references-dissertation.bib

@manual{williams1996,
	author =		"Toth, L. M. and Gat, U. and Del Cul, G. D. and Dai, S. and Williams, D. F.",
	title = 		"Review of ORNL's MSR Technology and Status",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL-960639-6",
	year = 		"1996"
}

@article{engel1970,
	author =		"Paul N. Haubenreich and J. R. Engel",
	title = 		"Experience with the Molten-Salt Reactor Experiment",
	journal = 	   	"Nuclear application and Technology",
	volume = 		"8",
	pages = 		"118--136",
	year = 		"1970"
}

@manual{grimes1975,
	author =		"E. L. Compere and S. S. Kirslis and E. G. Bohlmann and F. F. Blankenship and W. R. Grimes",
	title = 		"Fission Product Behavior in the Molten Salt Reactor Experiment",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--4865",
	year = 		"1975"
}

@article{powers2016,
	author =		"Jess C. Gehin and Jeffrey J. Powers",
	title = 		"Liquid Fuel Molten Salt Reactors for Thorium Utilization",
	journal = 	   	"Nuclear Technology",
	volume = 		"194",
	number = 		"2",
	pages = 		"152--161",
	year = 		"2016"
}

@article{grimes1970,
	author =		"W. R. Grimes",
	title = 		"Molten-Salt Reactor Chemistry",
	journal = 	   	"Nuclear application and Technology",
	volume = 		"8",
	pages = 		"137--155",
	year = 		"1970"
}

@article{baes1974,
	author =		"C. F. Baes, Jr.",
	title = 		"The Chemistry and Thermodynamics of Molten Salt Reactor Fuels",
	journal = 	   	"Journal of Nuclear Materials",
	volume = 		"51",
	pages = 		"149--162",
	year = 		"1974"
}

@manual{kedl1972,
	author =		"R. J. Kedl",
	title = 		"The Migration of a Class of Fission Products (Noble Metals) in the Molten-Salt Reactor Experiment",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--3884",
	year = 		"1972"
}

@manual{watts1972,
	author =		"E. S. Bettis and L. G. Alexander and H. L. Watts",
	title = 		"Design Studies of a Molten-Salt Reactor Demonstration Pant",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--TM--3832",
	year = 		"1972"
}

@manual{robertson1971,
	author =		"R. J. Robertson",
	title = 		"Conceptual Design Study of a Single-Fluid Molten-Salt Breeder Reactor",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--4541",
	year = 		"1971"
}

@book{deen2016,
	author =		"William M. Deen",
	title = 		"Analysis of Transport Phenomena",
	edition=		"2",
	publisher=		"Oxford University Press.",
	address = 	"New York",
	year = 		"2016"
}

@manual{houtzeel1967,
	author =		"R. J. Kedl and A. Houtzeel",
	title = 		"Development of a Model for Computing ${}^{135}Xe$ Migration in the MSRE",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--4069",
	year = 		"1967"
}

@book{bird2006,
	author =		"R. Byron Bird and Warren E. Stewart and Edwin N. Lightfoot",
	title = 		"Transport Phenomena",
	edition=		"Revised 2",
	publisher=		"John Wiley and Sons, Inc.",
	address = 	"New York",
	year = 		"2006"
}

@book{wilson1969,
	author =		"James R. Welty and Charles E.  Wicks and Robert E. Wilson",
	title = 		"Fundamentals of Momentum Heat and Mass Transfer",
	publisher=		"John Wiley and Sons, Inc.",
	address = 	"New York",
	year = 		"1969"
}

@manual{engel1971,
	author =		"J. R. Engel and R. C. Steffy",
	title = 		"Xenon Behavior in the Molten Salt Reactor Experiment",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--TM--3464",
	year = 		"1971"
}

@manual{kedl1967,
	author =		"R. J. Kedl",
	title = 		"A Model for Computing the Migration of Very Short-Lived Noble Gases into MSRE Graphite",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--TM--1810",
	year = 		"1967"
}

@manual{peebles1968,
	author =		"R. N. Peebles",
	title = 		"Removal of Xenon-135 from Circulating Fuel Salt of the MSBR by Mass Transfer to Helium Bubbles",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--TM--2245",
	year = 		"1968"
}

