Publications

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2023
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.
2022
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.
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
Pazinatto, CB, Barichello LB.  2021.  TWO-DIMENSIONAL SOURCE ESTIMATION PROBLEMS USING AN ADO- NODAL SOLUTION TO THE ADJOINT TRANSPORT EQUATION. International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering. :927-936., Raleigh, NC, USA
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.
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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2018
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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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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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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