@article {9158, title = {An Analytical Discrete Ordinates Approach for Estimating the Optical Coefficients of the Radiative Transfer Equation in the Complex- Frequency Domain}, journal = {Journal of Computational and Theoretical Transport}, year = {2026}, author = {Groff, F. and Barichello, L.B. and Arridge, S.} } @article {9155, title = {An analytical discrete ordinates approach for the calculation of multiplicity moments in nuclear safeguards}, journal = {Progress in Nuclear Energy}, volume = {197}, year = {2026}, pages = {106407}, author = {Barichello, L.B. and Antunes, P. B. A. and P{\'a}zsit, I.} } @article {9156, title = {An Analytical Discrete Ordinates Solution for the Two-Dimensional Transport Equation with Exact Representation of the Scattering Law}, journal = {Nuclear Science and Engineering}, volume = {200}, year = {2026}, pages = {821-846}, author = {Barichello, L.B. and R.D da Cunha and Mentges, M.} } @article {9157, title = {Calculation of Multiplicity Moments in Nuclear Safeguards via Explicit Eigenfunctions}, journal = {Nuclear Science and Engineering}, year = {2026}, author = {Antunes, P. A. B. and Barichello, L.B. and P{\'a}zsit, I.} } @article {9154, title = {On modeling and solving the Boltzmann equation}, journal = {Communications in Mathematics}, volume = {34}, year = {2026}, pages = {Paper no.5}, author = {Barichello, L.B.} } @article {9153, title = {Calculation of the multiplicity moments in nuclear safeguards with forward transport theory}, journal = {Annals of Nuclear Energy}, volume = {212}, year = {2025}, pages = {111046}, author = {Barichello, L.B. and P{\'a}zsit, I.} } @article {9152, title = {A numerical validation between the neutron transport and diffusion theories for a spatial kinetics problem}, journal = {Brazilian Journal of Radiation Sciences}, volume = {12}, year = {2024}, pages = {e-2361}, author = {R. Zanette and Barichello, L.B. and Petersen, C.Z.} } @article {8419, title = {On the solution of systems of linear equations associated to the ADO method in particle transport problems}, journal = {Computational and Applied Mathematics}, volume = {42}, year = {2023}, pages = {200:212}, author = {Barichello, L.B. and R.D da Cunha} } @article {8040, title = {A Nodal-iterative Technique for Criticality Calculations in Multigroup Neutron Diffusion Models.}, journal = {Trends in Computational and Applied Mathematics}, volume = {23}, year = {2022}, pages = {315-334}, author = {R. Zanette and Barichello, L.B. and Petersen, C.Z.} } @article {7654, title = {On Computing the Effective Multiplication Factor Using the ADO Method}, journal = {Annals of Nuclear Energy}, volume = {167}, year = {2022}, pages = {108743}, author = {R.D da Cunha and Barichello, L.B. and J. Andrade Neto and R. Zanette} } @article {8039, title = {On the application of the ADO method to the solution of two-dimensional radiative transfer problems in anisotropic scattering media.}, journal = {International Journal of Thermal Sciences}, volume = {179}, year = {2022}, pages = {107685}, author = {Barichello, L.B. and Rui, K. and R.D da Cunha} } @article {8037, title = {On the Application of the Analytical Discrete Ordinates Method to the Solution of Nonclassical Transport Problems in Slab Geometry}, journal = {Journal of Computational Physics}, volume = {455}, year = {2022}, pages = {110982}, author = {Moraes, L. R. C and Barichello, L.B. and Barros, R. C, and Vasques, R.} } @article {8038, title = {A study on the solution of the spatial kinetics equations in the neutron diffusion theory}, journal = {Progress in Nuclear Energy}, volume = {145}, year = {2022}, pages = {104113}, author = {R. Zanette and Barichello, L.B. and Petersen, C.Z.