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Product integration for the linear transport equation in slab geometry (1988)

Monegato, G. ; Colombo, V.

Springer

Numerische Mathematik 52 (1988), S. 219-240

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ISSN: 0945-3245

Keywords: AMS(MOS):65R20 ; 65D32 ; CR: G1.4

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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+δ ), δ〉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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01398690

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