Publications

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A. Tres, C. B. Picoloto, DCRD, Barichello LB.  2014.  Explicit formulation of a nodal transport method for discrete ordinates calculations in two-dimensional fixed-source problems. Kerntechnik (1987). 79:155–162. 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.
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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.
Barichello, LB, Siewert C.  1999.  A discrete-ordinates solution for a polarization model with complete frequency redistribution. The Astrophysical Journal. 513:370–382., Number 1 Abstract

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Barichello, LB, Siewert CE.  1999.  A Discrete-Ordinates Solution for a Polarization Model with Complete Frequency Redistribution. The Astrophysical Journal. 513:370–382. 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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Barichello, LB, Siewert CE.  1998.  On the Equivalence Between the Discrete-Ordinates and the Spherical-Harmonics Methods in Radiative Transfer. Journal of Quantitative Spectroscopy and Radiative Transfer. 60:649–656. Abstract

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Barichello, LB, Garcia RDM, Siewert C.  2000.  Particular solutions for the discrete-ordinates method. Journal of Quantitative Spectroscopy & Radiative Transfer. 64:219–226., Number 3 Abstract

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Barichello, LB, Siewert CE.  1999.  A Discrete-Ordinates Solution for a Non-Grey Model with Complete Frequency Redistribution. Journal of Quantitative Spectroscopy and Radiative Transfer. 62:665–675. Abstract

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Barichello, LB, Vilhena MT.  1993.  A General Analytical Approach to the One group, One-Dimensional Transport Equation. Kerntechnik. 58:182–184. Abstract

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Barichello, LB, Rodrigues P, Picoloto CB, Camargo M.  2020.  Formulações espectrais para solução de problemas de transporte de partículas. Ciência e Natura. 42:e39.
Barichello, LB, Siewert CE.  2000.  The Temperature-Jump Problem in Rarefied Gas Dynamics. European Journal of Applied Mathematics. 11:353–364. Abstract

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Barichello, LB.  2011.  Explicit Formulations for Radiative Transfer Problems. In:Thermal Measurements and Inverse Techniques. CRS Press (2011). Edited By: H. R. B. Orlande, O. Fudym, D. Maillet, R. M. Cotta 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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Barichello, LB, Siewert CE.  1998.  The FN Method for Spectral-Line Formation by Completely Noncoherent Scattering. Journal of Quantitative Spectroscopy and Radiative Transfer. 60:261–276. Abstract

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Barichello, LB.  2011.  15, Explicit Formulations for Radiative Transfer Problems. Thermal Measurements and Inverse Techniques. (Orlande, R.B.H., Fudym, O., Maillet, D., Cotta, R.M., Eds.).:541–562., Boca Raton (FL): CRC Press Abstract

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Barichello, LB, Siewert C.  1999.  A discrete-ordinates solution for a non-grey model with complete frequency redistribution. Journal of Quantitative Spectroscopy & Radiative Transfer. 62:665–675., Number 6 Abstract

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Barichello, LB, Siewert CE.  1999.  A Discrete-Ordinates Solution for Poiseuille Flow in a Plane Channel. Zeitschrift für Angewandte Mathematik und Physik. 50:972–981. Abstract

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Barichello, LB, Siewert CE.  2000.  The Searchlight Problem for Radiative Transfer in a Finite Slab. Journal of Computational Physics. 157:707–726. Abstract

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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.
Barichello, LB, Siewert CE.  2011.  Some Evaluations of Basic Nodal-Like Schemes for a Solution of Classical Problems in Particle Transport Theory. Annals of Nuclear Energy. 38:2101–2104. Abstract

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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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Barichello, LB, Cabrera LC, Prolo Filho JF.  2011.  An Analytical Approach for a Nodal Scheme of Two-Dimensional Neutron Transport Problems. Annals of Nuclear Energy. 38:1310–1317., Number 6 Abstract

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Barichello, LB, Siewert CE.  1998.  On the Equivalence Between the Discrete-Ordinates and the Spherical-Harmonics Methods in Radiative Transfer. Nuclear Science and Engineering. 130:79–84. Abstract

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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.