} } @article {7653, title = {A Baysesian Approach for Neutral Particles Source Estimation}, journal = {Inverse Problems in Science and Engineering}, volume = {29}, year = {2021}, pages = {95-130}, author = {Pazinatto, C. B. and Barichello, L.B. and H. R. B. Orlande} } @proceedings {8045, title = {A Concise and Accurate Solution for Radiative Transfer Problems Relevant in Hyperthermia Models}, journal = {International Symposium on Advances in Computational Heat Transfer}, year = {2021}, pages = {445-460}, address = {Rio de Janeiro, RJ, Brasil}, author = {Groff, F. and Barichello, L.B. and E. Sauter} } @proceedings {8044, title = {ON THE SOLUTION OF SYSTEMS OF LINEAR EQUATIONS ARISING WITHIN THE ADO METHOD FOR SOLVING TWO-DIMENSIONAL PROBLEMS IN ANISOTROPIC SCATTERING MEDIA}, journal = {International Conference on Mathematics \& Computational Methods Applied to Nuclear Science \& Engineering}, year = {2021}, pages = {1174-1183}, address = {Raleigh, NC, USA}, author = {Rui, K. and Barichello, L.B. and R.D da Cunha} } @proceedings {8043, title = {TWO-DIMENSIONAL SOURCE ESTIMATION PROBLEMS USING AN ADO- NODAL SOLUTION TO THE ADJOINT TRANSPORT EQUATION}, journal = {International Conference on Mathematics \& Computational Methods Applied to Nuclear Science \& Engineering}, year = {2021}, pages = {927-936}, address = {Raleigh, NC, USA}, author = {Pazinatto, C. B. and Barichello, L.B.} } @article {7651, title = {An Analytical Discrete Ordinates Nodal Solution to the Two-Dimensional Adjoint Transport Problem}, journal = {Annals of Nuclear Energy}, volume = {135}, year = {2020}, pages = {106959}, author = {Barichello, L.B. and C. B. Pazinzatto and Rui, K.} } @article {8042, title = {C{\'a}lculo da Criticalidade pela Teoria da Difus{\~a}o de N{\^e}utrons: uma an{\'a}lise comparativa de aproxima{\c c}{\~o}es da densidade de corrente}, journal = {Revista Eletr{\^o}nica da Matem{\'a}tica}, volume = {6}, year = {2020}, pages = {e4006}, author = {R. Zanette and Barichello, L.B. and Petersen, C.Z.} } @article {8041, title = {Formula{\c c}{\~o}es espectrais para solu{\c c}{\~a}o de problemas de transporte de part{\'\i}culas}, journal = {Ci{\^e}ncia e Natura}, volume = {42}, year = {2020}, pages = {e39}, author = {Barichello, L.B. and P. Rodrigues and Picoloto, C.B. and M. Camargo} } @article {7652, title = {Recent Studies on Two-Dimensional Radiative Transfer Problems in Anisotropic Media}, journal = {Journal of Computational and Theoretical Transport}, volume = {49}, year = {2020}, pages = {233-266}, author = {Rui, K. and Barichello, L.B. and R.D da Cunha} } @article {gipe2018, title = {On the use of the adjoint operator for source reconstruction in particle transport problems}, journal = {Inverse Problems in Science and Engineering}, volume = {27}, number = {4}, year = {2019}, note = {n/a}, pages = {513{\textendash}539}, abstract = {n/a}, author = {Pazinatto, C. B. and Barichello, L.B.} } @article {Cromianski2019, title = {A study on boundary fluxes approximation in explicit nodal formulations for the solution of the two-dimensional neutron transport equation}, journal = {Progress in Nuclear Energy}, volume = {110}, year = {2019}, note = {n/a}, pages = {354{\textendash}363}, abstract = {n/a}, author = {Cromianski, S. R. and Rui, K. and Barichello, L.B.} } @conference {physor2018, title = {On the Influence of Quadrature Schemes for the Iterative Solution of Linear Systems in Explicit Two-Dimensional Discrete Ordinates Nodal Formulations}, booktitle = {PHYSOR 2018, Cancun, Mexico}, year = {2018}, note = {n/a}, month = {April 21-26}, pages = {123-132}, abstract = {n/a}, author = {Moura, F. W. and Picoloto, C.B. and R.D da Cunha and Barichello, L.B.} } @article {jctt-inv, title = {Energy dependent source reconstruction via explicit formulations and adjoint particles flux}, journal = {Journal of Computational and Theoretical Transport}, volume = {47}, year = {2018}, note = {