@manual{houtzeel1970,
	author =		"J. R. Engel and P. N. Haubenreich and A. Houtzeel",
	title = 		"Spray, MIST, Bubbles, and Foam in the Molten Salt Reactor Experiment",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--TM--3027",
	year = 		"1970"
}

@manual{steffy1969,
	author =		"J. R. Engel and R. C. Steffy",
	title = 		"Molten-Salt Reactor Program Semiannual Progress Report for Period Ending August 31,1969",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--4449",
	pages = 		"8-10",
	year = 		"1969"
}

@manual{watson1962,
	author =		"G. M. Watson and R. B. Evans",
	title = 		"Xenon Diffusion in Graphite: Effects of Xenon Absorption in Molten Salt Reactors Containing Graphite",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--TM--262",
	year = 		"1962"
}

@article{olander2002,
	author =		"D. Olander",
	title = 		"Redox Condition of Molten Fluoride Salts Definition and Control",
	journal = 	   	"Journal of Nuclear Materials",
	volume = 		"300",
	pages = 		"270--272",
	year = 		"2002"
}

@inbook{sarma2007,
	author = "Viswanatha, R. and Sarma, D. D.",
	publisher = "Wiley-Blackwell",
	title = "Growth of Nanocrystals in Solution",
	booktitle = "Nanomaterials Chemistry",
	chapter = "4",
	pages = "139-170",
	year = "2007",

}

@article{mahiddine2014,
	author =		"D. Olander",
	title = 		"Mechanisms of Nucleation and Growth of Nanoparticles in Solution",
	journal = 	   	"Chemical Reviews",
	volume = 		"114",
	pages = 		"7610--7630",
	year = 		"2014"
}

@book{perry2007,
	author =		"Don W. Green and Robert H. Perry",
	title = 		"Perry's Chemical Engineers' Handbook",
	edition=		"8th",
	publisher=		"McGraw Hill Professional",
	address = 	"New York",
	year = 		"2007"
}

@book{asano2006,
	author =		"Koichi Asano",
	title = 		"Mass Transfer. From Fundamentals to Modern Industrial Applications.",
	publisher=		"Wiley-VCH Werlang CmbH and C. KGaA",
	address = 	"Weinheim",
	year = 		"2006"
}

@book{kazimi1990,
    author = "Neil E. Todreas and Mujid S. Kazimi",
    title = "NUCLEAR SYSTEMS I Thermal Hydraulic Fundamentals",
    publisher = "Hemisphere Publishing Corporation.",
    year = "1990"
}

@MANUAL{salko2017,
    title = {CTF Theory Manual},
    author="R. Salko and A. Wysocki and M. Avramova and A. Toptan and N. Porter and T. Blyth and C. Dances and A. Gomez and C. Jernigan and J. Kelly",
    year="2017",
    organization="The North Carolina State University"
}

@book{versteeg2007,
    author = "H K Versteeg and W Malalasekera",
    title = "An Introduction to Computational Fluid Dynamics The Finite Volume Method",
    edition = "2nd",
    publisher = "Pearson Prentice Hall",
    year = "2007"
}

@manual{nestor1960,
	author =		"C. W. Nestor",
	title = 		"Reactor Physics Calculations for the MSRE",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--60-7-96",
	year = 		"1960"
}
@manual{baes1965,
	author =		"C. F. Baes",
	title = 		"The Chemistry and Thermodynamics of Molten Salt Reactor Fluoride Solutions",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL-p-1428",
	year = 		"1965"
}
@manual{cantor1968,
	author =		"S. Cantor and J. W. Cooke and A. S. Dworkin and G. D. Robbins and R. E. Thoma and G. M. Watson",
	title = 		"Physical Properties of Molten-Salt Reactor Fuel, Coolant, and Flush Salts",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL-TM-2316",
	year = 		"1968"
}
@manual{prince1962,
	author =		"B. E. Prince and J. R. Engel",
	title = 		"Temperature and Reactivity Coefficient Averaging in the MSRE",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL-TM-1962",
	year = 		"1962"
}
@manual{bell1970,
	author =		"M. J. Bell",
	title = 		"Calculated Radioactivity of MSRE Fuel Salt",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL-TM-2970",
	year = 		"1970"
}

