### Preprints

A nonclassical model to eigenvalue neutron transport calculations

Leonardo R.C. Moraes, Ricardo C. Barros, Richard Vasques

Submitted

Leonardo R.C. Moraes, Ricardo C. Barros, Richard Vasques

Submitted

### Journal Publications

Leonardo R.C. Moraes, Japan K. Patel, Ricardo C. Barros, Richard Vasques

Progress in Nuclear Energy, vol. 168, 2024, p. 104985

Leonardo R.C. Moraes, Ricardo C. Barros, Richard Vasques

Journal of Computational and Theoretical Transport, vol. 52(1), 2023, pp. 55-77

[J19] On the occurrence of linearly dependent eigenvectors in nonclassical transport calculations

Leonardo R.C. Moraes, Richard Vasques, Ricardo C. Barros

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 295(-), 2023, p. 108407

[J18] An improved spectral approach for solving the nonclassical neutral particle transport equation

Leonardo R.C. Moraes, Japan K. Patel, Ricardo C. Barros, Richard Vasques

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 490(-), 2022, p. 108282

Leonardo R. C. Moraes, Liliane B. Barichello, Ricardo C. Barros, Richard Vasques

Journal of Computational Physics, vol. 455(-), 2022, p. 110982

Japan K. Patel, Leonardo R. C. Moraes, Richard Vasques, Ricardo C. Barros

Journal of Computational and Applied Mathematics, vol. 401(-), 2022 , p. 113768

[J15] Modified Fokker-Planck acceleration for forward-peaked transport problems in slab geometry

John J. Kuczek, Japan K. Patel, Richard Vasques

Journal of Computational and Theoretical Transport, vol. 50(5), 2021, pp. 430-453

[J14] A spectral approach for solving the nonclassical transport equation

Richard Vasques, Leonardo R. C. Moraes, Ricardo Carvalho de Barros, Rachel N. Slaybaugh

Journal of Computational Physics, vol. 402(-), 2020, p. 109078

Robert K. Palmer, Richard Vasques

Journal of Computational and Theoretical Transport, vol. 49(7), 2020, pp. 331-348

[J12] Exact transport representations of the classical and nonclassical simplified PN equations

Ilker Makine, Richard Vasques, Rachel N. Slaybaugh

Journal of Computational and Theoretical Transport, vol. 47(4-6), 2018, pp. 326-349

[J11] Nonclassical particle transport in one-dimensional random periodic media

Richard Vasques, Kai Krycki, Rachel N. Slaybaugh

Nuclear Science and Engineering, vol. 185(1), 2017, pp. 78-106

[J10] A nonstiff solution for the stochastic neutron point kinetics equations

Milena Wollmann da Silva, Richard Vasques, Bardo E. J. Bodmann, Marco T. Vilhena

Annals of Nuclear Energy, vol. 97(-), 2016, pp. 47-52

[J9] The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation

Richard Vasques

Applied Mathematics Letters, vol. 53(-), 2016, pp. 63-68

Martin Frank, Kai Krycki, Edward W. Larsen, Richard Vasques

Siam Journal on Applied Mathematics, vol. 75(3), 2015, pp. 1329-1345

[J7] Adjusted Levermore–Pomraning equations for diffusive random systems in slab geometry

Richard Vasques, Nitin K. Yadav

Journal of Quantitative Spectroscopy & Radiative Transfer, vol. 154(-), 2015, pp. 98-112

[J6] Non-classical particle transport with angular-dependent path-length distributions. I: Theory

Richard Vasques, Edward W. Larsen

Annals of Nuclear Energy, vol. 70(-), 2014, pp. 292-300

Richard Vasques, Edward W. Larsen

Annals of Nuclear Energy, vol. 70(-), 2014, pp. 301-311

[J4] Nuclear energy is renewable energy

Richard Vasques

Energy Research Journal, vol. 5(2), 2014 Nov, pp. 33-34

[J3] A generalized linear Boltzmann equation for non-classical particle transport