n/a

}, pages = {58-83}, abstract = {

n/a

}, author = {Pazinatto, C. B. and Barichello, L.B.} } @article {7650, title = {Integral Formulation and Numerical Simulations for the Neutron Transport Equation in X-Y Geometry}, journal = {Annals of Nuclear Energy}, volume = {112}, year = {2018}, pages = {735-747}, author = {F. S. Azevedo and E. Sauter and P. H. A. Konzen and M. Thompson and Barichello, L.B.} } @article {Barichello2018, title = {Advances in the ADO-Nodal Method for the Solution of Particle Transport Problems in Two-Dimensional Media}, journal = {PHYTRA4 {\textendash} The Fourth International Conference on Physics and Technology of Reactors and Applications. Marrakech, Morocco, September 17-19}, year = {2018}, note = {n/a}, abstract = {n/a}, author = {Barichello, L.B. and Rui, K. and Pazinatto, C. B.} } @article {barichello2018, title = {Avalia{\c c}{\~a}o de Propriedades Radiativas em Meios Homog{\^e}neos Unidimensionais: Reflect{\^a}ncia e Transmit{\^a}ncia}, journal = {Tend{\^e}ncias em Matem{\'a}tica Aplicada e Computacional}, volume = {18}, year = {2018}, note = {n/a}, pages = {531}, abstract = {n/a}, author = {S. L. Cromianski, M. Camargo, P. Rodrigues and Barichello, L.B.} } @article {Barichello2017, title = {The ADO-nodal method for solving two-dimensional discrete ordinates transport problems}, journal = {Annals of Nuclear Energy}, volume = {108}, year = {2017}, note = {n/a}, pages = {376{\textendash}385}, abstract = {n/a}, author = {Barichello, L.B. and Picoloto, C.B. and R.D da Cunha} } @article {barichello2017b, title = {The ADO-Nodal Method for Solving Two-Dimensional Discrete Ordinates Transport Problems}, journal = {Annals of Nuclear Energy}, volume = {108}, year = {2017}, note = {n/a}, pages = {376{\textendash}385}, abstract = {n/a}, author = {L. B. Barichello, C.B. Picoloto and R. D. Da Cunha} } @article {barichello2017a, title = {An analytical approach for solving a nodal formulation of two-dimensional fixed-source neutron transport problems with linearly anisotropic scattering}, journal = {Progress in Nuclear Energy}, volume = {98}, year = {2017}, note = {n/a}, pages = {193{\textendash}201}, abstract = {n/a}, author = {C.B. Picoloto, R. D. Da Cunha, R. C. Barros and Barichello, L.B.} } @article {Pazinatto2017, title = {On the use of Analytical Techniques for Source Reconstruction Problems}, journal = {International Conference on Mathematics \& Computational Methods Applied to Nuclear Science \& Engineering, April 16{\textendash}20, Jeju, Korea\!\!}, year = {2017}, note = {n/a}, abstract = {n/a}, author = {Pazinatto, C. B. and Barichello, L.B.} } @article {Pazinatto2016, title = {Analytical adjoint discrete ordinates formulation for monoenergetic slab-geometry source-detector calculations}, journal = {International Journal of Nuclear Energy Science and Technology}, volume = {10}, number = {2}, year = {2016}, note = {

n/a

}, pages = {107{\textendash}19}, abstract = {

n/a

