Product integration for the linear transport equation in slab geometry
- Cite this article as:
- Monegato, G. & Colombo, V. Numer. Math. (1988) 52: 219. doi:10.1007/BF01398690
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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.