Edward W. Larsen, Richard Vasques

Journal of Quantitative Spectroscopy & Radiative Transfer, vol. 112(4), 2011, pp. 619-631

[J2] Uma nova versão do método LTAN

Augusto V. Cardona, Richard Vasques, Marco T. Vilhena

TEMA: Trends in Computational and Applied Mathematics, vol. 5(1), 2004, pp. 49-54

[J1] Simulação da dispersão de poluentes em meio aquático usando álgebra de Lie

Jorge R. Zabadal, Richard Vasques, Anelise Haag, Cynthia F. Segatto

Ciência e Natura, Special(-), 2002, pp. 145-156

### Refereed Conference Proceedings

Alan S. Silva, Leonardo R.C. Moraes, Ricardo C. Barros, Richard Vasques

Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Niagara Falls, Canada, 2023 Aug

[P39] A “consistent” quasidiffusion method for iteratively solving particle transport problems

Edward W. Larsen, Tomas M. Paganin, Richard Vasques

Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Niagara Falls, Canada, 2023 Aug

Leonardo R.C. Moraes, Ricardo C. Barros, Richard Vasques

Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Niagara Falls, Canada, 2023 Aug

[P37] Derivation of a multigroup diffusion equation for nonclassical problems

Lisa S. Enomoto, Hermes Alves Filho, Richard Vasques

Sunday A. Agbo, Leonardo R.C. Moraes, Richard Vasques

[P35] An initial study of the convergence rate of Griffin’s pebble bed reactors algorithm

Tomas M. Paganin, Sebastian Schunert, Leonardo R.C. Moraes, Richard Vasques

[P34] Using machine learning to unfold neutron spectra wth a passive neutron spectrometer

Zachary Condon, Daniel Siefman, Richard Vasques

[P33] A review of the deterministic solution of nonclassical transport problems

Leonardo R. C. Moraes, Ricardo C. Barros, Richard Vasques

Proceedings of International Nuclear Atlantic Conference - INAC 2021, Virtual Meeting, Brazil, 2021 Nov

[P32] The nonclassical simplified P2 and P3 equations with anisotropic scattering

Robert K. Palmer, Richard Vasques

Proceedings of The International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Virtual Meeting (Raleigh, NC), 2021 Oct, pp. 368-378

Japan K. Patel, John J. Kuczek, Richard Vasques

Transactions of the American Nuclear Society, vol. 121(1), 2019, pp. 65-68

[P30] One-way coupled benchmark for combined-hyperthermia- radiotherapy treatment in slab geometry

Barry D. Ganapol, Japan K. Patel, Richard Vasques

Proceedings of 26th ICTT: International Conference on Transport Theory, Paris, France, 2019 Sep

[P29] Nonlinear Fokker-Planck acceleration for forward-peaked transport problems in slab geometry

Japan K. Patel, John. J. Kuczek, Richard Vasques

Proceedings of 26th ICTT: International Conference on Transport Theory, Paris, France, 2019 Sep

[P28] P1 synthetic acceleration for nonclassical spectral SN equations in slab geometry

Japan K. Patel, Leonardo R. C. Moraes, Richard Vasques, Ricardo C. Barros

Proceedings of 26th ICTT: International Conference on Transport Theory, Paris, France, 2019 Sep

Richard Vasques, Patrick S. Brantley, Robert K. Palmer

Proceedings of 26th ICTT: International Conference on Transport Theory, Paris, France, 2019 Sep

Robert K. Palmer, Richard Vasques

Proceedings of 26th ICTT: International Conference on Transport Theory, Paris, France, 2019 Sep

Japan K. Patel, Richard Vasques, Barry D. Ganapol

Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Portland, OR, 2019 Aug

[P24] Solver recommendation for transport problems in slabs using machine learning