}, author = {Pazinatto, C. B. and Barros, R.C. and Barichello, L.B.} } @conference {xxxvicnmac2, title = {Avalia{\c c}{\~a}o de Propriedades de Reflectancia e Transmitancia: Um Problema de Transferencia Radiativa em Meio Homogeneo Unidimensional}, booktitle = {XXXVI CNMAC}, volume = {5}, year = {2016}, note = {n/a}, address = {Gramado, RS, Brazil}, abstract = {n/a}, author = {P. R. Fortes, M. Camargo, S. R. Cromianski and Barichello, L.B.} } @article {Barichello2016, title = {Recent Studies of the Asymptotic Convergence of the Spatial Discretization for Two-Dimensional Discrete Ordinates Solutions}, journal = {Journal of Computational and Theoretical Transport}, volume = {45}, number = {4}, year = {2016}, note = {n/a}, pages = {299{\textendash}313}, abstract = {n/a}, author = {Barichello, L.B. and Tres, A. and Picoloto, C.B. and Azmy, Y.} } @article {barichello2016b, title = {Recent Studies on the Asymptotic Convergence of the Spatial Discretization for Two-Dimensional Discrete Ordinates Solutions}, journal = {Journal of Computational and Theoretical Transport}, volume = {45}, year = {2016}, note = {n/a}, pages = {299{\textendash}313}, abstract = {n/a}, author = {L. B. Barichello, C.B. Picoloto and Azmy, Y.Y.} } @conference {xxxvicnmac1, title = {Solu{\c c}{\~a}o Particular via Fun{\c c}{\~a}o de Green para a Adjunta da Equa{\c c}{\~a}o de Transporte Unidimensional em Ordenadas Discretas: uma Aplica{\c c}{\~a}o em Problemas Inversos}, booktitle = {XXXVI CNMAC}, volume = {5}, year = {2016}, note = {n/a}, address = {Gramado, RS, Brazil}, abstract = {n/a}, author = {Pazinatto, C. B. and Barichello, L.B.} } @conference {mc2015, title = {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}, booktitle = {International Conference on Mathematics and Computation (M\&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method, Nashville, Tennessee}, year = {2015}, note = {n/a}, month = {April 19-23}, abstract = {n/a}, author = {R.D da Cunha and Tres, A. and Barichello, L.B.} } @article {barichello2015a, title = {An Analytical Approach for a Nodal Formulation of a Two-Dimensional Fixed-Source Neutron Transport Problem in Heterogeneous Medium}, journal = {Kerntechnik (1987)}, volume = {80}, year = {2015}, note = {n/a}, pages = {167{\textendash}173}, abstract = {n/a}, author = {L. B. Barichello, C.B. Picoloto and Tres, A.} } @article {barichello2015b, title = {Closed-form solutions for nodal formulations of two dimensional transport problems in heterogeneous media}, journal = {Annals of Nuclear Energy}, volume = {86}, year = {2015}, note = {n/a}, pages = {65{\textendash}71}, abstract = {n/a}, author = {C. B. Picoloto, A. Tres, R. D. Da Cunha and Barichello, L.B.} } @article {barichello2014b, title = {A Closed-Form Solution of a Kinetic Integral Equation for Rarefied Gas Flow in a Cylindrical Duct}, journal = {Applied Mathematics}, volume = {05}, year = {2014}, note = {n/a}, pages = {1516{\textendash}1527}, abstract = {n/a}, author = {C. Kamphorst, P. Rodrigues and Barichello, L.B.} } @article {barichello2014a, title = {Explicit formulation of a nodal transport method for discrete ordinates calculations in two-dimensional fixed-source problems}, journal = {Kerntechnik (1987)}, volume = {79}, year = {2014}, note = {n/a}, pages = {155{\textendash}162}, abstract = {n/a}, author = {A. Tres, C. B. Picoloto, R. D. Da Cunha and Barichello, L.B.} } @article {prolo2014general, title = {General expressions for auxiliary equations of a nodal formulation for two-dimensional transport calculations}, journal = {Journal of Computational and Theoretical Transport}, volume = {43}, number = {1-7}, year = {2014}, note = {n/a}, pages = {352{\textendash}373}, publisher = {Taylor \& Francis}, abstract = {n/a}, author = {Prolo Filho, J.F. and Barichello, L.B.} } @inbook {barichello2011a, title = {Explicit Formulations for Radiative Transfer Problems}, booktitle = {In:Thermal Measurements and Inverse Techniques}, volume = {CRS Press (2011). Edited By: H. R. B. Orlande, O. Fudym, D. Maillet, R. M. Cotta}, year = {2011}, note = {

