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submitted

- Modified Fokker-Planck Acceleration for Forward-Peaked Transport Problems in Slab Geometry
– J.J. Kuczek, J.K. Patel, R. Vasques
Submitted (2020)

- Transport Synthetic Acceleration for the Solution of the One-Speed Nonclassical Spectral SN Equations in Slab Geometry
– J.K. Patel, L.R.C. Moraes, R. Vasques, R.C. Barros
Submitted (2020)

- The Nonclassical Simplified P2 and P3 Equations with Anisotropic Scattering
– R.K. Palmer, R. Vasques
Submitted (2020)

- The Analytical Discrete Ordinates Method Applied to the Nonclassical Spectral SN Equations for Diffusive Problems
– L.R.C. Moraes, L.B. Barichello, R. Vasques, R.C. Barros
Submitted (2020)

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published

- Asymptotic Derivation of the Simplified PN Equations for Nonclassical Transport with Anisotropic Scattering
– R.K. Palmer, R. Vasques
Journal of Computational and Theoretical Transport 49: 331-348 (2020)
10.1080/23324309.2020.1816552

- A Spectral Approach for Solving the Nonclassical Transport Equation
– R. Vasques, L.R.C. Moraes, R.C. Barros, R.N. Slaybaugh
Journal of Computational Physics 402: 109078 (2020)
10.1016/j.jcp.2019.109078

- One-way Coupled Tumor Response Model for Combined-Hyperthermia-Radiotherapy Treatment with Anisotropic Scattering
– J.K. Patel, J.J. Kuczek, R. Vasques
Transactions of the American Nuclear Society 121: 65-68 (2019)

- P1 Synthetic Acceleration for Nonclassical Spectral SN Equations in Slab Geometry
– J.K. Patel, L.R.C. Moraes, R. Vasques, R.C. Barros
Proc. 26th International Conference on Transport Theory. September 22-27, Paris, France (2019)
summary

- Asymptotic Derivation of the Simplified PN Equations for Nonclassical Transport with Anisotropic Scattering
– R.K. Palmer, R. Vasques
Proc. 26th International Conference on Transport Theory. September 22-27, Paris, France (2019)
summary

- A Nonclassical Monte Carlo Algorithm for Transport Problems in Diffusive Binary Stochastic Media
– R. Vasques, P.S. Brantley, R.K. Palmer
Proc. 26th International Conference on Transport Theory. September 22-27, Paris, France (2019)
summary

- Nonlinear Fokker-Planck Acceleration for Forward-Peaked Transport Problems in Slab Geometry
– J. Patel, J.J. Kuczek, R. Vasques
Proc. 26th International Conference on Transport Theory. September 22-27, Paris, France (2019)
summary

- One-way Coupled Benchmark for Combined-Hyperthermia-Radiotherapy Treatment in Slab Geometry.”
– B.D. Ganapol, J.K. Patel, R. Vasques
Proc. 26th International Conference on Transport Theory. September 22-27, Paris, France (2019)
summary

- Towards a Multiphysics Model for Tumor Response to Combined-Hyperthermia-Radiotherapy Treatment”
– J.K. Patel, R. Vasques, B.D. Ganapol
Proc. International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering – M&C 2019. August 25-29, Portland, OR, U.S.A. (2019)
summary

- Solver Recommendation for Transport Problems in Slabs Using Machine Learning
– D. Chen, J.K. Patel, R. Vasques
Proc. International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering – M&C 2019. August 25-29, Portland, OR (2019)
summary

- Exact Transport Representations of the Classical and Nonclassical Simplified PN Equations
– I. Makine, R. Vasques, R.N. Slaybaugh
Journal of Computational and Theoretical Transport 47(4-6): 326-349 (2018)
10.1080/23324309.2018.1496938

- Nonclassical particle transport in one-dimensional random periodic media
– R. Vasques, K. Krycki, R.N. Slaybaugh
Nuclear Science and Engineering 185(1): 78-106 (2017)
10.13182/NSE16-35

- A Generalized Volume Rendering Approach for Computer Graphics
– M. Wrenninge, R. Vasques, R.N. Slaybaugh
Proc. 25th International Conference on Transport Theory. October 16-20, Monterey, CA, U.S.A. (2017)

- Exact Transport Representations of the Classical and Nonclassical Simplified PN Equations
– I. Makine, R. Vasques, R.N. Slaybaugh
Proc. 25th International Conference on Transport Theory. October 16-20, Monterey, CA, U.S.A. (2017)