@article{cammi2011,
    title = "A multi-physics modelling approach to the dynamics of Molten Salt Reactors",
    journal = "Annals of Nuclear Energy",
    volume = "38",
    number = "6",
    pages = "1356 - 1372",
    year = "2011",
    issn = "0306-4549",
    doi = "https://doi.org/10.1016/j.anucene.2011.01.037",
    url = "http://www.sciencedirect.com/science/article/pii/S0306454911000582",
    author = "Antonio Cammi and Valentino Di Marcello and Lelio Luzzi and Vito Memoli and Marco Enrico Ricotti",
}

@phdthesis{benes2008,
  author       = "Ondrej Benes", 
  title        = "Thermodynamics of Molten Salts of Nuclear Applications",
  school       = "Institute of chemical technology, Prague",
  year         = "2008",
  url = "http://publications.jrc.ec.europa.eu/repository/handle/JRC50490",
  note         = "European Commission - Joint Research Centre - Institute for Transuranium Elements"
}

@article{eades2016,
    title = "The influence of Xe-135m on steady-state xenon worth in thermal molten salt reactors",
    journal = "Progress in Nuclear Energy",
    volume = "93",
    pages = "397 - 405",
    year = "2016",
    issn = "0149-1970",
    doi = "https://doi.org/10.1016/j.pnucene.2016.09.010",
    url = "http://www.sciencedirect.com/science/article/pii/S0149197016302116",
    author = "Michael J. Eades and Ethan S. Chaleff and Paolo F. Venneri and Thomas E. Blue",
}

@article{wu2017,
    title = "Flow effect on 135I and 135Xe evolution behavior in a molten salt reactor",
    journal = "Nuclear Engineering and Design",
    volume = "314",
    pages = "318 - 325",
    year = "2017",
    issn = "0029-5493",
    doi = "https://doi.org/10.1016/j.nucengdes.2017.01.019",
    url = "http://www.sciencedirect.com/science/article/pii/S0029549317300195",
    author = "Jianhui Wu and Chen Guo and Xiangzhou Cai and Chenggang Yu and Chunyan Zou and Jianlong Han and Jingen Chen",
}

@article{zack2018,
     author  = 		"Zack Taylor and Robert Salko and Ben Collins and Ivan Maldonado",
     title   = 			"Implementation of General Species Transport into VERA-CS for Molten Salt Reactor Analysis",
     volume = "118",
     number = "2",
     journal = 		"Transactions of the American Nuclear Society",
     year    = 		"2018"
}
@book{duderstadt1976,
    author = "James J. Duderstadt and Louis J. Hamilton",
    title = "Nuclear Reactor Analysis",
    publisher = "John Wiley and Sons",
    year = "1976"
}
@manual{fissionBasics,
  author = "AJ Software and Multimedia",
  title = "Nuclear fission basics",
  year = 2015,
  url = "http://www.atomicarchive.com/Fission/Fission1.shtml",
  urldate = {2019-03-6}
}
@manual{casl,
  author = "The Consortium for Advanced Simulation of Light Water Reactors",
  title = "CASL home page",
  year = 2019,
  url = "https://www.casl.gov/",
  urldate = {2019-03-6}
}
@article{piro2013,
	author =		"M.H.A. Piro and S. Simunovic and T.M. Besmann and B.J. Lewis and W.T. Thompson",
	title = 		"The thermochemistry library Thermochimica",
	journal = 	   	"Computational Materials science",
	volume = 		"67",
	pages = 		"266--272",
	year = 		"2013"
}
@misc{cole2019,
  author = "Gentry, Cole",
  date = "2017",
  howpublished = "personal communication with Cole Gentry. Calculation was done in MPACT using a single pin cell model"
}