n/a

}, abstract = {

n/a

}, author = {Barichello, L.B.} } @conference {Barichello2011, title = {15, Explicit Formulations for Radiative Transfer Problems}, booktitle = {Thermal Measurements and Inverse Techniques}, year = {2011}, note = {n/a}, pages = {541{\textendash}562}, publisher = {CRC Press}, organization = {CRC Press}, address = {Boca Raton (FL)}, abstract = {n/a}, author = {Barichello, L.B.}, editor = {Orlande, R.B.H. and Fudym, O. and Maillet, D. and Cotta, R.M.} } @article {Barichello2011b, title = {An Analytical Approach for a Nodal Scheme of Two-Dimensional Neutron Transport Problems}, journal = {Annals of Nuclear Energy}, volume = {38}, number = {6}, year = {2011}, note = {n/a}, pages = {1310{\textendash}1317}, abstract = {n/a}, author = {Barichello, L.B. and Cabrera, L.C. and Prolo Filho, J.F.} } @article {barichello2011c, title = {An Analytical Approach for a Nodal Scheme of Two-Dimensional Neutron Transport Problems}, journal = {Annals of Nuclear Energy}, volume = {38}, year = {2011}, note = {n/a}, pages = {1310{\textendash}1370}, abstract = {n/a}, author = {L. B. Barichello, L. C. Cabrera and J. F. Prolo Filho} } @article {barichello2011b, title = {Some Evaluations of Basic Nodal-Like Schemes for a Solution of Classical Problems in Particle Transport Theory}, journal = {Annals of Nuclear Energy}, volume = {38}, year = {2011}, note = {n/a}, pages = {2101{\textendash}2104}, abstract = {n/a}, author = {Barichello, L.B. and C. E. Siewert} } @article {barichello2010b, title = {An Analytical Approach to the Unified Solution of Kinetic Equations in Rarefied Gas Dynamics. II. Heat Transfer Problems}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Physik}, volume = {61}, year = {2010}, note = {n/a}, pages = {95{\textendash}117}, abstract = {n/a}, author = {C. S. Scherer, J. F. Prolo Filho and Barichello, L.B.} } @article {barichello2010a, title = {An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics. III. Evaporation and condensation problems}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Physik}, volume = {61}, year = {2010}, note = {n/a}, pages = {95{\textendash}117}, abstract = {n/a}, author = {Scherer, C.S. and Barichello, L.B.} } @article {barichello2009c, title = {An Analytical Approach to the Unified Solution of Kinetic Equations in Rarefied Gas Dynamics. I. Flow Problems}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Physik}, volume = {60}, year = {2009}, note = {n/a}, pages = {70{\textendash}115}, abstract = {n/a}, author = {C. S. Scherer, J. F. Prolo Filho and Barichello, L.B.} } @article {Scherer2009, title = {An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics.I. Flow problems}, journal = {Zeitschrift f}, volume = {60}, number = {1}, year = {2009}, note = {n/a}, pages = {70{\textendash}115}, abstract = {n/a}, author = {Scherer, C.S. and Prolo Filho, J.F. and Barichello, L.B.} } @article {barichello2009a, title = {A Heat Transfer Problem in Rarefied Gas Dynamics}, journal = {Heat Transfer Engineering}, volume = {30}, year = {2009}, note = {n/a}, pages = {282{\textendash}291}, abstract = {n/a}, author = {Scherer, C.S. and Barichello, L.B.} } @article {barichello2009b, title = {A Spectral Method for Rarefied Gas Dynamics Problems in Cylindrical Geometry}, journal = {International Journal of Pure and Applied Mathematics}, volume = {51}, year = {2009}, note = {n/a}, pages = {181{\textendash}187}, abstract = {n/a}, author = {P. Rodrigues, C. H. Kamphorst and Barichello, L.B.