references.bib

\bibliographystyle{unsrtnat}

@book{dude,
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    title     = "Nuclear Reactor Analysis",
    year      = "1976",
    publisher = "John Wiley \& Sons, Inc.",
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}

@article{ahrens,
  title={Lagrange Discrete Ordinates: A New Angular Discretization for the Three-Dimensional Linear Boltzmann Equation},
  author={Ahrens, Cory D.},
  journal={Nuclear Science and Engineering},
  volume={180},
  number={3},
  pages={273--285},
  year={2015},
  publisher={American Nuclear Society}
}

@techreport{ldoderiv,
  title={Derivation of New 3D Discrete Ordinate Equations},
  author={Ahrens, C.D.},
  year={2012},
  institution={American Nuclear Society, Inc., 555 N. Kensington Avenue, La Grange Park, Illinois 60526 (United States)}
}

@book{reimer,
  title={Multivariate Polynomial Approximation},
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  volume={144},
  year={2012},
  publisher={Birkh{\"a}user}
}

@article{lathrop,
  title={Ray Effects in Discrete Ordinates Equations},
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}

@book{lm,
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}

@techreport{exmm,
  title={Exnihilo Transport Methods Manuals},
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  year={2015},
  month={March},
  institution={Oak Ridge National Laboratory},
  number={CASL-U-2015-0080-000, Revision 0}
}

@techreport{exum,
  title={Exnihilo Documentation: Release 6.2.0 (Dev)},
  author={Evans, Thomas and Davidson, Greg and Hamilton, Steven and Johnson, Seth and Pandya, Tara},
  year={2017},
  institution={Oak Ridge National Laboratory}
}

@book{bg,
  title={Nuclear Reactor Theory.},
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}

@unpublished{larsen,
  title={Chapter 10: Spherical Harmonic ($P_N$) and Simplified Spherical Harmonic ($SP_N$) Approximations to the Boltzmann Equation},
  author={Edward Larsen},
  institution={University of Michigan},
  howpublished={NERS 644 lecture notes}
}

@book{sph,
  title={Spherical Harmonics and Approximations on the Unit Sphere: An Introduction},
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  volume={2044},
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}

@article{cadis,
  title={Automated Variance Veduction of Monte Carlo Shielding Calculations using the Discrete Ordinates Adjoint Function},
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  year={1998},
  publisher={American Nuclear Society}
}

@inproceedings{fwcadis,
  title={Forward-weighted CADIS Method for Variance Reduction of Monte Carlo Calculations of Distributions and Multiple Localized Quantities},
  author={Wagner, John C. and Blakeman, Edward D. and Peplow, Douglas E.},
  booktitle={Proceedings of the 2009 Int. Conference on Advances in Mathematics, Computational Methods, and Reactor Physics, Saratoga Springs, NY},
  year={2009}
}

@techreport{peplow,
  title={Consistent Adjoint Driven Importance Sampling using Space, Energy, and Angle},
  author={Peplow, Douglas E. and Mosher, Scott W. and Evans, Thomas M.},
  year={2012},
  institution={Oak Ridge National Laboratory},
  number={ORNL/TM-2012/7}
}

@manual{mcnp,
	address = "Los Alamos, NM",
	author = "X-5 Monte Carlo Team",
	edition = "Volume I: Overview and Theory",
	month = "April 24",
	year = 2003,
	note = " Revised 2/1/2008",
	organization = "Los Alamos National Laboratory,",
	title = "MCNP -- A General Monte Carlo N-Particle Transport Code, Version 5",
  number = "LA-UR-03-1987",
  url = "https://laws.lanl.gov/vhosts/mcnp.lanl.gov/pdf_files/la-ur-03-1987.pdf"
}

@article{olsher, 
  title={A Practical Look at Monte Carlo Variance Reduction Methods in Radiation Shielding},
  author={Olsher, Richard H.},
  journal={Nuclear Engineering and Technology},
  volume={38},
  number={3},
  pages={225--230},
  year={2006},
  publisher={Korean Nuclear Society}
}

@techreport{advantg,
  title={ADVANTG -- An Automated Variance Reduction Parameter Generator},
  author={Mosher, S.W. and Johnson, S.R. and Bevill, A.M. and Ibrahim, A.M. and Daily, C.R. and Evans, T.M. and Wagner, J.C. and Johnson, J.O. and Grove, R.E.},
  year={2015},
  month={August},
  institution={Oak Ridge National Laboratory},
  number={ORNL/TM-2013/416, Rev. 1}
}

@misc{amd,
  author = {Advanced Micro Devices Inc.},
  title = {AMD Opteron\texttrademark\ 6300 Series Processors},
  year = {2017},
  howpublished = {\url{http://www.amd.com/en-us/products/server/opteron/6000/6300}}
}

