Quadrature algorithms to the luminosity distance with a time-dependent dark energy model

Journal Article · Tue Nov 01 04:00:00 EDT 2011 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2011/11/047· OSTI ID:22280280

Yue, Nan-Nan; Liu, De-Zi; Pei, Xiao-Xing; Zhang, Tong-Jie; Yang, Zhi-Liang ^[1]; Zhu, Fang-Fang ^[2]

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1. Department of Astronomy, Beijing Normal University, Beijing 100875 (China)
2. School of Mathematical Science, Beijing Normal University, Beijing 100875 (China)

In our previous work [1], we have proposed two methods for computing the luminosity distance d{sub L}{sup Λ} in ΛCDM model. In this paper, two effective quadrature algorithms, known as Romberg Integration and composite Gaussian Quadrature, are presented to calculate the luminosity distance d{sub L}{sup CPL} in the Chevallier-Polarski-Linder parametrization(CPL) model. By comparing both the efficiency and accuracy of the two algorithms, we find that the second is more promising. Moreover, we develop another strategy adapted for approximating d{sub L}{sup Λ} in flat ΛCDM universe. To some extent, our methods can make contributions to the recent numerical stimulation for the investigation of dark energy cosmology.

• OSTI ID: 22280280
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 11 Vol. 2011; ISSN 1475-7516
• Country of Publication: United States
• Language: English

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79 ASTRONOMY AND ASTROPHYSICS
ALGORITHMS
APPROXIMATIONS
COMPARATIVE EVALUATIONS
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
COSMOLOGY
NONLUMINOUS MATTER
QUADRATURES
TIME DEPENDENCE
UNIVERSE