Numerische Mathematik

, Volume 52, Issue 2, pp 219–240

Product integration for the linear transport equation in slab geometry

  • G. Monegato
  • V. Colombo
Article

DOI: 10.1007/BF01398690

Cite this article as:
Monegato, G. & Colombo, V. Numer. Math. (1988) 52: 219. doi:10.1007/BF01398690

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.

Subject Classifications

AMS(MOS):65R20 65D32 CR: G1.4 

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • G. Monegato
    • 1
  • V. Colombo
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di TorinoTorinoItaly
  2. 2.Dipartimento di EnergeticaPolitecnico di TorinoTorinoItaly

Personalised recommendations