Publications

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2018
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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2016
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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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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2015
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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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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2014
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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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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Prolo Filho, JF, Barichello LB.  2014.  General expressions for auxiliary equations of a nodal formulation for two-dimensional transport calculations. Journal of Computational and Theoretical Transport. 43:352–373., Number 1-7: Taylor & Francis Abstract

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2011
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.  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, 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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L. B. Barichello, CLC, Filho PJF.  2011.  An Analytical Approach for a Nodal Scheme of Two-Dimensional Neutron Transport Problems. Annals of Nuclear Energy. 38:1310–1370. Abstract

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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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2010
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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Scherer, CS, Barichello LB.  2010.  An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics. III. Evaporation and condensation problems. Zeitschrift für Angewandte Mathematik und Physik. 61:95–117. Abstract

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