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\bibitem{Dragon1}
G. Marleau and A. H\'ebert, ``A New Driver for Collision Probability Transport
Codes", {\sl Int. Top. Mtg. on Advances in Nuclear Engineering
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\bibitem{Dragon2}
G.~Marleau, R.~Roy and A.~H\'{e}bert,
``DRAGON: A Collision Probability Transport Code for Cell and Supercell
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\bibitem{Dragon3}
G.~Marleau, A.~H\'{e}bert and R.~Roy, ``New Computational Methods Used in
the Lattice Code DRAGON'',  {\sl Top Mtg. on Advances in Reactor Physics},
Charleston, SC, March 8-11 1992; 

\bibitem{Dragon4}
A.~H\'{e}bert, G.~Marleau and R.~Roy, ``Application of the Lattice Code
DRAGON to CANDU Analysis'',  {\sl Trans. Am. Nucl. Soc.}, {\bf 72}, 335 (1995);

\bibitem{ganlib5}
A. H\'ebert and R.~Roy,
``The Ganlib5 kernel guide (64--bit clean version),"
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\bibitem{cle2000}
R.~Roy, \textsl{The CLE-2000 Tool-Box}, 
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\bibitem{Apollo}
A.~Hoffman et al., ``APOLLO: Code Multigroupe de r\'esolution de l'\'equation du
transport pour les neutrons  thermiques et rapides'', CEA-N-1610, Commisariat
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\bibitem{Apollo2}
S. Loubi\`ere, R. Sanchez, M. Coste, A. H\'ebert, Z. Stankovski, C. Van Der Gucht and I. Zmijarevic, ``APOLLO2,
Twelve Years Later", {\sl Int. Conf. on Mathematics and Computation,
Reactor Physics and Environmental Analysis in Nuclear Applications}, Madrid, Spain, September 27--30, 1999.

\bibitem{Apollo3}
I. Zmijarevic, N. Huot, F. Auffret and P. Bellier, ``Description of the APOLLO3 Multi-parameter Output Library for the
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P. J. Laughton, ``NJOYPREP and WILMAPREP: UNIX-Based Tools for WIMS-
AECL Cross-Section Library Production," Atomic Energy of Canada,
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\bibitem{subg}
A.~H\'ebert, ``A Comparison of Three Techniques for Computing Probability
Tables", {\sl Int. Conf. on the Physics of Nuclear Science and Technology},
Long Island, New York, October 5 -- 8, 1998.

\bibitem{pt}
A.~H\'ebert and M.~Coste, ``Computing Moment-Based Probability Tables for
Self-Shielding Calculations in Lattice Codes," {\sl Nucl. Sci. Eng.}, {\bf 142},
245 - 257 (2002).

\bibitem{nse2004}
A.~H\'ebert, ``The Ribon Extended Self-Shielding Model," {\sl Nucl. Sci. Eng.}, {\bf 151}, 1-24  (2005).

\bibitem{SPM09}
A. H\'ebert, ``Development of the Subgroup Projection Method for Resonance Self-Shielding Calculations," {\sl Nucl. Sci. Eng.} {\bf 162}, 56-75 (2009).

\bibitem{rse2021}
R. Kondo, T. Endo, A. Yamamoto, S. Takeda, H. Koike, K. Yamaji and D. Sato, ``A New Resonance Calculation Method Using Energy
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\bibitem{wlup}
B. Dodd, S. Basu, S. Paranjpe and A. Trkov, ``WIMS-D Library Update," International Atomic Energy Agency
Report STI/PUB/1264, Vienna, Austria (2007).

\bibitem{st}
M.~Coste {\sl et al}, ``New Improvements in the Self-Shielding Formalism of the APOLLO2
Code", {\sl Joint Int. Conf. on
Mathematical Methods and Supercomputing in Nuclear Applications}, Karlsruhe,
Germany, April 19 -- 23, 1993.

\bibitem{SPH}
A.~H\'ebert, ``D\'eveloppement de la m\'ethode SPH: Homog\'en\'eisation de
cellules dans un r\'eseau non uniforme  et calcul des param\`etres de
r\'eflecteur'', CEA-N-2209, Commissariat \`a l'\'Energie Atomique, France (1981).

\bibitem{roy}
R.~Roy, D.~Rozon, A.~H\'ebert and G.~Hotte, `` Treatment of Circular Boundary
Conditions in Neutron Diffusion Calculations", Third Int. Conf. on Simulation
Methods in Nuclear Engineering, Montr\'eal, Canada, April 18 -- 20,
1990.

