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  • 1
    Electronic Resource
    Electronic Resource
    Product integration for the linear transport equation in slab geometry (1988)
    Springer
    Numerische Mathematik 52 (1988), S. 219-240 
    Details
    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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