Publications

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2015
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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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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2016
P. R. Fortes, M. Camargo, CSR, Barichello LB.  2016.  Avaliação de Propriedades de Reflectancia e Transmitancia: Um Problema de Transferencia Radiativa em Meio Homogeneo Unidimensional. XXXVI CNMAC. 5, Gramado, RS, Brazil 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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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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2017
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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2018
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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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.
Moura, FW, Picoloto CB, da Cunha RD, Barichello LB.  2018.  On the Influence of Quadrature Schemes for the Iterative Solution of Linear Systems in Explicit Two-Dimensional Discrete Ordinates Nodal Formulations, April 21-26. PHYSOR 2018, Cancun, Mexico. :123-132. Abstract

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2019
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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2020
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.
2021
Pazinatto, CB, Barichello LB, Orlande HRB.  2021.  A Baysesian Approach for Neutral Particles Source Estimation. Inverse Problems in Science and Engineering. 29:95-130.
Groff, F, Barichello LB, Sauter E.  2021.  A Concise and Accurate Solution for Radiative Transfer Problems Relevant in Hyperthermia Models. International Symposium on Advances in Computational Heat Transfer. :445-460., Rio de Janeiro, RJ, Brasil
Rui, K, Barichello LB, da Cunha RD.  2021.  ON THE SOLUTION OF SYSTEMS OF LINEAR EQUATIONS ARISING WITHIN THE ADO METHOD FOR SOLVING TWO-DIMENSIONAL PROBLEMS IN ANISOTROPIC SCATTERING MEDIA. International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering. :1174-1183., Raleigh, NC, USA