Book chapter
Theory of Differential Approximations of Radiative Transfer Equation
Advances in Applied Mathematics and Approximation Theory, pp.121-148
Springer Proceedings in Mathematics & Statistics, Springer New York
03/19/2013
DOI: 10.1007/978-1-4614-6393-1_8
Abstract
The radiative transfer equation (RTE) arises in a variety of applications. The equation is challenging to solve numerically for a couple of reasons: high dimensionality, integro-differential form, highly forward-peaked scattering in application. In the literature, various approximations of RTE have been proposed in the literature. In an earlier publication, we explored a family of differential approximations to RTE, to be called RT/DA equations. In this paper, we study the RT/DA equations and investigate numerically the closeness of solutions of the RT/DA equations to that of the RTE.
Details
- Title: Subtitle
- Theory of Differential Approximations of Radiative Transfer Equation
- Creators
- Weimin Han - University of IowaJoseph A Eichholz - Rose–Hulman Institute of TechnologyQiwei Sheng - University of Iowa
- Resource Type
- Book chapter
- Publication Details
- Advances in Applied Mathematics and Approximation Theory, pp.121-148
- Publisher
- Springer New York; New York, NY
- Series
- Springer Proceedings in Mathematics & Statistics
- DOI
- 10.1007/978-1-4614-6393-1_8
- eISSN
- 2194-1017
- ISSN
- 2194-1009
- Language
- English
- Date published
- 03/19/2013
- Academic Unit
- Mathematics
- Record Identifier
- 9984241153702771
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