<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Schramm, Marcelo</style></author><author><style face="normal" font="default" size="100%">Ladeia, Cibele</style></author><author><style face="normal" font="default" size="100%">Fernandes, Julio Cesar</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Solution of Linear Radiative Transfer Equation in Hollow Sphere by Diamond Difference Discrete Ordinates and Decomposition Methods</style></title><secondary-title><style face="normal" font="default" size="100%">Semina: Ciências Exatas e Tecnológicas</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2024</style></year><pub-dates><date><style  face="normal" font="default" size="100%">Dec.</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://ojs.uel.br/revistas/uel/index.php/semexatas/article/view/51961</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">45</style></volume><pages><style face="normal" font="default" size="100%">e51961</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">n/a</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. A. Ladeia</style></author><author><style face="normal" font="default" size="100%">M. Schramm</style></author><author><style face="normal" font="default" size="100%">J. C. L. Fernandes</style></author><author><style face="normal" font="default" size="100%">Zanetti, H. R.</style></author><author><style face="normal" font="default" size="100%">Albuquerque, A. D.</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Constanda, Christian</style></author><author><style face="normal" font="default" size="100%">Bardo E. J. Bodmann</style></author><author><style face="normal" font="default" size="100%">Harris, Paul J.</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">The Influence of the Refractive Index and Absorption Coefficients in the Solution of the Radiative Conductive Transfer Equation in Cartesian Geometry</style></title><secondary-title><style face="normal" font="default" size="100%">Integral Methods in Science and Engineering</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2023</style></year></dates><publisher><style face="normal" font="default" size="100%">Springer International Publishing</style></publisher><pub-location><style face="normal" font="default" size="100%">Cham</style></pub-location><pages><style face="normal" font="default" size="100%">179–189</style></pages><isbn><style face="normal" font="default" size="100%">978-3-031-34099-4</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">n/a</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>47</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. A. Ladeia</style></author><author><style face="normal" font="default" size="100%">Zanetti, H. R.</style></author><author><style face="normal" font="default" size="100%">Gisch, D. L.</style></author><author><style face="normal" font="default" size="100%">M. Schramm</style></author><author><style face="normal" font="default" size="100%">J. C. L. Fernandes</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Constanda, Christian</style></author><author><style face="normal" font="default" size="100%">Bardo E. J. Bodmann</style></author><author><style face="normal" font="default" size="100%">Harris, Paul J.</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">A Simple Numerical Scheme to Obtain Reflectivity and Transmissivity of an Isotropically Scattering Slab</style></title><secondary-title><style face="normal" font="default" size="100%">Integral Methods in Science and Engineering</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2022</style></year></dates><publisher><style face="normal" font="default" size="100%">Springer International Publishing</style></publisher><pub-location><style face="normal" font="default" size="100%">Cham</style></pub-location><pages><style face="normal" font="default" size="100%">169–178</style></pages><isbn><style face="normal" font="default" size="100%">978-3-031-07171-3</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this chapter, we consider the linear radiative transfer model for a passive medium with no intrinsic thermal contributions. The domain is a one-dimensional slab for which reflectivity and transmissivity are determined from the total in- and outgoing radiative fluxes across the boundaries. Further, we assume isotropic scattering in the medium and no emissivity and reflectivity on the boundaries but thermal radiation from the latter and an isotropic incoming radiation from an external source. Our developments are based on the discrete ordinate method in the angular variable and a modified version of the finite volume method in the spatial variable. The solution is obtained by an iterative method, and we present a necessary condition for its convergence based on norm operations.&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. A. Ladeia</style></author><author><style face="normal" font="default" size="100%">Bardo E. J. Bodmann</style></author><author><style face="normal" font="default" size="100%">Marco T. Vilhena</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Radiative–conductive transfer equation in spherical geometry: arithmetic stability for decomposition using the condition number criterion</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Engineering Mathematics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2020</style></year></dates><volume><style face="normal" font="default" size="100%">123</style></volume><pages><style face="normal" font="default" size="100%">149-163</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></abstract><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. A. Ladeia</style></author><author><style face="normal" font="default" size="100%">M. Schramm</style></author><author><style face="normal" font="default" size="100%">J. C. L. Fernandes</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A simple numerical scheme to linear radiative transfer in hollow and solid spheres</style></title><secondary-title><style face="normal" font="default" size="100%">SEMINA. CIÊNCIAS EXATAS E TECNOLÓGICAS</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2020</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">n/a</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. A. Ladeia</style></author><author><style face="normal" font="default" size="100%">B. E. J. Bodmann</style></author><author><style face="normal" font="default" size="100%">M. T. Vilhena</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the Integro-Differential Radiative Conductive Transfer Equation: A Modified Decomposition Method</style></title><secondary-title><style face="normal" font="default" size="100%">Integral Methods in Science and Engineering</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2019</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">n/a</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. A. Ladeia</style></author><author><style face="normal" font="default" size="100%">B. E. J. Bodmann</style></author><author><style face="normal" font="default" size="100%">M. T. Vilhena</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The Radiative Conductive Transfer Equation in Cylinder Geometry: Rocket Launch Exhaust Phenomena for the Alcântara Launch Center</style></title><secondary-title><style face="normal" font="default" size="100%">American Journal of Environmental Engineering</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><volume><style face="normal" font="default" size="100%">8</style></volume><pages><style face="normal" font="default" size="100%">118-127</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">n/a</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. A. Ladeia</style></author><author><style face="normal" font="default" size="100%">B. E. J. Bodmann</style></author><author><style face="normal" font="default" size="100%">M. T. Vilhena</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">The radiative conductive transfer equation in cylinder geometry: Semi-analytical solution and a point analysis of convergence</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Quantitative Spectroscopy and Radiative Transfer</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><volume><style face="normal" font="default" size="100%">217</style></volume><pages><style face="normal" font="default" size="100%">338–352</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">n/a</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">C. A. Ladeia</style></author><author><style face="normal" font="default" size="100%">J. C. L. Fernandes</style></author><author><style face="normal" font="default" size="100%">B. E. J. Bodmann</style></author><author><style face="normal" font="default" size="100%">M. T. Vilhena</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">On the Radiative Conductive Transfer Equation: A Heuristic Convergence Criterion by Stability Analysis</style></title><secondary-title><style face="normal" font="default" size="100%">Integral Methods in Science and Engineering</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2017</style></year></dates><volume><style face="normal" font="default" size="100%">1</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">n/a</style></abstract><notes><style face="normal" font="default" size="100%">n/a</style></notes></record></records></xml>