Numerical analysis of the energy-dependent radiative transfer equation

Kenneth Czuprynski; Joseph Eichholz; Weimin Han

doi:10.1093/imanum/dry025

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Numerical analysis of the energy-dependent radiative transfer equation

Journal article

Peer reviewed

Numerical analysis of the energy-dependent radiative transfer equation

Kenneth Czuprynski, Joseph Eichholz and Weimin Han

IMA journal of numerical analysis, Vol.39(3), pp.1529-1562

07/01/2019

DOI: 10.1093/imanum/dry025

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Abstract

The energy-dependent form of the radiative transfer equation (RTE) is important in a variety of applications. In a previous paper the well-posedness and an energy discretization for the energy-dependent RTE were investigated. In this paper the fully discrete scheme is introduced and analysed. Optimal-order error estimates and a well-posedness analysis of the discrete system are provided. The theoretical results are validated through numerical examples.

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

Details

Title: Subtitle: Numerical analysis of the energy-dependent radiative transfer equation
Creators: Kenneth Czuprynski - University of Iowa
Joseph Eichholz - Rose–Hulman Institute of Technology
Weimin Han - University of Iowa
Resource Type: Journal article
Publication Details: IMA journal of numerical analysis, Vol.39(3), pp.1529-1562
Publisher: OXFORD UNIV PRESS
DOI: 10.1093/imanum/dry025
ISSN: 0272-4979
eISSN: 1464-3642
Number of pages: 34
Language: English
Date published: 07/01/2019
Academic Unit: Mathematics
Record Identifier: 9984242355602771

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