\bibitem{DragonPIJI}
R.~Roy, A.~H\'ebert and G.~Marleau, ``A Transport Method for Treating
Three-Dimensional Lattices of Heterogeneous Cells", {\sl Nucl.~Sci.~Eng.}, {\bf
101}, 217 (1989).

\bibitem{Mtl93a}
 R.~Roy, G.~Marleau, J.~Tajmouati and D.~Rozon, ``Modelling of CANDU Reactivity
Control Devices with the Lattice Code DRAGON'', {\sl Ann.~nucl.~Energy}, {\bf
21}, 115 (1994).

\bibitem{mccg}
I.~R.~Suslov, ``Solution of Transport Equation in 2-- and 3--Dimensional
Irregular Geometry by the Method of Characteristics", {\sl Joint Int. Conf. on
Mathematical Methods and Supercomputing in Nuclear Applications}, Karlsruhe,
Germany, April 19 -- 23, 1993.

\bibitem{suslov2}
I. R. Suslov, ``An Algebraic Collapsing Acceleration Method for Acceleration of the Inner (Scattering) Iterations in Long Characteristics Transport Theory",
{\sl Int. Conf. on Supercomputing in Nuclear Applications}, Paris, France, September 22 -- 24, 2003.

\bibitem{chicago2}
R. Le Tellier and A. H\'ebert, ``Application of the DSA Preconditioned GMRES Formalism to the Method of Characteristics -- First Results",
{\sl Int. Mtg. on the Physics of Fuel Cycles and Advanced Nuclear Systems:
Global Developments. PHYSOR-2004}, Chicago, Illinois, April 25 -- 29, 2004.

\bibitem{DragonPIJS1}
R.~Roy, ``Anisotropic Scattering for Integral Transport Codes. Part 1. Slab
Assemblies", {\sl Ann.~nucl.~Energy}, {\bf 17}, 379 (1990).

\bibitem{DragonPIJS2}
R.~Roy, ``Anisotropic Scattering for Integral Transport Codes. Part 2. Cyclic
Tracking and its Application to $XY$ Lattices" {\sl Ann.~nucl.~Energy}, {\bf
18}, 511 (1991).

\bibitem{DragonPIJS3}
R.~Roy, G.~Marleau, A.~H\'ebert and D. Rozon, ``A Cyclic Tracking Procedure for Collision
Probability Calculations in 2-D Lattices'', {\sl Int. Topical Meeting on
Advances in Mathematica, Computation and Reactor Physics}, Pittsburgh, PA, April
28 -- May 2, 1991. 

\bibitem{Mtl93b} 
G.~Marleau and R.~Roy, ``Use of Specular Boundary Conditions for CANDU Cell
Analysis'',  {\sl Fourth Int. Conf. on Simulation Methods in Nuclear
Engineering}, Montr\'eal, June 2-4, 1993.

\bibitem{cdd}
H.~Khalil, ``Effectiveness of a Consistently Formulated Diffusion Synthetic
Acceleration Differencing approach", {\sl Nucl.~Sci.~Eng.}, {\bf 98}, 226 (1988).

\bibitem{kba}
K. Koch, R. Baker, and R. Alcouffe, ``Solution of the First-Order Form of the Three-Dimensional Discrete Ordinates Equation on
a Massively Parallel Machine,'' {\sl Trans. Am. Nucl. Soc.}, {\bf 65}, 198 (1992). 

\bibitem{domino}
S. Moustafa, I. Dutka-Malen, L. Plagne, A. Pon\c cot and P. Ramet, ``Shared memory parallelism for 3D Cartesian discrete ordinates solver," {\sl Ann.~nucl.~Energy}, {\bf 82}, 179 (2015).

\bibitem{ligou}
K. Przybylski and J. Ligou, ``Numerical Analysis of the Boltzmann Equation Including Fokker-Planck Terms," {\sl Nucl.~Sci.~Eng.}, {\bf 81}, 92 (1982).

\bibitem{gmres}
Y. Saad and M. H. Schultz, ``GMRES: A Generalized Minimal RESidual Algorithm For Solving Nonsymmetric Linear Systems", {\sl SIAM J. Sci. Stat. Comput.}, {\bf 7}, 856-869 (1986).

\bibitem{quadrupole}
E. M. Baker, ``Quadruple range quadrature verification and extension," Los Alamos National Laboratory,
Report LA--UR--07--8050, September 2006.

\bibitem{PIM}
G. Marleau and A. H\'ebert, ``Solving the Multigroup Transport Equation Using the
Power Iteration Method'',  {\sl 1985 Simulation Symposium on Reactor Dynamics and
Plant Control}, Kingston,  Ontario, April 22-23, 1985.

