Product integration for the linear transport equation in slab geometry |
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Authors: | G. Monegato V. Colombo |
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Affiliation: | (1) Dipartimento di Matematica, Politecnico di Torino, I-10129 Torino, Italy;(2) Dipartimento di Energetica, Politecnico di Torino, I-10129 Torino, Italy |
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Abstract: | Summary In this paper we present a product quadrature rule for the discretization of the well-known linear transport equation in slab geometry. In particular we give an algorithm for constructing the weights of the rule and prove that the order of convergence isO(n–3+), >0 small as we like. Numerical examples are given, and our formula is also compared with product Simpson rules. Finally, we examine a Nyström method based on our quadrature.Work sponsored by the Ministero della Pubblica Instruzione of Italy |
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Keywords: | AMS(MOS):65R20 65D32 CR: G1.4 |
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