Publications

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Journal Article
Barichello, LB, da Cunha RD.  2023.  On the solution of systems of linear equations associated to the ADO method in particle transport problems. Computational and Applied Mathematics. 42:200:212.
Zanette, R, Barichello LB, Petersen CZ.  2022.  A Nodal-iterative Technique for Criticality Calculations in Multigroup Neutron Diffusion Models.. Trends in Computational and Applied Mathematics. 23:315-334.
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.
Barichello, LB, Rui K, da Cunha RD.  2022.  On the application of the ADO method to the solution of two-dimensional radiative transfer problems in anisotropic scattering media.. International Journal of Thermal Sciences. 179:107685.
Moraes, LRC, Barichello LB, Barros, R. C, Vasques R.  2022.  On the Application of the Analytical Discrete Ordinates Method to the Solution of Nonclassical Transport Problems in Slab Geometry. Journal of Computational Physics. 455:110982.
Zanette, R, Barichello LB, Petersen CZ.  2022.  A study on the solution of the spatial kinetics equations in the neutron diffusion theory. Progress in Nuclear Energy. 145:104113.
Pazinatto, CB, Barichello LB, Orlande HRB.  2021.  A Baysesian Approach for Neutral Particles Source Estimation. Inverse Problems in Science and Engineering. 29:95-130.
Barichello, LB, Pazinzatto CB, Rui K.  2020.  An Analytical Discrete Ordinates Nodal Solution to the Two-Dimensional Adjoint Transport Problem. Annals of Nuclear Energy. 135:106959.
Zanette, R, Barichello LB, Petersen CZ.  2020.  Cálculo da Criticalidade pela Teoria da Difusão de Nêutrons: uma análise comparativa de aproximações da densidade de corrente. Revista Eletrônica da Matemática. 6:e4006.
Barichello, LB, Rodrigues P, Picoloto CB, Camargo M.  2020.  Formulações espectrais para solução de problemas de transporte de partículas. Ciência e Natura. 42:e39.
Rui, K, Barichello LB, da Cunha RD.  2020.  Recent Studies on Two-Dimensional Radiative Transfer Problems in Anisotropic Media. Journal of Computational and Theoretical Transport. 49:233-266.
Pazinatto, CB, Barichello LB.  2019.  On the use of the adjoint operator for source reconstruction in particle transport problems. Inverse Problems in Science and Engineering. 27:513–539., Number 4 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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Pazinatto, CB, Barichello LB.  2018.  Energy dependent source reconstruction via explicit formulations and adjoint particles flux. Journal of Computational and Theoretical Transport. 47:58-83. Abstract

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Azevedo, FS, Sauter E, Konzen PHA, Thompson M, Barichello LB.  2018.  Integral Formulation and Numerical Simulations for the Neutron Transport Equation in X-Y Geometry. Annals of Nuclear Energy. 112:735-747.
Barichello, LB, Rui K, Pazinatto CB.  2018.  Advances in the ADO-Nodal Method for the Solution of Particle Transport Problems in Two-Dimensional Media. PHYTRA4 – The Fourth International Conference on Physics and Technology of Reactors and Applications. Marrakech, Morocco, September 17-19. Abstract

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S. L. Cromianski, M. Camargo, RP, Barichello LB.  2018.  Avaliação de Propriedades Radiativas em Meios Homogêneos Unidimensionais: Reflectância e Transmitância. Tendências em Matemática Aplicada e Computacional. 18:531. Abstract

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Barichello, LB, Picoloto CB, da Cunha RD.  2017.  The ADO-nodal method for solving two-dimensional discrete ordinates transport problems. Annals of Nuclear Energy. 108:376–385. Abstract

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L. B. Barichello, PCB, Cunha DRD.  2017.  The ADO-Nodal Method for Solving Two-Dimensional Discrete Ordinates Transport Problems. Annals of Nuclear Energy. 108:376–385. 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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Pazinatto, CB, Barichello LB.  2017.  On the use of Analytical Techniques for Source Reconstruction Problems. International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, April 16–20, Jeju, Korea\!\!. Abstract

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Pazinatto, CB, Barros RC, Barichello LB.  2016.  Analytical adjoint discrete ordinates formulation for monoenergetic slab-geometry source-detector calculations. International Journal of Nuclear Energy Science and Technology. 10:107–19., Number 2 Abstract

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Barichello, LB, Tres A, Picoloto CB, Azmy Y.  2016.  Recent Studies of the Asymptotic Convergence of the Spatial Discretization for Two-Dimensional Discrete Ordinates Solutions. Journal of Computational and Theoretical Transport. 45:299–313., Number 4 Abstract

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L. B. Barichello, PCB, Azmy YY.  2016.  Recent Studies on the Asymptotic Convergence of the Spatial Discretization for Two-Dimensional Discrete Ordinates Solutions. Journal of Computational and Theoretical Transport. 45:299–313. Abstract

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