\bibitem{Buck}
G. Marleau and A. H\'ebert, ``Introduction of an Improved Critical Buckling
Search in WIMS'', {\sl 1986 Simulation Symposium on Reactor Dynamics and Plant
Control}, Hamilton, Ontario, April 21- 22, 1986.

\bibitem{MATXS}
R.E.~Macfarlane, ``TRANSX-CTR: A code for Interfacing MATXS Cross-Section
Libraries to Nuclear  Transport Codes for Fusion Systems Analysis'', LA-9863-MS,
Los Alamos Scientific Laboratory, New  Mexico (1984).

\bibitem{WIMS}
J.V.~Donnelly, ``WIMS-CRNL, A User's Manual for the Chalk River Version of
WIMS'', AECL-8955,  Atomic Energy of Canada Limited (1986).

\bibitem{WIMS-D}
J.R.~Askew et al., ``A General Description of the Lattice Code WIMS'', {\sl J. of British Nucl. Energy Soc.}, {\bf 5}, 564 (1966).

\bibitem{TRANSX2}
R.E.~Macfarlane, ``TRANSX-2: A Code for Interfacing MATXS Cross-Section
Libraries to Nuclear Transport Codes'', LA-12312-MS, Los Alamos Scientific
Laboratory, New  Mexico (1992).

\bibitem{DragonDataStructures}
A. H\'ebert, G.~Marleau and R.~Roy,
``A Description of the DRAGON and TRIVAC Version4 Data Structures,"
Report IGE-295, \'Ecole Polytechnique de Montr\'eal, August 2006.

\bibitem{ige260}
G. Marleau, ``New Geometries Processing in DRAGON: The NXT: Module," Technical Report IGE-260, \'Ecole 
Polytechnique de Montr\'eal (2006).

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B. G. Carlson, ``Tables of Equal Weight Quadrature $EQ_{n}$ Over the Unit Sphere," Technical Report LA-4734, 
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\bibitem{pntn}
G. Longoni, and A. Haghighat, ``Development of New Quadrature Sets with the ``Ordinate Splitting" Technique,"
M\&C-2001, American Nuclear Society Topical Meeting in Mathematics and Computations, Salt 
Lake City, Utah (2001), (Proceedings available on CD-Rom). 

\bibitem{sms}
R. Sanchez, L. Mao, and S. Santandrea, ``Treatment of Boundary Conditions in Trajectory-Based Deterministic
Transport Methods," {\sl Nucl. Sci. Eng.}, {\bf 140}, 23--50 (2002). 

\bibitem{RoyMoc1}
R.~Roy, 
``The Cyclic Characteristics Method'', 
{\sl IInt. Conf. on the Physics of Nuclear Science and Technology}, 
Long Island, New York, October 5--8, 1998,

\bibitem{RoyMoc2}
R.~Roy, 
``The Cyclic Characteristics Method with Anisotropic Scattering'', 
\textsl{M\& C'99 Mathematics and Computation, Reactor Physics and Environmental Analysis
in Nuclear Applications}, Madrid, Spain, September  27--30, 1999,

\bibitem{LCMD}
A. Leonard and C. T. McDaniel, ``Optimal Polar Angles and Weights for the
Characteristics Method," \textsl{Trans. Am. Nucl. Soc.}, \textbf{73}, 172 (1995).

\bibitem{LeTellierpa}
R. Le Tellier and A. H\'ebert, ``Anisotropy and Particle Conservation for Trajectory--Based 
Deterministic Methods," {\sl Nucl. Sci. Eng.}, {\bf 158}, 28--39 (2008).

\bibitem{CACTUS}
M.J.~Halsall, 
\textsl{CACTUS, A Characteristics Solution to the Neutron Transport 
Equation in Complicated Geometries}, 
Report AEEW-R 1291, Atomic Energy Establishment,
Winfrith (1980).

\bibitem{sapo}
R. Sanchez, ``Renormalized Treatment of the Double Heterogeneity with
the Method of Characteristics,"
{\sl Int. Mtg. on the Physics of Fuel Cycles and Advanced Nuclear Systems:
Global Developments. PHYSOR-2004}, Chicago, Illinois, April 25 -- 29, 2004.

\bibitem{BIHET}
A.~H\'ebert, ``A Collision Probability Analysis of the Double-Heterogeneity
Problem", {\sl Nucl.~Sci.~Eng.}, {\bf 115}, 177 (1993).