@article{pusa2010,
author = {Maria Pusa and Jaakko Leppänen},
title = {Computing the Matrix Exponential in Burnup Calculations},
journal = {Nuclear Science and Engineering},
volume = {164},
number = {2},
pages = {140-150},
year  = {2010},
publisher = {Taylor & Francis},
doi = {10.13182/NSE09-14},
URL = {https://doi.org/10.13182/NSE09-14},
eprint = {https://doi.org/10.13182/NSE09-14}
}

@article{moler2003,
author = {Moler, C. and Van Loan, C.},
title = {Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later},
journal = {SIAM Review},
volume = {45},
number = {1},
pages = {3-49},
year = {2003},
doi = {10.1137/S00361445024180},
URL = {https://doi.org/10.1137/S00361445024180},
eprint = {https://doi.org/10.1137/S00361445024180}
}

@article{isotalo2015,
title = "A method for including external feed in depletion calculations with CRAM and implementation into ORIGEN",
journal = "Annals of Nuclear Energy",
volume = "85",
pages = "68 - 77",
year = "2015",
issn = "0306-4549",
doi = "https://doi.org/10.1016/j.anucene.2015.04.037",
url = "http://www.sciencedirect.com/science/article/pii/S0306454915002455",
author = "A.E. Isotalo and W.A. Wieselquist",
}

@article{pusa2011,
author = {Maria Pusa},
title = {Rational Approximations to the Matrix Exponential in Burnup Calculations},
journal = {Nuclear Science and Engineering},
volume = {169},
number = {2},
pages = {155-167},
year  = {2011},
publisher = {Taylor & Francis},
doi = {10.13182/NSE10-81},
URL = {https://doi.org/10.13182/NSE10-81},
eprint = {https://doi.org/10.13182/NSE10-81}
}

@phdthesis{pusaThesis,
title = "Numerical methods for nuclear fuel burnup calculations: Dissertation",
keywords = "burnup equations, Chebyshev rational approximation, CRAM, matrix exponential, sensitivity analysis, uncertainty analysis",
author = "Maria Pusa",
year = "2013",
language = "English",
isbn = "978-951-38-7999-0",
series = "VTT Science",
publisher = "VTT Technical Research Centre of Finland",
number = "32",
address = "Finland",
school = "Aalto University",
}

@Article{Trefethen2006,
author="Trefethen, L. N.
and Weideman, J. A. C.
and Schmelzer, T.",
title="Talbot quadratures and rational approximations",
journal="BIT Numerical Mathematics",
year="2006",
month="Sep",
day="01",
volume="46",
number="3",
pages="653--670",
issn="1572-9125",
doi="10.1007/s10543-006-0077-9",
url="https://doi.org/10.1007/s10543-006-0077-9"
}

@misc{andreasThesis,
note= "Bachelor's Thesis",
title = "Computational Modeling of the Flow Field in a Molten Salt Reactor Core",
author = "Andreas van Wijk",
year = "2008",
language = "English",
publisher = "Delft University of Technology",
school = "Delft University of Technology",
}

@article{ash2009,
title = "Comparison of methods for evaluating functions of a matrix exponential",
journal = "Applied Numerical Mathematics",
volume = "59",
number = "3",
pages = "468 - 486",
year = "2009",
note = "Selected Papers from NUMDIFF-11",
issn = "0168-9274",
doi = "https://doi.org/10.1016/j.apnum.2008.03.039",
url = "http://www.sciencedirect.com/science/article/pii/S0168927408000408",
author = "H.A. Ashi and L.J. Cummings and P.C. Matthews",
keywords = "Matrix exponential, Stiff differential equations, Exponential integrators, Exponential time differencing methods",
}

@inbook{ODECh82011,
author = "Kendall Atkinson and Weimin Han and David Stewart",
publisher = {John Wiley \& Sons, Ltd},
isbn = {9781118164495},
title = {Stiff differential equations},
booktitle = {Numerical Solution of Ordinary Differential Equations},
chapter = {8},
pages = {127-148},
doi = {10.1002/9781118164495.ch8},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/9781118164495.ch8},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/9781118164495.ch8},
year = {2011},
keywords = {stiff differential equations, parabolic equation, backward differentiation formulas, multistep methods, time-varying problems},
abstract = {Summary This chapter contains sections titled: The method of lines for a parabolic equation Backward differentiation formulas Stability regions for multistep methods Additional sources of difficulty Solving the finite-difference method Computer codes}
}

