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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