@article {Schramm_Ladeia_Fernandes_2024, title = {Solution of Linear Radiative Transfer Equation in Hollow Sphere by Diamond Difference Discrete Ordinates and Decomposition Methods}, journal = {Semina: Ci{\^e}ncias Exatas e Tecnol{\'o}gicas}, volume = {45}, year = {2024}, note = {n/a}, month = {Dec.}, pages = {e51961}, abstract = {n/a}, doi = {10.5433/1679-0375.2024.v45.51961}, url = {https://ojs.uel.br/revistas/uel/index.php/semexatas/article/view/51961}, author = {Schramm, Marcelo and Ladeia, Cibele and Fernandes, Julio Cesar} } @conference {10.1007/978-3-031-34099-4_15, title = {The Influence of the Refractive Index and Absorption Coefficients in the Solution of the Radiative Conductive Transfer Equation in Cartesian Geometry}, booktitle = {Integral Methods in Science and Engineering}, year = {2023}, note = {n/a}, pages = {179{\textendash}189}, publisher = {Springer International Publishing}, organization = {Springer International Publishing}, address = {Cham}, abstract = {n/a}, isbn = {978-3-031-34099-4}, author = {C. A. Ladeia and M. Schramm and J. C. L. Fernandes and Zanetti, H. R. and Albuquerque, A. D.}, editor = {Constanda, Christian and Bardo E. J. Bodmann and Harris, Paul J.} } @conference {10.1007/978-3-031-07171-3_12, title = {A Simple Numerical Scheme to Obtain Reflectivity and Transmissivity of an Isotropically Scattering Slab}, booktitle = {Integral Methods in Science and Engineering}, year = {2022}, note = {n/a}, pages = {169{\textendash}178}, publisher = {Springer International Publishing}, organization = {Springer International Publishing}, address = {Cham}, abstract = {

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.

}, isbn = {978-3-031-07171-3}, author = {C. A. Ladeia and Zanetti, H. R. and Gisch, D. L. and M. Schramm and J. C. L. Fernandes}, editor = {Constanda, Christian and Bardo E. J. Bodmann and Harris, Paul J.} } @article {Ladeia2020, title = {Radiative{\textendash}conductive transfer equation in spherical geometry: arithmetic stability for decomposition using the condition number criterion}, journal = {Journal of Engineering Mathematics}, volume = {123}, year = {2020}, note = {

n/a

}, pages = {149-163}, abstract = {

n/a

}, doi = {10.1007/s10665-020-10059-2}, author = {C. A. Ladeia and Bardo E. J. Bodmann and Marco T. Vilhena} } @article {Ladeia2020, title = {A simple numerical scheme to linear radiative transfer in hollow and solid spheres}, journal = {SEMINA. CI{\^E}NCIAS EXATAS E TECNOL{\'O}GICAS}, year = {2020}, note = {n/a}, abstract = {n/a}, doi = {10.5433/1679-0375.2020v41n1p21}, author = {C. A. Ladeia and M. Schramm and J. C. L. Fernandes} } @article {Ladeia2019, title = {On the Integro-Differential Radiative Conductive Transfer Equation: A Modified Decomposition Method}, journal = {Integral Methods in Science and Engineering}, year = {2019}, note = {n/a}, abstract = {n/a}, doi = {10.1007/978-3-030-16077-7_16}, author = {C. A. Ladeia and B. E. J. Bodmann and M. T. Vilhena} } @article {Ladeia2018118, title = {The Radiative Conductive Transfer Equation in Cylinder Geometry: Rocket Launch Exhaust Phenomena for the Alc{\^a}ntara Launch Center}, journal = {American Journal of Environmental Engineering}, volume = {8}, year = {2018}, note = {n/a}, pages = {118-127}, abstract = {n/a}, doi = {10.5923/j.ajee.20180804.06}, author = {C. A. Ladeia and B. E. J. Bodmann and M. T. Vilhena} } @article {Ladeia2018338, title = {The radiative conductive transfer equation in cylinder geometry: Semi-analytical solution and a point analysis of convergence}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {217}, year = {2018}, note = {n/a}, pages = {338{\textendash}352}, abstract = {n/a}, doi = {10.1016/j.jqsrt.2018.06.012}, author = {C. A. Ladeia and B. E. J. Bodmann and M. T. Vilhena} } @article {Ladeia2017, title = {On the Radiative Conductive Transfer Equation: A Heuristic Convergence Criterion by Stability Analysis}, journal = {Integral Methods in Science and Engineering}, volume = {1}, year = {2017}, note = {n/a}, abstract = {n/a}, doi = {10.1007/978-3-319-59384-5_15}, author = {C. A. Ladeia and J. C. L. Fernandes and B. E. J. Bodmann and M. T. Vilhena} }