Journal article
On a family of differential approximations of the radiative transfer equation
Journal of Mathematical Chemistry, Vol.50(4), pp.689-702
04/2012
DOI: 10.1007/s10910-011-9916-2
Abstract
The radiative transfer equation (RTE) arises in a variety of applications and is challenging to solve numerically due to its integro-differential form and high dimension. For highly forward-peaked media, it is even more difficult to solve RTE since accurate numerical solutions require a high resolution of the direction variable. For this reason, various approximations of RTE have been proposed in the literature. In this paper, we study a family of differential approximations of the RTE in three spatial variables. We explain the idea of constructing the differential approximations, and comment on the usefulness of the approximations.
Details
- Title: Subtitle
- On a family of differential approximations of the radiative transfer equation
- Creators
- Weimin Han - Department of Mathematics and Program in Applied Mathematical and Computational Sciences University of Iowa Iowa City IA 52242 USAJoseph Eichholz - Department of Mathematics Rose-Hulman Institute of Technology Terre Haute IN 47803 USAGe Wang - Division of Biomedical Imaging Virginia Tech–Wake Forest University School of Biomedical Engineering and Sciences, Virginia Polytechnic Institute and State University Blacksburg VA 24061 USA
- Resource Type
- Journal article
- Publication Details
- Journal of Mathematical Chemistry, Vol.50(4), pp.689-702
- Publisher
- Springer Netherlands; Dordrecht
- DOI
- 10.1007/s10910-011-9916-2
- ISSN
- 0259-9791
- eISSN
- 1572-8897
- Language
- English
- Date published
- 04/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9983985981902771
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