@article{cadisom, 
  title={FW/CADIS-$\Omega$: An angle-informed hybrid method for deep-penetration radiation transport},
  author={M. Munk and R.N. Slaybaugh and Tara M. Pandya and Seth R. Johnson and T. M. Evans},
  journal={Proceedings of the PHYSOR 2016 Meeting in Sun Valley, ID},
  year={May 2016},
  publisher={American Nuclear Society},
  url={https://arxiv.org/pdf/1612.00793.pdf}
}

@phdthesis{munk,
  author       = {Madicken Munk}, 
  title        = {FW/CADIS-$\Omega$: An Angle-Informed Hybrid Method for Neutron Transport},
  school       = {University of California, Berkeley},
  year         = 2017
}

@article{avatar,
  title = {AVATAR -- Automatic variance reduction in {Monte} {Carlo} calculations},
  url = {http://www.osti.gov/scitech/biblio/527548},
  author = {Van Riper, Kenneth A. and Urbatsch, Todd J. and Soran, Patrick D. and Parsons, D. Kent and Morel, Jim E. and McKinney, Gregg W. and Lee, Stephen R. and Crotzer, Laura A. and Brinkley, Forrest W. and Anderson, Jacob W. and Alcouffe, Raymond E.},
  year = {October 1997},
  journal={Proceedings of the Joint International Conference on Mathematical Methods \& Supercomputing for Nuclear Applications in Saratoga Springs, NY},
  publisher={American Nuclear Society}
}

@article{clww,
  title = {Automated weight windows for global {Monte} {Carlo} particle transport calculations},
  volume = {137},
  url = {http://www.ans.org/pubs/journals/nse/a_2171},
  number = {1},
  journal = {Nuclear science and engineering},
  author = {Cooper, Marc A. and Larsen, Edward W.},
  year = {2001},
  pages = {1--13}
}

@article{lift1,
  title = {Automatic variance reduction for three-dimensional {Monte} {Carlo} simulations by the local importance function transform-{I}: {Analysis}},
  volume = {127},
  url = {https://doi.org/10.13182/NSE127-22},
  number = {1},
  journal = {Nuclear Science and Engineering},
  author = {Turner, Scott A. and Larsen, Edward W.},
  year = {1997},
  pages = {22--35}
}

@article{lift2,
  title = {Automatic variance reduction for three-dimensional {Monte} {Carlo} simulations by the local importance function transform-{II}: {Numerical Results}},
  volume = {127},
  url = {https://doi.org/10.13182/NSE127-36},
  number = {1},
  journal = {Nuclear Science and Engineering},
  author = {Turner, Scott A. and Larsen, Edward W.},
  year = {1997},
  pages = {36--53}
}

@article{wilsonslaybaugh,
  title={{Improved Monte Carlo Variance Reduction for Space and Energy Self-Shielding}},
  author={Wilson, S.C. and Slaybaugh, R.N.},
  journal={Nuclear Science and Engineering},
  volume={179},
  number={1},
  pages={22--41},
  year={2015},
  url= {https://doi.org/10.13182/NSE13-109}
}

@techreport{threedant,
  title={{THREEDANT: A Code To Perform Three-Dimensional, Neutral Particle Transport Calculations}},
  author={Alcouffe, Raymond E.},
  year={1994},
  institution={Los Alamos National Laboratory},
  number={LA-UR-94-3259}
}

@techreport{partisn,
  title={{PARTISN: A Time-Dependent, Parallel Neutral Particle Transport Code System}},
  author={Alcouffe, Ray E. and Baker, Randal S. and Dahl, Jon A. and Turner, Scott A. and Ward, Robert},
  institution={Los Alamos National Laboratory},
  year={May 2005},
  number={LA-UR-05-3925}
}

@techreport{sweepsources,
  title={{Refactoring of Sweep Sources in Denovo (Rev. 3)}},
  author={Greg Davidson and Tom Evans},
  year={November 28, 2016},
  institution={Oak Ridge National Laboratory},
  number={NMDS-10-004}
}

@article{denovo,
  title={{Denovo: A new three-dimensional parallel discrete ordinates code in SCALE}},
  author={Evans, Thomas M. and Stafford, Alissa S. and Slaybaugh, Rachel N. and Clarno, Kevin T.},
  journal={Nuclear Technology},
  volume={171},
  number={2},
  pages={171--200},
  year={2010},
  url={https://doi.org/10.13182/NT171-171}
}

@misc{wom,
  author = {Rob Womersley},
  title = {Extremal (Maximum Determinant) points on the sphere $S^2$},
  howpublished = {\url{http://web.maths.unsw.edu.au/~rsw/Sphere/Extremal/New/index.html}}
}

