Built on

G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, 1966)
1966
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Ya. B. Zeldovich, Astron. Astrophys. 5
1970
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M. H. Goroff, B. Grinstein, S. J. Rey, and M. B. Wise, Astrophys. J. 311
1986
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B. Jain and E. Bertschinger, Astrophys. J. 431
1994
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F. R. Bouchet, S. Colombi, E. Hivon, and R. Juszkiewicz, Astron. Astrophys. 296
1995
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U. Seljak and M. Zaldarriaga, Astrophys. J. 469
1996
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A. Lewis, A. Challinor, and A. Lasenby, Astrophys. J. 538
2000
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A. J. S. Hamilton, Mon. Not. R. Astron. Soc. 312
2000
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F. Bernardeau, S. Colombi, E. Gaztañaga, and R. Scoccimarro, Physics reports 367
2002
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The Dark Energy Survey Collaboration, ArXiv Astrophysics e-prints (2005), astro-ph/0510346
2005
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W. A. Fendt and B. D. Wandelt, Astrophys. J. 654
2007
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Similar

T. Matsubara, Phys. Rev. D77
Original
2008
Cited alongside, same era.
T. Matsubara, Phys. Rev. D 78
Original
2008
Cited alongside, same era.
J. Carlson, M. White, and N. Padmanabhan, Phys. Rev. D 80
Original
2009
Cited alongside, same era.
J. R. Fergusson, M. Liguori, and E. P. S. Shellard, Phys. Rev. D 82
Original
2010
Cited alongside, same era.
“NIST Digital Library of Mathematical Functions,” http://dlmf.nist.gov/, Release 1.0.5 of 2012-10-01, online companion to Olver et al. 2010
2010
Cited alongside, same era.

Then

M. Levi, C. Bebek, T. Beers, R. Blum, R. Cahn, D. Eisenstein, B. Flaugher, K. Honscheid, R. Kron, O. Lahav, P. McDonald, N. Roe, D. Schlegel, and representing the DESI collaboration, ArXiv e-prints (2013), arXiv:1308.0847 [astro-ph.CO]
Original
2013
Later among the works it cites.
D. Blas, M. Garny, and T. Konstandin, JCAP 1309
Original
2013
Later among the works it cites.
O. Doré, J. Bock, M. Ashby, P. Capak, A. Cooray, R. de Putter, T. Eifler, N. Flagey, Y. Gong, S. Habib, et al. , ArXiv e-prints (2014), arXiv:1412.4872
Original
2014
Later among the works it cites.
J. J. M. Carrasco, S. Foreman, D. Green, and L. Senatore, JCAP 7
Original
2014
Later among the works it cites.
D. Spergel, N. Gehrels, C. Baltay, D. Bennett, J. Breckinridge, M. Donahue, A. Dressler, B. S. Gaudi, T. Greene, O. Guyon, C. Hirata, et al. , ArXiv e-prints (2015), arXiv:1503.03757 [astro-ph.IM]

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2016

Fast Large Scale Structure Perturbation Theory using 1D FFTs

Schmittfull, Marcel, Vlah, Zvonimir, McDonald, Patrick

Understand

The usual fluid equations describing the large-scale evolution of mass density in the universe can be written as local in the density, velocity divergence, and velocity potential fields.

As a result, the perturbative expansion in small density fluctuations, usually written in terms of convolutions in Fourier space, can be written as a series of products of these fields evaluated at the same location in configuration space.
Based on this, we establish a new method to numerically evaluate the 1-loop power spectrum (i.e., Fourier transform of the 2-point correlation function) with one-dimensional Fast Fourier Transforms.
This is exact and a few orders of magnitude faster than previously used numerical approaches.

Built on

G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, 1966)
1966
Earlier work this paper cites.
Ya. B. Zeldovich, Astron. Astrophys. 5
1970
Earlier work this paper cites.
M. H. Goroff, B. Grinstein, S. J. Rey, and M. B. Wise, Astrophys. J. 311
1986
Earlier work this paper cites.
B. Jain and E. Bertschinger, Astrophys. J. 431
1994
Earlier work this paper cites.
F. R. Bouchet, S. Colombi, E. Hivon, and R. Juszkiewicz, Astron. Astrophys. 296
1995
Earlier work this paper cites.
U. Seljak and M. Zaldarriaga, Astrophys. J. 469
1996
Earlier work this paper cites.
A. Lewis, A. Challinor, and A. Lasenby, Astrophys. J. 538
2000
Earlier work this paper cites.
A. J. S. Hamilton, Mon. Not. R. Astron. Soc. 312
2000
Earlier work this paper cites.
F. Bernardeau, S. Colombi, E. Gaztañaga, and R. Scoccimarro, Physics reports 367
2002
Earlier work this paper cites.
The Dark Energy Survey Collaboration, ArXiv Astrophysics e-prints (2005), astro-ph/0510346
2005
Earlier work this paper cites.
W. A. Fendt and B. D. Wandelt, Astrophys. J. 654
2007
Earlier work this paper cites.

Similar

T. Matsubara, Phys. Rev. D77
Original
2008
Cited alongside, same era.
T. Matsubara, Phys. Rev. D 78
Original
2008
Cited alongside, same era.
J. Carlson, M. White, and N. Padmanabhan, Phys. Rev. D 80
Original
2009
Cited alongside, same era.
J. R. Fergusson, M. Liguori, and E. P. S. Shellard, Phys. Rev. D 82
Original
2010
Cited alongside, same era.
“NIST Digital Library of Mathematical Functions,” http://dlmf.nist.gov/, Release 1.0.5 of 2012-10-01, online companion to Olver et al. 2010
2010
Cited alongside, same era.

Then

M. Levi, C. Bebek, T. Beers, R. Blum, R. Cahn, D. Eisenstein, B. Flaugher, K. Honscheid, R. Kron, O. Lahav, P. McDonald, N. Roe, D. Schlegel, and representing the DESI collaboration, ArXiv e-prints (2013), arXiv:1308.0847 [astro-ph.CO]
Original
2013
Later among the works it cites.
D. Blas, M. Garny, and T. Konstandin, JCAP 1309
Original
2013
Later among the works it cites.
O. Doré, J. Bock, M. Ashby, P. Capak, A. Cooray, R. de Putter, T. Eifler, N. Flagey, Y. Gong, S. Habib, et al. , ArXiv e-prints (2014), arXiv:1412.4872
Original
2014
Later among the works it cites.
J. J. M. Carrasco, S. Foreman, D. Green, and L. Senatore, JCAP 7
Original
2014
Later among the works it cites.
D. Spergel, N. Gehrels, C. Baltay, D. Bennett, J. Breckinridge, M. Donahue, A. Dressler, B. S. Gaudi, T. Greene, O. Guyon, C. Hirata, et al. , ArXiv e-prints (2015), arXiv:1503.03757 [astro-ph.IM]

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F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark, eds., NIST Handbook of Mathematical Functions (Cambridge University Press, New York, NY, 2010) print companion to NIS

2010

Cited alongside, same era.

R. Laureijs, J. Amiaux, S. Arduini, J. . Auguères, J. Brinchmann, R. Cole, M. Cropper, C. Dabin, L. Duvet, A. Ealet, et al. , ArXiv e-prints (2011), arXiv:1110.3193 [astro-ph.CO]

Original

2011

Cited alongside, same era.

LSST Dark Energy Science Collaboration, ArXiv e-prints (2012), arXiv:1211.0310 [astro-ph.CO]

Original

2012

Cited alongside, same era.

B. D. Sherwin and M. Zaldarriaga, Phys. Rev. D 85

Original