- Simplified PN equations for nonclassical transport with isotropic scattering
– R. Vasques, R.N. Slaybaugh
Proc. International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering – M&C 2017. April 16-20, Jeju, Korea (2017)

- A nonstiff solution for the stochastic neutron point kinetics equations
– M. Wollmann da Silva, R. Vasques, B.E.J. Bodmann, M.T. Vilhena
Annals of Nuclear Energy 97: 47-52 (2016)
10.1016/j.anucene.2016.06.026

- Nonclassical particle transport in the 1-D diffusive limit
– R. Vasques, R.N. Slaybaugh, K. Krycki
Transactions of the American Nuclear Society 114: 361-364 (2016)
10.13140/RG.2.1.2869.1443

- The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation
– R. Vasques
Applied Mathematics Letters 53: 63-68 (2016)
10.1016/j.aml.2015.10.003

- The solution of the neutron point kinetics equation with stochastic extension: an analysis of two moments
– M. Wollmann da Silva, M.T. Vilhena, B.E.J. Bodmann, R. Vasques
Proc. 7th International Nuclear Atlantic Conference. October 4-9, São Paulo, SP, Brazil (2015)

- The nonclassical Boltzmann equation and diffusion-based approximations to the Boltzmann equation
– M. Frank, K. Krycki, E.W. Larsen, R. Vasques
Siam Journal on Applied Mathematics 75(3): 1329-1345 (2015)
10.1137/140999451

- Influence of stochastic moments on the solution of the neutron point kinetics equation
– M. Wollmann da Silva, B.E.J. Bodmann, M.T. Vilhena, R. Vasques
Integral Methods in Science and Engineering, C. Constanda and A. Kirsch (eds), Springer: Birkhauser Basel, pp. 675-686 (2015)
10.1007/978-3-319-16727-5_56

- On the accuracy of the non-classical transport equation in 1-D random periodic media
– R. Vasques, K. Krycki
Proc. Joint International Conference on Mathematics and Computation, Supercomputing in Nuclear Applications and the Monte Carlo Method. April 19-23, Nashville, TN, U.S.A. (2015)
10.13140/RG.2.1.5006.2329
corrigendum

- Adjusted Levermore-Pomraning equations for diffusive random systems in slab geometry
– R. Vasques, N.K. Yadav
Journal of Quantitative Spectroscopy & Radiative Transfer 154: 98-112 (2015)
10.1016/j.jqsrt.2014.12.012

- Boundary Conditions for the 1-D Non-classical Transport Equation
– R. Vasques, K. Krycki
Proc. 24th International Conference on Transport Theory. September 7-11, Taormina, Sicily, Italy (2015)

- Non-classical particle transport with angular-dependent path-length distributions. I: Theory
– R. Vasques, E.W. Larsen
Annals of Nuclear Energy 70: 292-300 (2014)
10.1016/j.anucene.2013.12.021

- Non-classical particle transport with angular-dependent path-length distributions. II: Application to pebble bed reactor cores
– R. Vasques, E.W. Larsen
Annals of Nuclear Energy 70: 301-311 (2014)
10.1016/j.anucene.2013.12.020

- Nuclear energy is renewable energy
– R. Vasques
Energy Research Journal 5(2): 41-42 (2014)
10.3844/erjsp.2014.33.34

- Estimating anisotropic diffusion of neutrons near the boundary of a pebble bed random system
– R. Vasques
Proc. International Conference on Mathematics and Computational Methods Applied to Nuclear Science & Engineering. May 5-9, Sun Valley, ID, U.S.A. (2013)
10.13140/RG.2.1.2909.0809

- A generalized linear Boltzmann equation for non-classical particle transport
– E.W. Larsen, R. Vasques
Journal of Quantitative Spectroscopy & Radiative Transfer 112: 619-631 (2011)
10.1016/j.jqsrt.2010.07.003

- Anisotropic diffusion in model 2-D pebble-bed reactor cores
– R. Vasques, E.W. Larsen
Proc. International Conference on Advances in Mathematics, Computational Methods, and Reactor Physics. May 3-7, Saratoga Springs, NY, U.S.A. (2009)
10.13140/RG.2.1.4350.8728

- Particle transport in the 1-D diffusive atomic mix limit
– E.W. Larsen, R. Vasques, M.T. Vilhena
Proc. Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications Meeting – M&C 2005. September 12-15, Avignon, France (2005)
10.13140/RG.2.1.1729.4329

