Reliable computation of a multiple integral involved in the neutron star theory

F. Jézéquel, F. Rico, J.-M. Chesneaux and M. Charikhi

Mathematics and Computers in Simulation (MATCOM), 2006, vol. 71, issue 1, 44-61

Abstract: The following multiple integral is involved in the neutron star theory:τ(ε,v)=1ω(ε)∫0π/2dθsin⁡(θ)∫0∞dnn2∫0∞dph(n,p,θ,ε,v)whereh(n,p,θ,ε,v)=ψ(z)ϕ(n−ε−z)+ψ(−z)ϕ(n−ε+z)−ψ(z)ϕ(n+ε−z)−ψ(z)ϕ(n+ε+z)andz=p2+(vsin⁡(θ))2,ψ(x)=1exp⁡x+1,ϕ(x)=xexp⁡x−1.ω(ε) is a normalization function.

Keywords: Neutron star; Numerical validation; Multiple integral; Gauss–Legendre method; CESTAC method; Discrete Stochastic Arithmetic (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:71:y:2006:i:1:p:44-61

DOI: 10.1016/j.matcom.2005.11.014

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