\bibitem{She2017}
D.~She, Z.~Liu and L.~Shi, ``An Equivalent Homogenization Method for Treating the Stochastic Media", 
{\sl Nucl.~Sci.~Eng.}, {\bf 185}, 351 (2017).

\bibitem{apollo1}
A.~Hoffmann, F.~Jeanpierre, A.~Kavenoky, M. Livolant and H. Lorain,
``APOLLO: Code Multigroupe de R\'esolution de l'\'Equation du Transport
pour les Neutrons Thermiques et Rapides'', Note CEA-N-1610, Commissariat
\`a l'\'Energie Atomique, Saclay, France (1973).

\bibitem{ALCOL}
A.~Kavenoky, ``Calcul et utilisation des probabilit\'es de premi\`ere collision
pour les milieux h\'et\'erog\`enes \`a  une dimension'', CEA-N-1077,
Commissariat \`a l'\'Energie Atomique, France (1969).

\bibitem{SANCHEZ}
R.~Sanchez, ``Quelques sch\'emas approximatifs dans la r\'esolution
par la m\'ethode des probabilit\'es de collision de l'\'equation
int\'egrale du transport \`a deux dimensions'', CEA-N-2165,
Commissariat \`a l'\'Energie Atomique, France (1980).

\bibitem{BIVAC}
A.~H\'ebert, ``Application of a Dual Variational Formulation to Finite Element
Reactor Calculations", {\sl Ann.~nucl.~Energy}, {\bf 20}, 823 (1993).

\bibitem{TRIVAC}
A.~H\'ebert, ``TRIVAC, A Modular Diffusion Code for Fuel Management and Design
Applications", {\sl Nucl. J. of Canada}, Vol. 1, No. 4, 325 (1987).

\bibitem{nse2005}
A. H\'ebert, ``The Search for Superconvergence in Spherical Harmonics Approximations,'' {\sl Nucl. Sci. Eng.}, {\bf 154}, 134 (2006).

\bibitem{ane10a}
A. H\'ebert, ``Mixed-dual implementations of the of the simplified $P_n$ method," {\sl Ann. nucl. Energy}, {\bf 37}, 498 (2010).

\bibitem{SHIBA}
A.~H\'ebert and G.~Marleau, ``Generalization of the Stamm'ler Method for the
Self-Shielding of Resonant Isotopes in Arbitrary Geometries," {\sl
Nucl.~Sci.~Eng.}, {\bf 108}, 230 (1991).

\bibitem{njoy2010}
R. E. MacFarlane and A. C. Kahler, ``Methods for Processing ENDF/B-VII with NJOY," {\sl Nuclear Data Sheets}, {\bf 111}, 2739 (2010).

\bibitem{tone}
T. Tone, ``A Numerical Study of Heterogeneity Effects in Fast Reactor Critical Assemblies," {\sl J. Nucl. Sci. Technol.}, {\bf 12[8]}, 467 (1975).

\bibitem{toronto04}
A.~H\'ebert, ``Revisiting the Stamm'ler Self-Shielding Method," paper presented at the
\textsl{25th CNS Annual Conference}, June 6--9, Toronto, 2004.

\bibitem{hasan}
H.~Saygin and  A.~H\'ebert, ``A New Self-Shielding Method Based on a Detailed
Cross-Section Representation in the Resolved Energy Domain,"
{\sl Nucl.~Sci.~Eng.}, {\bf 122}, 276 (1996).

\bibitem{coste}
M.~Coste, ``Absorption r\'esonnante des noyaux lourds dans les
r\'eseaux h\'et\'erog\`enes -- I-Formalisme du module
d'autoprotection d'APOLLO2,"
CEA-N-2746, Commissariat \`a l'\'Energie Atomique, France (1994).

\bibitem{RENOR}
R.~Roy and G.~Marleau, ``Normalization Techniques for Collision Probability
Matrices'', {\sl PHYSOR-90}, Marseille, France, April 23--27, 1990.

\bibitem{Helios}
E.A.~Vliiarino, R.J.J.~Stammler, A.A.~Ferri and J.J.~Casal, ``HELIOS: Angularly
Dependent Collision Probabilities'', {\sl
Nucl.~Sci.~Eng.}, {\bf 112}, 16-31 (1992).

\bibitem{ecco}
M. J.~Grimstone, J. D.~Tullett and G.~Rimpault, ``Accurate Treatments of
Fast Reactor Fuel Assembly Heterogeneity with the ECCO Cell Code'',
{\sl Proc. Int. Conf. on the Physics of Reactors: Operation, Design and
Computation -- PHYSOR 90}, Marseille, France, p. IX:24, April 23-27 (1990).