- State of the art of particle transport theory in stochastic media
– R. Vasques, M.T. Vilhena, M. Thompson, E.W. Larsen
Proc. XXV Iberian Latin American Congress on Computational Methods in Engineering. November 10-12, Recife, PE, Brazil (2004)

- Uma nova versão do método LTAn
– A.V. Cardona, R. Vasques, M.T. Vilhena
Trends in Applied and Computational Mathematics 5(1): 49-54 (2004)
10.5540/tema.2004.05.01.0049

- Solução LTAn para o problema de transporte em uma placa com uma fonte arbitrária e altas ordens de quadratura
– A.V. Cardona, R. Vasques, J.V.P. Oliveira
Proc. XXVI Congresso Nacional de Matemática Aplicada e Computacional. September 8-11, São José do Rio Preto, SP, Brazil (2003)

- Aumentando a eficiência computacional do Método LTAn
– A.V. Cardona, R. Vasques
Proc. XXVI Congresso Nacional de Matemática Aplicada e Computacional. September 8-11, São José do Rio Preto, SP, Brazil (2003)

- The LTSn solution for the neutron transport equation in spherical geometry
– R. Vasques, C.F. Segatto, M.T. Vilhena
Proc. 18th International Conference on Transport Theory. July 20-25, Rio de Janeiro, RJ, Brazil (2003)

- The one-dimensional LTAn solution in a slab with high order of quadrature
– A.V. Cardona, M.T. Vilhena, J.V.P. Oliveira, R. Vasques
Proc. 18th International Conference on Transport Theory. July 20-25, Rio de Janeiro, RJ, Brazil (2003)

- Simulação da dispersão de poluentes em meio aquático usando álgebra de Lie
– J.R. Zabadal, A. Haag, R. Vasques, C.F Segatto
Ciência & Natura Ep: 145-156 (2002)

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refereed abstracts & posters

Compact neutron imaging system for radioactive-waste analysis (NISRA)
– R. Engels, M. Frank, J. Furletova, A. Havenith, G. Kemmerling, J. Kettler, E. Mauerhofer, O. Schitthelm, M. Schumann, R. Vasques, D. Voß
10th World Conference on Neutron Radiography. October 5-10, Grindelwald, Switzerland (2014)

Monte-Carlo application for nondestructive nuclear waste analysis
– C. Carasco, R. Engels, M. Frank, S. Furletov, J. Furletova, C. Genreith, A. Havenith, G. Kemmerling, J. Kettler, T. Krings, J.-L. Ma, E. Mauerhofer, D. Neike, E. Payan, B. Perot, M. Rossbach, O. Schitthelm, M. Schumann, R. Vasques
Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo. October 27-31, Paris, France (2013)
poster

Numerical schemes for a non-classical linear Boltzmann equation for transport through spatially correlated media
– K. Krycki, R. Vasques
Numerical Approximations of Hyperbolic Systems with Source Terms and Applications. September 23-27, Aachen, Germany (2013)
poster

Zerstorungsfreie Charakterisierung Radioaktiver Abfalle
– M. Schumann, R. Engels, M. Frank, S. Furletov, J. Furletova, C. Genreith, A. Havenith, G. Kemmerling, J. Kettler, T. Krings, E. Mauerhofer, D. Neike, M. Rossbach, O. Schitthelm, R. Vasques, C. Carasco, E. Payan, B. Perot, J.-L. Ma
VKTA Workshop: Hurden und Fallstricke bei der Charakterisierung von Abfall-Gebinden. June 10-11, Dresden, Germany (2013)
poster

Neutron imaging system for radioactive-waste analysis
– R. Engels, M. Frank, S. Furletov, J. Furletova, A. Havenith, G. Kemmerling, J. Kettler, E. Mauerhofer, D. Neike, O. Schitthelm, M. Schumann, R. Vasques
24 SAAGAS: Seminar Aktivierungsanalyse und Gammaspektroskopie. February 26-28, Munich, Germany (2013)
poster

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theses

Anisotropic diffusion of neutral particles in stochastic media
– R. Vasques
Ph.D. dissertation, Department of Mathematics, University of Michigan, Ann Arbor (2009)

A review of particle transport theory in a binary stochastic medium
– R. Vasques
M.Sc. thesis, Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Brazil (2005)