Volume 1,
Issue 1, 1999,
18 pages
DOI: 10.1615/HybMethEng.v1.i1.10
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Marco T. Vilhena
Departamento de Engenharia Mecânica, Instituto de Matematica Aplicada, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil
Liliane Basso Barichello
Universidade Federal do Rio Grande do Sul
<b>Member of Editorial Board</b><br><strong>2008 - 2008</strong> Journal: TEMA. Trends in Computational and Applied Mathematics<br><b>Reviewer of Journals</b><br><strong>2006 - 2006</strong> Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering<br><strong>2006 - 2006</strong> Journal: Journal of Physics D. Applied Physics<br><strong>2005 - Present</strong> Journal: Physics of Fluids<br><strong>2005 - Present</strong> Journal: Journal of Computational and Applied Mathematics<br><strong>2005 - Present</strong> Journal: European Journal of Mechanics. B, Fluids<br><strong>2005 - 2005</strong> Journal: Transport Theory and Statistical Physics<br><strong>2004 - 2004</strong> Journal: Journal of Quantitative Spectroscopy and Radiative Transfer<br><strong>2004 - 2004</strong> Journal: Journal of Micromechanics and MicroEngineering<br><strong>2004 - 2004</strong> Journal: TEMA. Trends in Computational and Applied Mathematics<br><strong>2006 - 2006</strong> Journal: Physica. A<br><strong>2007 - 2007</strong> Journal: Journal of Physics. A, Mathematical and General<br><strong>2007 - 2007</strong> Journal: Journal of Physics. A, Mathematical and Theoretical<br><strong>2007 - 2007</strong> Journal: Microfluidics and nanofluidics<br><strong>2007 - Present</strong> Journal: Inverse Problems in Science and Engineering<br><strong>2008 - Present</strong> Journal: Computational and Applied Mathematics<br><strong>2009 - Present</strong> Journal: Progress in Nuclear Energy
ABSTRACT
The LTSN method, combined with the decomposition method, is used to develop a closed-form solution to one-dimensional linear and nonlinear discrete ordinates radiative transfer problems. The extension of this procedure to all one-dimensional approximations of the transport equations, displayed as a set of first-order linear differential equations, is also presented. Our attention is focused on the topics of derivation and review of some applications of the discussed method.