@article{cox2002,
title = "Exponential Time Differencing for Stiff Systems",
journal = "Journal of Computational Physics",
volume = "176",
number = "2",
pages = "430 - 455",
year = "2002",
issn = "0021-9991",
doi = "https://doi.org/10.1006/jcph.2002.6995",
url = "http://www.sciencedirect.com/science/article/pii/S0021999102969950",
author = "S.M. Cox and P.C. Matthews",
}

@article{bratsos2019,
title = "An exponential time differencing method of lines for Burgersâ-Fisher and coupled Burgers equations",
journal = "Journal of Computational and Applied Mathematics",
volume = "356",
pages = "182 - 197",
year = "2019",
issn = "0377-0427",
doi = "https://doi.org/10.1016/j.cam.2019.01.028",
url = "http://www.sciencedirect.com/science/article/pii/S0377042719300445",
author = "A.G. Bratsos and A.Q.M. Khaliq"
}

@ARTICLE{Kassam2005,
    author = {Aly-khan Kassam and Lloyd N. Trefethen},
    title = {Fourth-order time stepping for stiff PDEs},
    journal = {SIAM J. SCI. COMPUT},
    year = {2005},
    volume = {26},
    pages = {1214--1233}
}

@article{exokit,
author = {Sidje, Roger},
year = {1998},
month = {03},
pages = {130-156},
title = {Expokit: A Software Package for Computing Matrix Exponentials},
volume = {24},
journal = {ACM Trans. Math. Softw.},
doi = {10.1145/285861.285868}
}

@article{higham2005,
author = {Higham, Nicholas J.},
title = {The Scaling and Squaring Method for the Matrix Exponential Revisited},
journal = {SIAM Journal on Matrix Analysis and Applications},
volume = {26},
number = {4},
pages = {1179-1193},
year = {2005},
doi = {10.1137/04061101X},
URL = {https://doi.org/10.1137/04061101X},
eprint = {https://doi.org/10.1137/04061101X}
}

@article{higham2009,
author = {Al-Mohy, Awad and Higham, Nicholas},
year = {2009},
month = {01},
pages = {},
title = {A New Scaling and Squaring Algorithm for the Matrix Exponential},
volume = {31},
journal = {SIAM Journal on Matrix Analysis and Applications},
doi = {10.1137/09074721X}
}

@article{bratsos2015,
author = {Bratsos, A. and Khaliq, A Q.},
year = {2015},
month = {09},
pages = {1-25},
title = {A conservative Exponential Time Differencing method for the nonlinear cubic Schrödinger equation},
volume = {94},
journal = {International Journal of Computer Mathematics},
doi = {10.1080/00207160.2015.1101458}
}

@article{saad1992,
 ISSN = {00361429},
 URL = {http://www.jstor.org/stable/2158085},
 author = {Y. Saad},
 journal = {SIAM Journal on Numerical Analysis},
 number = {1},
 pages = {209--228},
 publisher = {Society for Industrial and Applied Mathematics},
 title = {Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator},
 volume = {29},
 year = {1992}
}

@inproceedings{saad1989,
  title={On the parallel solution of parabolic equations},
  author={Efstratios Gallopoulos and Yousef Saad},
  booktitle={ICS '89},
  year={1989}
}

@article{akio2007,
author = {YAMAMOTO, Akio and TATSUMI, Masahiro and Sugimura, Naoki},
year = {2007},
month = {02},
pages = {147-154},
title = {Numerical Solution of Stiff Burnup Equation with Short Half Lived Nuclides by the Krylov Subspace Method},
volume = {44},
journal = {Journal of Nuclear Science and Technology - J NUCL SCI TECHNOL},
doi = {10.1080/18811248.2007.9711268}
}

@inbook{staceyFuelBurnup,
publisher = {John Wiley \& Sons, Ltd},
isbn = {9783527611041},
title = {Fuel Burnup},
booktitle = {Nuclear Reactor Physics},
chapter = {6},
pages = {197-247},
doi = {10.1002/9783527611041.ch6},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/9783527611041.ch6},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/9783527611041.ch6},
year = {2007}
}