} } @article {barichello2006a, title = {An Analytical Approach to the Unified Solution of Kinetic Equations in Rarefied Gas Dynamics. I. Flow Problems}, journal = {SIAM J. Applied Mathematics}, volume = {66}, year = {2006}, note = {n/a}, pages = {2149{\textendash}2186}, abstract = {n/a}, author = {R. F. Knackfuss and Barichello, L.B.} } @article {barichello2006c, title = {Surface Effects in Rarefied Gas Dynamics:an Analysis Based on the^M Cercignani-Lampis Boundary Condition}, journal = {European Journal of Mechanics B/Fluids}, volume = {25}, year = {2006}, note = {n/a}, pages = {113{\textendash}129}, abstract = {n/a}, author = {R. F. Knackfuss and Barichello, L.B.} } @article {barichello2006b, title = {Unified Solutions to Some Classical Problems in Rarefied Gas Dynamics Based on the One-Dimensional Linearized S-model Equations}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Physik}, volume = {57}, year = {2006}, note = {n/a}, pages = {285{\textendash}312}, abstract = {n/a}, author = {Cabrera, L.C. and Barichello, L.B.} } @article {barichello2004c, title = {An Integral Equation Approach to Radiative Transfer in Cylindrical Media}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {83}, year = {2004}, note = {n/a}, pages = {765{\textendash}776}, abstract = {n/a}, author = {P. Rodrigues and Barichello, L.B.} } @article {barichello2004b, title = {On Computing the Chapman-Enskog and Burnett Functions}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {86}, year = {2004}, note = {n/a}, pages = {109{\textendash}114}, abstract = {n/a}, author = {L. B. Barichello, P. Rodrigues and C. E. Siewert} } @article {barichello2004a, title = {Unified Approach for Variable Collision Frequency Models in Rarefied Gas Dynamics}, journal = {Transport Theory and Sthatistical Physics}, volume = {33}, year = {2004}, note = {n/a}, pages = {227{\textendash}260}, abstract = {n/a}, author = {M. Camargo and Barichello, L.B.} } @article {barichello2002a, title = {A Discrete-Ordinates Solution for Dual-Mode Heat Transfer in a Cylinder}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {73}, year = {2002}, note = {n/a}, pages = {583{\textendash}602}, abstract = {n/a}, author = {L. B. Barichello, P. Rodrigues and C. E. Siewert} } @article {barichello2002c, title = {An Integral Equation Basic to the BGK Model for Flow in a Cylindrical Tube}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Physik}, volume = {53}, year = {2002}, note = {n/a}, pages = {769{\textendash}781}, abstract = {n/a}, author = {L. B. Barichello, P. Rodrigues and C. E. Siewert} } @article {barichello2002b, title = {The Temperature-Jump Problem for a Variable Collision Frequency Model}, journal = {Physics of Fluids}, volume = {14}, year = {2002}, note = {n/a}, pages = {382{\textendash}391}, abstract = {n/a}, author = {L. B. Barichello, A. C. R. Bartz, M. Camargo and C. E. Siewert} } @article {barichello2001a, title = {An Analytical Approach to the Solution of Multidimensional Drying Problems}, journal = {Hybrid Methods in Engineering}, volume = {2\&3}, year = {2001}, note = {n/a}, abstract = {n/a}, author = {R. L. Thum, L. B. Barichello, M. T. Vilhena and Cotta, R.M.} } @article {barichello2001b, title = {Unified Solutions to Classical Flow Problems Based on the BGK Model}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Physik}, volume = {52}, year = {2001}, note = {n/a}, pages = {517{\textendash}534}, abstract = {n/a}, author = {L. B. Barichello, P. Rodrigues and C. E. Siewert} } @article {Barichello2000, title = {Particular solutions for the discrete-ordinates method}, journal = {Journal of Quantitative Spectroscopy \& Radiative Transfer}, volume = {64}, number = {3}, year = {2000}, note = {n/a}, pages = {219{\textendash}226}, abstract = {n/a}, author = {Barichello, L.B. and Garcia, R.D.M. and Siewert, C.