Publications

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C. B. Picoloto, A. Tres, DCRD, Barichello LB.  2015.  Closed-form solutions for nodal formulations of two dimensional transport problems in heterogeneous media. Annals of Nuclear Energy. 86:65–71. Abstract

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C. Kamphorst, RP, Barichello LB.  2014.  A Closed-Form Solution of a Kinetic Integral Equation for Rarefied Gas Flow in a Cylindrical Duct. Applied Mathematics. 05:1516–1527. Abstract

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C. S. Scherer, PFJF, Barichello LB.  2010.  An Analytical Approach to the Unified Solution of Kinetic Equations in Rarefied Gas Dynamics. II. Heat Transfer Problems. Zeitschrift für Angewandte Mathematik und Physik. 61:95–117. Abstract

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C. S. Scherer, PFJF, Barichello LB.  2009.  An Analytical Approach to the Unified Solution of Kinetic Equations in Rarefied Gas Dynamics. I. Flow Problems. Zeitschrift für Angewandte Mathematik und Physik. 60:70–115. Abstract

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C.B. Picoloto, R. D. Da Cunha, BRC, Barichello LB.  2017.  An analytical approach for solving a nodal formulation of two-dimensional fixed-source neutron transport problems with linearly anisotropic scattering. Progress in Nuclear Energy. 98:193–201. Abstract

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Cabrera, LC, Barichello LB.  2006.  Unified Solutions to Some Classical Problems in Rarefied Gas Dynamics Based on the One-Dimensional Linearized S-model Equations. Zeitschrift für Angewandte Mathematik und Physik. 57:285–312. Abstract

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Camargo, M, Barichello LB.  2004.  Unified Approach for Variable Collision Frequency Models in Rarefied Gas Dynamics. Transport Theory and Sthatistical Physics. 33:227–260. Abstract

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Cromianski, SR, Rui K, Barichello LB.  2019.  A study on boundary fluxes approximation in explicit nodal formulations for the solution of the two-dimensional neutron transport equation. Progress in Nuclear Energy. 110:354–363. Abstract

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da Cunha, RD, Tres A, Barichello LB.  2015.  A Study on the Parallel, Iterative Solution of Systems of Linear Equations Appearing on Analytical Nodal Schemes for Two-Dimensional Cartesian Geometry Discrete Ordinates Problems, April 19-23. International Conference on Mathematics and Computation (M&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method, Nashville, Tennessee. Abstract

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da Cunha, RD, Barichello LB, Neto AJ, Zanette R.  2022.  On Computing the Effective Multiplication Factor Using the ADO Method. Annals of Nuclear Energy. 167:108743.