T. E. Booth, Power Iteration Method for the Several Largest Eigenvalues and Eigenfunctions, Nucl. Sci. Eng, vol.154, p.48, 2006.

,

G. B. Bruna and A. Sargeni, A Computational Technique for Evaluating Eigenfunctions of Symmetrical Nuclear Systems, Ann. Nucl. Energy, vol.21, p.745, 1994.

,

G. Rimpault, ERANOS Code and Data System for Fast Reactor Neutronic Analyses, Proc. PHYSOR, 2002.

R. S. Modak and A. Gupta, Use of a New Boundary Condition in Computational Neutron Transport, Nucl. Sci. Eng, vol.163, p.263, 2009.

,

Y. Kato, Analysis of First-Harmonic Eigenvalue Separation Experiments on KUCA Coupled Core, J. Nucl. Sci. Technol, vol.35, p.216, 1998.

,

D. E. Kornreich and D. K. Parsons, Diffusion and Transport Analysis of Higher Mode Eigensystems, Proc. Int. Conf. Nuclear Mathematical and Computational Sciences, 2003.

F. Varaine, Pre-Conceptual Design Study of ASTRID Core, Proc. Int. Congress Advances in Nuclear Power Plants (ICAPP), 2012.

R. Le-tellier, High-Order Discrete Ordinate Transport in Hexagonal Geometry: A New Capability in ERANOS, Il Nuovo Cimento C, vol.33, p.121, 2010.

,

R. Le-tellier, D. Fournier, and C. Suteau, Reactivity Perturbation Formulation for a Discontinuous Galerkin-Based Transport Solver and Its Use with Adaptive Mesh Refinement, Nucl. Sci. Eng, vol.167, p.209, 2011.

,

J. Tommasi, M. Maillot, and G. Rimpault, Calculation of Higher-Order Fluxes in Symmetric Cores-I: Theory, Nucl. Sci. Eng, vol.184, p.174, 2016.
URL : https://hal.archives-ouvertes.fr/cea-02387094

,

L. M. Cureton and J. R. Kuttler, Eigenvalues of the Laplacian on Regular Polygons and Polygons Resulting from Their Disection, J. Sound Vib, vol.220, p.83, 1999.

,

T. Kitada and T. Takeda, Evaluation of Eigenvalue Separation by the Monte Carlo Method, J. Nucl. Sci. Technol, vol.39, p.129, 2002.

,

S. Carney, Theory and Application of the Fission Matrix Method for Continuous-Energy Monte-Carlo

. Nucl and . Energy, , vol.73, p.423, 2014.

,

T. Takeda and H. Ikeda, NEACRP-L-330, Organisation for Economic Co-operation and Development/Nuclear Energy Agency, Committee on Reactor Physics, 1991.

E. Brun, Ann. Nucl. Energy, vol.82, p.151, 2015.

,

J. Palau, Recent Advances in the V&V of the New French CEA APOLLO3® Neutron Transport Code: Benchmarks Analysis of the Flux Solvers, Proc. Int. Conf. PHYSOR 2014, 2014.

A. Sargeni, K. W. Burn, and G. B. Bruna, Coupling Effects in Large Reactor Cores: The Impact of Heavy and Conventional Reflectors on Power Distribution Perturbations, Proc. Int. Conf. PHYSOR 2014, 2014.

G. Rimpault, Flux Harmonics in Large SFR Cores in Relation with Core Characteristics Such as Power Peaks, Proc. Int. Conf. Nuclear Mathematical and Computational Sciences (M&C 2013), 2013.

G. Verdu, 3D -Modes of the Neutron-Diffusion Equation, Ann. Nucl. Energy, vol.21, p.405, 1994.

, , pp.90041-90049

T. Sanda, M. Ishikawa, and R. M. Lell, ZPPR-18A Experiment: A 1,000 MWe-Class Sodium-Cooled MOX-Fueled FBR Core Mock-Up Critical Experiment with Two-Homogeneous Zones and Control-Rod Withdrawal, Where Enriched Uranium Is Used with the Shape of a Sector in the Outer Core, vol.1, 2006.

T. Sanda, M. Ishikawa, and R. D. Mcknight, ZPPR-18C Experiment: A 1,000 MWe-Class Sodium-Cooled MOX-Fueled FBR Homogeneous Core Mock-Up Critical Experiment in the State of Removal of One of Eighteen Half-Inserted Control Rods, Where Enriched Uranium is Used with the Shape of a Sector in the Outer Core, Nuclear Science Committee, vol.1, 2006.

T. Sanda, F. Nakashima, and K. Shirakata, Neutronic Decoupling and Space-Dependent Nuclear Characteristics for Large Liquid-Metal Fast Breeder Reactor Cores, Nucl. Sci. Eng, vol.113, p.97, 1993.

E. E. Lewis, M. A. Smith, and G. Palmiotti, The Variational Nodal Method: Some History and Recent Activity, Proc. Int. Conf. Nuclear Mathematical and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications, 2005.