} } @article {barichello2000c, title = {Particular Solutions for the Discrete-Ordinates Method}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {64}, year = {2000}, note = {n/a}, pages = {219{\textendash}226}, abstract = {n/a}, author = {L. B. Barichello, R. D. M. Garcia and C. E. Siewert} } @article {barichello2000b, title = {The Searchlight Problem for Radiative Transfer in a Finite Slab}, journal = {Journal of Computational Physics}, volume = {157}, year = {2000}, note = {n/a}, pages = {707{\textendash}726}, abstract = {n/a}, author = {Barichello, L.B. and C. E. Siewert} } @article {barichello2000a, title = {The Temperature-Jump Problem in Rarefied Gas Dynamics}, journal = {European Journal of Applied Mathematics}, volume = {11}, year = {2000}, note = {n/a}, pages = {353{\textendash}364}, abstract = {n/a}, author = {Barichello, L.B. and C. E. Siewert} } @article {barichello1999e, title = {A Closed-Form Solution to the One Dimensional Linear and Nonlinear Problem in Radiative Transfer}, journal = {Hybrid Methods in Engineering}, volume = {1}, year = {1999}, note = {n/a}, pages = {1{\textendash}17}, abstract = {n/a}, author = {M. T. Vilhena and Barichello, L.B.} } @article {Barichello1999a, title = {A discrete-ordinates solution for a non-grey model with complete frequency redistribution}, journal = {Journal of Quantitative Spectroscopy \& Radiative Transfer}, volume = {62}, number = {6}, year = {1999}, note = {n/a}, pages = {665{\textendash}675}, abstract = {n/a}, author = {Barichello, L.B. and Siewert, C.} } @article {barichello1999d, title = {A Discrete-Ordinates Solution for a Non-Grey Model with Complete Frequency Redistribution}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {62}, year = {1999}, note = {n/a}, pages = {665{\textendash}675}, abstract = {n/a}, author = {Barichello, L.B. and C. E. Siewert} } @article {Barichello1999b, title = {A discrete-ordinates solution for a polarization model with complete frequency redistribution}, journal = {The Astrophysical Journal}, volume = {513}, number = {1}, year = {1999}, note = {n/a}, pages = {370{\textendash}382}, abstract = {n/a}, author = {Barichello, L.B. and Siewert, C.} } @article {barichello1999c, title = {A Discrete-Ordinates Solution for a Polarization Model with Complete Frequency Redistribution}, journal = {The Astrophysical Journal}, volume = {513}, year = {1999}, note = {n/a}, pages = {370{\textendash}382}, abstract = {n/a}, author = {Barichello, L.B. and C. E. Siewert} } @article {barichello1999b, title = {A Discrete-Ordinates Solution for Poiseuille Flow in a Plane Channel}, journal = {Zeitschrift f{\"u}r Angewandte Mathematik und Physik}, volume = {50}, year = {1999}, note = {n/a}, pages = {972{\textendash}981}, abstract = {n/a}, author = {Barichello, L.B. and C. E. Siewert} } @article {barichello1999a, title = {Solutions to the Multidimensional Linear Transport Equation by the Spectral Method}, journal = {Progress in Nuclear Energy}, volume = {35}, year = {1999}, note = {n/a}, pages = {275{\textendash}291}, abstract = {n/a}, author = {M. T. Vilhena, L. B. Barichello, J. R. Zabadal, C. F. Segatto, A. V. Cardona and R. P. Pazos} } @article {barichello1998c, title = {The FN Method for Spectral-Line Formation by Completely Noncoherent Scattering}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {60}, year = {1998}, note = {n/a}, pages = {261{\textendash}276}, abstract = {n/a}, author = {Barichello, L.B. and C. E. Siewert} } @article {barichello1998d, title = {General Solution of One-Dimensional Approximations to the Transport Equation}, journal = {Progress in Nuclear Energy}, volume = {33}, year = {1998}, note = {n/a}, pages = {99{\textendash}115}, abstract = {n/a}, author = {L. B. Barichello, M. T. Vilhena, J. R. Zabadal, C. F. Segatto and A. V. Cardona} } @article {barichello1998a, title = {On the Equivalence Between the Discrete-Ordinates and the Spherical-Harmonics Methods in Radiative Transfer}, journal = {Nuclear Science and Engineering}, volume = {130}, year = {1998}, note = {n/a}, pages = {79{\textendash}84}, abstract = {n/a}, author = {Barichello, L.B. and C. E. Siewert} } @article {barichello1998b, title = {On the Equivalence Between the Discrete-Ordinates and the Spherical-Harmonics Methods in Radiative Transfer}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {60}, year = {1998}, note = {n/a}, pages = {649{\textendash}656}, abstract = {n/a}, author = {Barichello, L.B. and C. E. Siewert} } @article {barichello1998e, title = {A Spherical-Harmonics Solution for Radiative-Transfer Problems with Reflecting Boundaries and Internal Sources}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {70}, year = {1998}, note = {n/a}, pages = {247{\textendash}260}, abstract = {n/a}, author = {L. B. Barichello, R. D. M. Garcia and C. E. Siewert} } @article {barichello1997b, title = {An Analytical Solution for the Two-Dimensional Discrete Ordinates Problem in a Convex Domain}, journal = {Progress in Nuclear Energy}, volume = {31}, year = {1997}, note = {n/a}, pages = {225{\textendash}228}, abstract = {n/a}, author = {J. R. Zabadal, M. T. Vilhena and Barichello, L.B.} } @article {barichello1997a, title = {On Inverse Boundary.Condition Problems in Radiative Transfer}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {57}, year = {1997}, note = {n/a}, pages = {405{\textendash}410}, abstract = {n/a}, author = {L. B. Barichello, R. D. M. Garcia and C. E. Siewert} } @article {barichello1996, title = {The Fourier Decomposition for a Radiative-Transfer Problem with an Asymmetrically Reflecting Ground}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {56}, year = {1996}, note = {n/a}, pages = {363{\textendash}371}, abstract = {n/a}, author = {L. B. Barichello, R. D. M. Garcia and C. E. Siewert} } @article {barichello1995b, title = {An Analytical Solution for the Multigroup Slab Geometry Discrete Ordinates Problems}, journal = {Transport Theory and Statistical Physics}, volume = {24}, year = {1995}, note = {n/a}, pages = {1029{\textendash}1037}, abstract = {n/a}, author = {M. T. Vilhena and Barichello, L.B.} } @article {barichello1995a, title = {A Particular Solution for the SN Radiative Transfer Problems}, journal = {Journal of Quantitative Spectroscopy and Radiative Transfer}, volume = {53}, year = {1995}, note = {n/a}, pages = {467{\textendash}469}, abstract = {n/a}, author = {M. T. Vilhena, C. F. Segatto and Barichello, L.B.} } @article {barichello1995c, title = {Solution of the Three- Dimensional One- Group Discrete Ordinates Problems by the LTSN Method}, journal = {Annals of Nuclear Energy}, volume = {22}, year = {1995}, note = {n/a}, pages = {131{\textendash}134}, abstract = {n/a}, author = {J. R. Zabadal, M. T. Vilhena and Barichello, L.B.} } @article {barichello1993, title = {A General Analytical Approach to the One group, One-Dimensional Transport Equation}, journal = {Kerntechnik}, volume = {58}, year = {1993}, note = {n/a}, pages = {182{\textendash}184}, abstract = {n/a}, author = {Barichello, L.B. and M. T. Vilhena} } @article {barichello1991, title = {A New Analytical Approach to Solve the Neutron Transport Equation}, journal = {Kerntechnik}, volume = {56}, year = {1991}, note = {n/a}, pages = {334{\textendash}336}, abstract = {n/a}, author = {M. T. Vilhena and Barichello, L.B.} }