An L 1-Product-Integration Method in Astrophysics

M. Ahues Blanchait () and H. Kaboul ()
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M. Ahues Blanchait: University of Lyon, Camille Jordan Institute
H. Kaboul: University of Lyon, Camille Jordan Institute

Chapter Chapter 1 in Integral Methods in Science and Engineering, Volume 1, 2017, pp 1-7 from Springer

Abstract: Abstract The weakly singular transfer equation in Astrophysics is settled in the Lebesgue complex Banach space L 1 ( [ a , b ] , ℂ ) $$L^{1}([a,b], \mathbb{C})$$ . In this paper, sufficient conditions are given for the existence and uniqueness of the solution and the approximate solution issued from an extension of the product-integration method. The accuracy of the approximate solution is improved through three iterative refinement schemes.

Date: 2017
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DOI: 10.1007/978-3-319-59384-5_1

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