Jinzhao Chen, Japan K. Patel, Richard Vasques

Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Portland, OR, 2019 Aug

[P23] Exact transport representations of the classical and nonclassical simplified PN equations

Ilker Makine, Richard Vasques, Rachel N. Slaybaugh

Proceedings of 25th ICTT: International Conference on Transport Theory, Monterey, CA, 2017 Oct

[P22] A generalized volume rendering approach for computer graphics

Magnus Wrenninge, Richard Vasques, Rachel N. Slaybaugh

Proceedings of 25th ICTT: International Conference on Transport Theory, Monterey, CA, 2017 Oct

[P21] Simplified PN equations for nonclassical transport with isotropic scattering

Richard Vasques, Rachel N. Slaybaugh

Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering, Jeju, South Korea, 2017 Apr

[P20] Nonclassical particle transport in the 1-D diffusive limit

Richard Vasques, Rachel N. Slaybaugh, Kai Krycki

Transactions of the American Nuclear Society, vol. 114(1), 2016, pp. 361-364

Milena Wollmann da Silva, Bardo E. J. Bodmann, Marco T. Vilhena, Richard Vasques

Proceedings of 7th INAC: International Nuclear Atlantic Conference, São Paulo, Brazil, 2015 Oct

[P18] Boundary conditions for the 1-D non-classical transport equation

Richard Vasques, Kai Krycki

Proceedings of 24th ICTT: International Conference on Transport Theory, Taormina, Italy, 2015 Sep

[P17] On the accuracy of the non-classical transport equation in 1- D random periodic media

Richard Vasques, Kai Krycki

Proceedings of Joint International Conference on Mathematics and Computation, Supercomputing in Nuclear Applications and the Monte Carlo Method, Nashville, TN, 2015 Apr

[P16] Fast neutron imaging with an aSi detector for nuclear waste assay

Manuel Schumann, Ralf Engels, Martin Frank, Julia Furletova, Sergey Furletov, Andreas Havenith, Günter Kemmerling, John Kettler, Thorwald Klapdor-Kleingrothaus, Eric Mauerhofer, Oliver Schitthelm, Richard Vasques, D. Voß, Martin Willenbockel

Proceedings of 25th SAAGAS: Seminar on Activation Analysis and Gamma Spectroscopy, Aachen, Germany, 2015 Feb

Manuel Schumann, Ralf Engels, Martin Frank, Julia Furletova, Andreas Havenith, Günter Kemmerling, John Kettler, Eric Mauerhofer, Oliver Schitthelm, Richard Vasques

Proceedings of 10th World Conference on Neutron Radiography, Grindelwald, Switzerland, 2014 Oct

[P14] Compact neutron imaging system for radioactive-waste analysis (NISRA)

Ralf Engels, Martin Frank, Julia Furletova, Andreas Havenith, Günter Kemmerling, John Kettler, Eric Mauerhofer, Oliver Schitthelm, Manuel Schumann, Richard Vasques, D. Voß

Proceedings of 10th World Conference on Neutron Radiography, Grindelwald, Switzerland, 2014 Oct

[P13] Monte-Carlo application for nondestructive nuclear waste analysis

Manuel Schumann, Ralf Engels, Martin Frank, Sergey Furletov, Julia Furletova, Christoph Genreith, Andreas Havenith, Günter Kemmerling, John Kettler, Thomas Krings, Eric Mauerhofer, Daniel Neike, Matthias Rossbach, Oliver Schitthelm, Richard Vasques, Cédric Carasco, Emmanuel Payan, Bertrand Perot, Jean-Luc Ma

Proceedings of Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo, Paris, France, 2013 Oct

[P12] Compact neutron imaging system for the investigation of large and dense objects

John Kettler, Andreas Havenith, Daniel Neike, Eric Mauerhofer, Günter Kemmerling, Julia Furletova, Manuel Schumann, Martin Frank, Oliver Schitthelm, Ralf Engels, Richard Vasques, Sergey Furletov

