Publications

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L. B. Barichello, RP, Siewert CE.  2004.  On Computing the Chapman-Enskog and Burnett Functions. Journal of Quantitative Spectroscopy and Radiative Transfer. 86:109–114. Abstract

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L. B. Barichello, RP, Siewert CE.  2002.  An Integral Equation Basic to the BGK Model for Flow in a Cylindrical Tube. Zeitschrift für Angewandte Mathematik und Physik. 53:769–781. Abstract

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L. B. Barichello, GRDM, Siewert CE.  1997.  On Inverse Boundary.Condition Problems in Radiative Transfer. Journal of Quantitative Spectroscopy and Radiative Transfer. 57:405–410. 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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M. T. Vilhena, L. B. Barichello, ZSCJRCF, Pazos RP.  1999.  Solutions to the Multidimensional Linear Transport Equation by the Spectral Method. Progress in Nuclear Energy. 35:275–291. Abstract

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M. T. Vilhena, SCF, Barichello LB.  1995.  A Particular Solution for the SN Radiative Transfer Problems. Journal of Quantitative Spectroscopy and Radiative Transfer. 53:467–469. Abstract

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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.
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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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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P. Rodrigues, KCH, Barichello LB.  2009.  A Spectral Method for Rarefied Gas Dynamics Problems in Cylindrical Geometry. International Journal of Pure and Applied Mathematics. 51:181–187. Abstract

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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
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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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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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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Pazinatto, CB, Barichello LB, Orlande HRB.  2021.  A Baysesian Approach for Neutral Particles Source Estimation. Inverse Problems in Science and Engineering. 29:95-130.
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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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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R. L. Thum, L. B. Barichello, VMT, Cotta RM.  2001.  An Analytical Approach to the Solution of Multidimensional Drying Problems. Hybrid Methods in Engineering. 2&3 Abstract

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Rodrigues, P, Barichello LB.  2004.  An Integral Equation Approach to Radiative Transfer in Cylindrical Media. Journal of Quantitative Spectroscopy and Radiative Transfer. 83:765–776. Abstract

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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.
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
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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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Scherer, CS, Barichello LB.  2009.  A Heat Transfer Problem in Rarefied Gas Dynamics. Heat Transfer Engineering. 30:282–291. Abstract

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Scherer, CS, Prolo Filho JF, Barichello LB.  2009.  An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics.I. Flow problems. Zeitschrift f. 60:70–115., Number 1 Abstract

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