzi theories , Numer. Math. 94 (1) (2003) 195–202 · 2003
Earlier work this paper cites.
arXiv:gr-qc/0211028
T. W. Baumgarte, S. L. Shapiro, Numerical relativity and compact binaries, Physics Reports 376 (2) (2003) 41–131 · 2003
Earlier work this paper cites.
doi:10.1016/j.crma.2004.08.006
M. Barrault, Y. Maday, N. C. Nguyen, A. T. Patera, An empirical interpolation method: application to efficient reduced-basis discretization of partial differential equations, Comptes Rendus Mathematique 339 (2004) 667–672 · 2004
Earlier work this paper cites.
M. Hinze, S. Volkwein, Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control, in: Dimension reduction of large-scale systems, Vol. 45 of Lect. Notes Comput. Sci. Eng., Springer, Berlin, 2005, pp. 261–306
2005
Earlier work this paper cites.
doi:10.1007/s11075-006-9046-2
D. B. Szyld, The many proofs of an identity on the norm of oblique projections , Numer. Algorithms 42 (3-4) (2006) 309–323 · 2006
Earlier work this paper cites.
S. J. Waldmann, Status of LIGO at the start of the fifth science run, Class. Quantum Grav. 23 (2006) S653–S660
2006
Cited alongside, same era.
S. Hild, The status of GEO 600, Class. Quantum Grav. 23 (2006) S643–S651
2006
Cited alongside, same era.
F. Acernese, et al., The Virgo status, Class. Quantum Grav. 23 (2006) S635–S642
2006
Cited alongside, same era.
L. Blanchet, Gravitational radiation from post-newtonian sources and inspiralling compact binaries , Living Reviews in Relativity 9 (4). URL http://www.livingreviews.org/lrr-2006-4
2006
Cited alongside, same era.
arXiv:arXiv:gr-qc/0604037
S. Babak, R. Balasubramanian, D. Churches, T. Cokelaer, B. S. Sathyaprakash, A template bank to search for gravitational waves from inspiralling compact binaries: I. Physical models, Classical and Quantum Gravity 23 (2006) 5477–5504 · 2006
Cited alongside, same era.
A. Quarteroni, R. Sacco, F. Saleri, Numerical Mathematics, Springer, Berlin, 2010
2010
Later among the works it cites.
J. Abadie, et al., Predictions for the Rates of Compact Binary Coalescences Observable by Ground-based Gravitational-wave Detectors, Class. Quantum Grav. 27 (2010) 173001 · 2010
Later among the works it cites.
J. Centrella, J. G. Baker, B. J. Kelly, J. R. van Meter, Black-hole binaries, gravitational waves, and numerical relativity, Rev.Mod.Phys. 82 (2010) 3069 · 2010
Later among the works it cites.
doi:10.1103/PhysRevD.82.022001
L.-C. Tu, Q. Li, Q.-L. Wang, C.-G. Shao, S.-Q. Yang, et al., New determination of the gravitational constant G with time-of-swing method, Phys.Rev. D82 (2010) 022001 · 2010
Later among the works it cites.
P. S. Shawhan, LIGO Scientific Collaboration, Virgo Collaboration, LOOC-UP: Seeking Optical Counterparts to Gravitational-Wave Signal Candidates, in: Bulletin of the American Astronomical Society, Vol. 42 of Bulletin of the American Astronomical Society, 2010, pp. 230–+
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Maggiore, Gravitational Waves Volume 1: Theory and Experiments, Oxford University Press, Oxford, 2008
2008
Cited alongside, same era.
J. Kanner, et al., LOOC UP: Locating and observing optical counterparts to gravitational wave bursts, Class. Quantum Grav. 25 (2008) 184034 · 2008
Cited alongside, same era.
Y. Maday, N. C. Nguyen, A. T. Patera, S. H. Pau, A general multipurpose interpolation procedure: the magic points, Communications on Pure and Applied Analysis 8 (2009) 383–404
2009
Cited alongside, same era.
doi:10.1109/CDC.2009.5400045
S. Chaturantabut, D. Sorensen, Discrete empirical interpolation for nonlinear model reduction, in: Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on, 2009, pp. 4316 –4321 · 2009
Cited alongside, same era.
T. O. Aanonsen, Empirical interpolation with application to reduced basis approximations , Ph.D. thesis, Norwegian University of Science and Technology (2009). URL http://ntnu.diva-portal.org/smash/record.jsf?pid=diva2:%348771
2009
Cited alongside, same era.
B. Abbott, et al., LIGO: The Laser Interferometer Gravitational-Wave Observatory, Rept. Prog. Phys. 72 (2009) 076901 · 2009
Cited alongside, same era.
P. Ajith, S. Bose, Estimating the parameters of non-spinning binary black holes using ground-based gravitational-wave detectors: Statistical errors, Phys.Rev. D79 (2009) 084032 · 2009
Cited alongside, same era.
2010
Later among the works it cites.
P. Binev, A. Cohen, W. Dahmen, R. A. DeVore, G. Petrova, P. Wojtaszczyk, Convergence rates for greedy algorithms in reduced basis methods. , SIAM J. Math. Analysis 43 (3) (2011) 1457–1472. URL http://dblp.uni-trier.de/db/journals/siamma/siamma43.ht%ml#BinevCDDPW11
2011
Later among the works it cites.
S. E. Field, C. R. Galley, F. Herrmann, J. S. Hesthaven, E. Ochsner, M. Tiglio, Reduced basis catalogs for gravitational wave templates, Phys. Rev.Lett. 106 (2011) 221102 · 2011
Later among the works it cites.
K. Cannon, C. Hanna, D. Keppel, Efficiently enclosing the compact binary parameter space by singular-value decomposition, Phys.Rev. D84 (2011) 084003 · 2011
Later among the works it cites.
M. Vallisneri, Beyond Fisher: exact sampling distributions of the maximum-likelihood estimator in gravitational-wave parameter estimation, Phys. Rev. Lett. 107 (2011) 191104 · 2011
Later among the works it cites.
doi:10.1002/nme.3327
J. L. Eftang, B. Stamm, Parameter multi-domain empirical interpolation , International Journal for Numerical Methods in Engineering 90 (4) (2012) 412–428 · 2012
Closest in time.
S. Caudill, S. E. Field, C. R. Galley, F. Herrmann, M. Tiglio, Reduced Basis representations of multi-mode black hole ringdown gravitational waves, Class. Quant. Grav. 29 (2012) 095016 · 2012
Closest in time.
doi:10.1103/PhysRevD.86.084046
S. E. Field, C. R. Galley, E. Ochsner, Towards beating the curse of dimensionality for gravitational waves using reduced basis , Phys. Rev. D 86 (2012) 084046 · 2012
Closest in time.
K. Cannon, R. Cariou, A. Chapman, M. Crispin-Ortuzar, N. Fotopoulos, et al., Toward Early-Warning Detection of Gravitational Waves from Compact Binary Coalescence, Astrophys.J. 748 (2012) 136 · 2012
Closest in time.
doi:10.1016/j.crma.2012.05.012
F. Casenave, Accurate a posteriori error evaluation in the reduced basis method , Comptes Rendus Mathematique 350 (9–10) (2012) 539 – 542 · 2012
Closest in time.
doi:10.1137/080724812
C. Canuto, T. Tonn, K. Urban, A posteriori error analysis of the reduced basis method for nonaffine parametrized nonlinear pdes , SIAM J. Numer. Anal. 47 (3) (2009) 2001–2022 · 2022
Closest in time.