@manual{scale,
  title={{SCALE Code System}},
  organization={Oak Ridge National Laboratory},
  editor={B. T. Rearden and M. A. Jessee},
  number={ORNL/TM-2005/39, Version 6.2.1},
  year={2016},
  note={{Available from Radiation Safety Information Computational Center as CCC-834.}}
}

@techreport{pnnl,
  title={{Compendium of Material Composition Data for Radiation Transport Modeling}},
  author={McConn, Ronald J. and Gesh, Christopher J. and Pagh, Richard T. and Rucker, Robert A. and Williams III, Robert},
  year={2011},
  institution={Pacific Northwest National Laboratory (PNNL), Richland, WA (US)},
  url={https://doi.org/10.2172/1023125},
  number={PIET-43741-TM-963, PNNL-15870 Rev. 1}
}

@inproceedings{ldfe,
  title={{Discrete-Ordinates Quadrature Sets Based on Linear Discontinuous Finite Elements}},
  author={Jarrell, Joshua J. and Adams, Marvin L.},
  booktitle={International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M\&C 2011), Rio de Janeiro, RJ, Brazil},
  year={2011}
}

@article{sw-dlvn,
  title={{Deterministic Parameter Study for Fixed-Source Calculations Using \fwc}},
  author={Slaybaugh, R. N. and Wilson, S. C.},
  journal={Trans. Am. Nucl. Soc},
  volume={108},
  pages={441},
  year={2013}
}

@article{j-dlvn,
  title={{Application of Quadruple Range Quadratures to Three-Dimensional Model Shielding Problems}},
  author={Jarrell, Joshua J. and Adams, Marvin L. and Risner, Joel M.},
  journal={Nuclear Technology},
  volume={168},
  number={2},
  pages={424--430},
  year={2009},
  publisher={Taylor \& Francis}
}

@inproceedings{dlvn1991,
  title={{Benchmark measurements and Calculations of a Three-Dimensional Neutron Streaming Experiment}},
  author={Barnett Jr., Douglas Allen},
  booktitle={International Topical Meeting on Advances in Mathematics, Computations, and Reactor Physics, Pittsburgh, PA, USA},
  year={1991},
  institution={Knolls Atomic Power Lab., Schenectady, NY (USA)}
}

@article{pincell,
  title={{Analysis of the Rowlands Uranium Oxide Pin-Cell Benchmark with an Updated WIMS-D Library}},
  author={Trkov, Andrej},
  journal={Annals of Nuclear Energy},
  volume={25},
  number={10},
  pages={747--752},
  year={1998},
  publisher={Elsevier}
}

@inproceedings{sinbad,
  title={{SINBAD Shielding Benchmark Experiments Status and Planned Activities}},
  author={Kodeli, I. and Sartori, E. and Kirk, B.},
  booktitle={The American Nuclear Society's 14th Biennial Topical Meeting of the Radiation Protection and Shielding Division, Carlsbad, New Mexico, USA},
  year={2006},
  organization={Citeseer}
}

@article{morel,
  title={{A Hybrid Collocation-Galerkin-\sn Method for Solving the Boltzmann Transport Equation}},
  author={Morel, J. E.},
  journal={Nuclear Science and Engineering},
  volume={101},
  number={1},
  pages={72--87},
  year={1989}
}

@misc{endf,
  author = {International Atomic Energy Agency},
  title = {Evaluated Nuclear Data File (ENDF)},
  year = {2018},
  howpublished = {\url{https://www-nds.iaea.org/exfor/endf.htm}}
}

@article{eurac,
  title={{Fission Neutron Penetration in Iron and Sodium -- I. Activation Measurements}},
  author={Nicks, R. and Perlini, G. and Rief, H.},
  journal={Annals of Nuclear Energy},
  volume={15},
  number={9},
  pages={457--469},
  year={1988},
  publisher={Elsevier}
}

@article{s32xs,
  title={{Average Cross Section of the \ce{^{32}S}(n,p)\ce{^{32}P} and \ce{^{27}Al} (n, $\alpha$)\ce{^{24}Na} Reactions for Fission Neutrons}},
  author={Depuydt, H. and de Mevergnies, M. Neve},
  journal={Journal of Nuclear Energy. Parts A/B. Reactor Science and Technology},
  volume={16},
  number={9},
  pages={447--453},
  year={1962},
  publisher={Elsevier}
}

@misc{savio,
  author = {Berkeley Research Computing},
  title = {System Overview},
  year = {2018},
  howpublished = {\url{http://research-it.berkeley.edu/services/high-performance-computing/system-overview}}
}