@book{millerCompTransport,
title = {Computational methods of neutron transport},
author = {Lewis, E.E. and Miller, W.F.},
publisher = {John Wiley \& Sons, Ltd},
place = {United States},
year = {1984},
month = {1}
}

@phdthesis{aarnoThesis,
title = "Computational Methods for Burnup Calculations with Monte Carlo Neutronics",
author = "Aarno Isotalo",
year = "2013",
language = "English",
isbn = "978-952-60-5398-1",
address = "Finland",
school = "Aalto University",
}

@article{isotalo2011,
title = "Comparison of depletion algorithms for large systems of nuclides",
journal = "Annals of Nuclear Energy",
volume = "38",
number = "2",
pages = "261 - 268",
year = "2011",
issn = "0306-4549",
doi = "https://doi.org/10.1016/j.anucene.2010.10.019",
url = "http://www.sciencedirect.com/science/article/pii/S0306454910003889",
author = "A.E. Isotalo and P.A. Aarnio"
}
@MastersThesis{zackThesis,
    author     =     {Robert Zachary Taylor},
    title     =     {Implementation of Multi-phase Species Transport into VERA-CS for Molten Salt Reactor Analysis},
    school     =     {University of Tennessee},
    address     =     {Knoxville},
    year     =     {2019},
    }
    
@article{xia2019,
title = "Development of a Molten Salt Reactor specific depletion code MODEC",
journal = "Annals of Nuclear Energy",
volume = "124",
pages = "88 - 97",
year = "2019",
issn = "0306-4549",
doi = "https://doi.org/10.1016/j.anucene.2018.09.032",
url = "http://www.sciencedirect.com/science/article/pii/S0306454918305139",
author = "Shaopeng Xia and Jingen Chen and Wei Guo and Deyang Cui and Jianlong Han and Jianhui Wu and Xiangzhou Cai"
}

@article{pusa2013,
author = {Maria Pusa and Jaakko Leppänen},
title = {Solving Linear Systems with Sparse Gaussian Elimination in the Chebyshev Rational Approximation Method},
journal = {Nuclear Science and Engineering},
volume = {175},
number = {3},
pages = {250-258},
year  = {2013},
publisher = {Taylor & Francis},
doi = {10.13182/NSE12-52},
URL = {https://doi.org/10.13182/NSE12-52},
eprint = {https://doi.org/10.13182/NSE12-52}
}

@manual{scaleManual,
	Address = {Oak Ridge, Tennessee},
	Author = {W. A. Wieselquist and R. A. Lefebvre and M. A. Jessee and Eds.},
	organization = {Oak Ridge National Laboratory},
	note = {ORNL/TM-2005/39, Version 6.2.4, Available from Radiation Safety Information Computational Center as CCC-834},
	Title = {SCALE Code System},
	Year = {2020}
}

@ARTICLE{hamdi2007,
AUTHOR = {Hamdi, S.  and Schiesser, W. E. and Griffiths, G. W},
TITLE   = {{M}ethod of lines},
YEAR    = {2007},
JOURNAL = {Scholarpedia},
VOLUME  = {2},
NUMBER  = {7},
PAGES   = {2859},
DOI     = {10.4249/scholarpedia.2859},
NOTE    = {revision \#124335}
}

@article{sweby1984,
 ISSN = {00361429},
 URL = {http://www.jstor.org/stable/2156939},
 author = {P. K. Sweby},
 journal = {SIAM Journal on Numerical Analysis},
 number = {5},
 pages = {995--1011},
 publisher = {Society for Industrial and Applied Mathematics},
 title = {High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws},
 volume = {21},
 year = {1984}
}

@article{isotalo2016,
author = {Isotalo, Aarno and Pusa, Maria},
year = {2016},
month = {05},
pages = {},
title = {Improving the Accuracy of the Chebyshev Rational Approximation Method Using Substeps},
volume = {183},
journal = {Nuclear Science and Engineering},
doi = {10.13182/NSE15-67}
}