Proceedings of 1st NINMACH: International Conference on Neutron Imaging and Neutron Methods in Archaeology and Cultural Heritage Research, Garching, Germany, 2013 Sep

Kai Krycki, Richard Vasques

Proceedings of NumHyp: Numerical approximations of hyperbolic systems with source terms and applications, Aachen, Germany, 2013 Sep

[P10] Zerstoerungsfreie Charakterisierung Radioaktiver Abfaelle

Manuel Schumann, Ralf Engels, Martin Frank, Sergey Furletov, Julia Furletova, Christoph Genreith, Andreas Havenith, Günter Kemmerling, John Kettler, Thomas Krings, Eric Mauerhofer, Daniel Neike, Matthias Rossbach, Oliver Schitthelm, Richard Vasques, Cédric Carasco, Emmanuel Payan, Bertrand Perot, Jean-Luc Ma

VKTA Workshop: Huerden und Fallstricke bei der Charakterisierung von Abfall-Gebinden, Dresden, Germany, 2013 Jun

[P9] Estimating anisotropic diffusion of neutrons near the boundary of a pebble bed random system

Richard Vasques

Proceedings of International Conference on Mathematics and Computational Methods Applied to Nuclear Science & Engineering, Sun Valley, ID, 2013 May

[P8] Neutron imaging system for radioactive-waste analysis

Ralf Engels, Martin Frank, Sergey Furletov, Julia Furletova, Andreas Havenith, Günter Kemmerling, John Kettler, Eric Mauerhofer, Daniel Neike, Oliver Schitthelm, Manuel Schumann, Richard Vasques

Proceedings of 24th SAAGAS: Seminar on Activation Analysis and Gamma Spectroscopy, Munich, Germany, 2013 Feb

[P7] Anisotropic diffusion in model 2-D pebble-bed reactor cores

Richard Vasques, Edward W. Larsen

Proceedings of International Conference on Advances in Mathematics, Computational Methods, and Reactor Physics, Saratoga Springs, NY, 2009 May

[P6] Particle transport in the 1-D diffusive atomic mix limit

Edward W. Larsen, Richard Vasques, Marco T. Vilhena

Proceedings of Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications, Avignon, France, 2005 Sep

[P5] State of the art of particle transport theory in stochastic media

Richard Vasques, Marco T. Vilhena, Mark Thompson, Edward W. Larsen

Proceedings of XXV CILAMCE: Iberian Latin American Congress on Computational Methods in Engineering, Recife, Brazil, 2004 Nov

[P4] Aumentando a eficiência computacional do método LTAn

Augusto V. Cardona, Richard Vasques

Proceedings of XXVI CNMAC: Congresso Nacional de Matemática Aplicada e Computacional, São José do Rio Preto, Brazil, 2003 Sep

Augusto V. Cardona, Richard Vasques, José V. P. Oliveira

Proceedings of XXVI CNMAC: Congresso Nacional de Matemática Aplicada e Computacional, São José do Rio Preto, Brazil, 2003 Sep

[P2] The one-dimensional LTAn solution in a slab with high order of quadrature

Augusto V. Cardona, Marco T. Vilhena, José V. P. Oliveira, Richard Vasques

Proceedings of 18th ICTT: International Conference on Transport Theory, Rio de Janeiro, Brazil, 2003 Jul

[P1] The LTSn solution for the neutron transport equation in spherical geometry

Richard Vasques, Cynthia F. Segatto, Marco T. Vilhena

Proceedings of 18th ICTT: International Conference on Transport Theory, Rio de Janeiro, Brazil, 2003 Jul

### Book Chapter

[C1] Influence of stochastic moments in the solution of the neutron point kinetics equation

Milena Wollmann da Silva, Bardo E. J. Bodmann, Marco T. Vilhena, Richard Vasques

C. Constanda, A. Kirsch, Integral Methods in Science and Engineering, Springer: Birkhauser Basel, 2015, pp. 613-624