Product integration for the linear transport equation in slab geometry
type: Item
instance of: scholarly article
title: Product integration for the linear transport equation in slab geometry
zbMATH Open document ID: 0618.65143
DOI: 10.1007/BF01398690
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133233
review text: 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 is \(O(n^{-3+\delta})\), \(\delta >0\) 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.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 4003478
zbMATH Keywords: product quadrature rule
zbMATH Keywords: linear transport equation in slab geometry
zbMATH Keywords: order of convergence
zbMATH Keywords: numerical examples
zbMATH Keywords: product Simpson rules
zbMATH Keywords: Nyström method
author: G. Monegato
author: V. Colombo
MaRDI profile type: Publication
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OpenAlex ID: W4240760354
description: scientific article; zbMATH DE number 4003478