\bibitem{rimpault}
G.~Rimpault, ``Algorithmic Features of the ECCO Cell Code for Treating
Heterogeneous Fast Reactor Subassemblies", {\sl Int. Conf. on
Mathematics and Computations, Reactor Physics, and Environmental Analyses},
Portland, Oregon, April 30 -- May 4, 1995.

\bibitem{PIJK0}
P.~Benoist, J.~Mondot and I.~Petrovic, `Calculational and Experimental
Investigations of Void Effect -- A Simple Theoretical Model for Space-Dependent
Leakage Treatment of Heterogeneous Assemblies'', {\sl Nucl.~Sci.~Eng.}, {\bf
118}, 197 (1994).

\bibitem{PIJK}
I.~Petrovic, P.~Benoist and G.~Marleau, ``A Quasi-Isotropic Reflecting Boundary
Condition for the Heterogeneous Leakage Model Tibere'', {\sl Nucl.~Sci.~Eng.},
{\bf 122}, 151 (1996)

\bibitem{MATXS7A}
``MATXS7A - 69 Neutron Group Cross Section Library in MATXS'', DLC-117, RSIC
Data Library  Collection, Oak Ridge National Laboratory (1985).

\bibitem{WIMKAL}
J.-D. Kim, J.T. Lee, C.-S. Gil and H.R. Kim, ``Generation and Benchmarking of a 69--group Cross Section Library for Thermal Reactor Applications'', {\sl J. of the Korean Nucl. Soc.}, {\bf 21} 245 (1989).

\bibitem{JEF}
P.~Vontobel and S.~Pelloni, ``New JEF/EFF Based MATXS-Formatted Nuclear Data
Libraries", {\sl Nucl.~Sci.~Eng.}, {\bf 101}, 298 (1989).

\bibitem{ALSB1}
A.~H\'ebert, ``A Consistent Technique for the Pin-by-Pin Homogenization of a
Pressurized Water Reactor Assembly", {\sl Nucl.~Sci.~Eng.}, {\bf 113}, 227
(1993).

\bibitem{ALSB2}
A.~H\'ebert and G.~Mathonni\`ere, ``Development of a Third-Generation {\sl
Superhomog\'en\'eisation} Method for the Homogenization of a Pressurized Water
Reactor Assembly", {\sl Nucl.~Sci.~Eng.}, {\bf 115}, 129 (1993).

\bibitem{ALSB3}
A.~H\'ebert , ``Development of a Second Generation SPH Technique for the
Pin-by-Pin Homogenization of a Pressurized Water Reactor Assembly in Hexagonal
Geometry'', {\sl Trans. Am. Nucl. Soc.}, {\bf 71}, 253 (1994).

\bibitem{madrid2}
P. Blanc-Tranchant, A. Santamarina, G. Willermoz and A. H\'ebert, ``Definition and Validation of a 2-D Transport
Scheme for PWR Control Rod Clusters", paper presented at the {\sl Int. Conf. on Mathematics and Computation,
Reactor Physics and Environmental Analysis in Nuclear Applications}, Madrid, Spain, September 27--30, 1999.

\bibitem{Chambon2014}
R. Chambon, ``Specifications and User Guide for {\tt NAP:} module in DRAGON/DONJON VERSION5
(Pin Power Reconstruction module)," Report IGE-345,
\'Ecole Polytechnique de Montr\'eal,
 Institut de G\'enie Nucl\'eaire (2014).

\bibitem{sphedf}
T. Courau, M. Cometto, E. Girardi, D. Couyras and N. Schwartz, ``Elements of Validation of Pin-by-Pin Calculations with the Future EDF Calculation Scheme Based on APOLLO2 and COCAGNE Codes," Proceedings of ICAPP 08, Anaheim, CA USA, June 8--12, 2008.

\bibitem{recipie}
W.~H.~Press, B.~P.~Flannery, S.~A.~Teukolsky and W.~T.~Vetterling, ``Numerical
Recipes, Second Edition (FORTRAN Version)'', Cambridge University Press,
Cambridge (1994).

\bibitem{MRG1}
G.~Marleau, 
``Fine Mesh 3--D Collision Probability Calculations Using the Lattice Code DRAGON'',
\textsl{Int. Conf. on the Physics of Nuclear Science and Technology}, 
Long Island, New York, October 5--8, 1998,

\bibitem{MRG2}
G.~Marleau, ``New Geometric Capabilities of DRAGON'',
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