Reconstruction of the time-dependent monoenergetic neutron flux from moments
type: Item
instance of: scholarly article
title: Reconstruction of the time-dependent monoenergetic neutron flux from moments
zbMATH Open document ID: 0596.65098
DOI: 10.1016/0021-9991(85)90123-8
published in: Journal of Computational Physics
publication date: 1985-01-01T00:00:00Z
review text: The author is a good writer and an expert on solution of the time dependent neutron-photon transport equation. This article demonstrates the validity of moments construction algorithms away from wavefront flux discontinuity. He presents and verifies a new polynomial expansion of the solution of the time-dependent monoenergetic transport equation with anisotropic scattering in infinite slab, cylindrical, and spherical geometries. The solution is represented as a summation over moments expressed in closed form which allows accurate numerical evaluation. Accurate results are presented in graphical and tabular form.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 3960950
zbMATH Keywords: time dependent neutron-photon transport equation
zbMATH Keywords: polynomial expansion
zbMATH Keywords: monoenergetic transport equation
zbMATH Keywords: summation over moments
author: Barry D. Ganapol
MaRDI profile type: Publication
full work available at URL: 0021-9991(85)90123-8
OpenAlex ID: W2059884106
cites work: Use of numerically inverted Laplace transforms in time-dependent transport calculations
cites work: Existence and Uniqueness Theorems for the Neutron Transport Equation
cites work: Q5339472
description: scientific article; zbMATH DE number 3960950