 @MISC{eigen,
  author = {Ga\"{e}l Guennebaud and Beno\^{i}t Jacob and others},
  title = {Eigen v3},
  howpublished = {http://eigen.tuxfamily.org},
  year = {2010}
 }
 
 @article{superlu99, 
    author  = {James W. Demmel and Stanley C. Eisenstat and 
               John R. Gilbert and Xiaoye S. Li and Joseph W. H. Liu},
    title   = {A supernodal approach to sparse partial pivoting},
    journal = {SIAM J. Matrix Analysis and Applications}, 
    year    = {1999}, 
    volume  = {20},
    number  = {3},
    pages   = {720-755}
}

@article{ching2007,
title = "Numerical methods for stiff  reaction-diffusion systems",
journal = "Discrete \& Continuous Dynamical Systems - B",
volume = "7",
pages = "515",
year = "2007",
note = "",
issn = "1531-3492",
doi = "10.3934/dcdsb.2007.7.515",
url = "http://aimsciences.org//article/id/1e3b93b5-3ae6-4cec-bb04-4b54023ccac9",
author = "Ching-Shan Chou and Yong-Tao Zhang and Rui Zhao and Qing Nie"
}

@inproceedings{pusaAccruacy2013,
title = "Accuracy considerations for Chebyshev rational approximation method (CRAM) in Burnup calculations",
author = "Maria Pusa",
year = "2013",
language = "English",
isbn = "978-0-89448-700-2",
pages = "973--984",
booktitle = "Proceedings",
note = "International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M\&C 2013, M\&C 2013 ; Conference date: 05-05-2013 Through 09-05-2013",

}
@article{higham2011,
author = {Al-Mohy, Awad H. and Higham, Nicholas J.},
title = {Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators},
journal = {SIAM Journal on Scientific Computing},
volume = {33},
number = {2},
pages = {488-511},
year = {2011},
doi = {10.1137/100788860},
URL = {https://doi.org/10.1137/100788860},
eprint = {https://doi.org/10.1137/100788860}
}

@book{ott1985,
  title={Introductory nuclear reactor dynamics},
  author={Ott, K.O. and Neuhold, R.J.},
  isbn={9780894480294},
  lccn={85022903},
  url={https://books.google.com/books?id=3yVPAQAAIAAJ},
  year={1985},
  publisher={American Nuclear Society}
}

	
@TechReport{MSREbenchmark,
  title = {Molten Salt Reactor Experiment Benchmark Evaluation},
  author = {Massimiliano Fratoni and Dan Shen and Germina Ilas and Jeffrey Powers},
  institution = {University of California Berkeley and Oak Ridge National Laboratory},
  number = {Project 16-10240},
  year = {2020}
}

@InProceedings{mpi,
author="Clarke, Lyndon
and Glendinning, Ian
and Hempel, Rolf",
editor="Decker, Karsten M.
and Rehmann, Ren{\'e} M.",
title="The MPI Message Passing Interface Standard",
booktitle="Programming Environments for Massively Parallel Distributed Systems",
year="1994",
publisher="Birkh{\"a}user Basel",
address="Basel",
pages="213--218"
}

@article{openmp,
    Author = {Dagum, Leonardo and Menon, Ramesh},
    Date-Added = {2014-07-24 11:13:01 +0000},
    Date-Modified = {2014-07-24 11:13:01 +0000},
    Journal = {Computational Science \& Engineering, IEEE},
    Number = {1},
    Pages = {46--55},
    Publisher = {IEEE},
    Title = {OpenMP: an industry standard API for shared-memory programming},
    Volume = {5},
    Year = {1998}
}

@book{zill2012,
  title={Differential Equations with Boundary-Value Problems},
  author={Zill, D.G. and Wright, W.S.},
  isbn={9781111827069},
  lccn={2011944305},
  url={https://books.google.com/books?id=0UX8e0xdOr0C},
  year={2012},
  publisher={Cengage Learning}
}

@article{noye1989,
author = {Noye, B. J. and Tan, H. H.},
title = {Finite difference methods for solving the two-dimensional advection–diffusion equation},
journal = {International Journal for Numerical Methods in Fluids},
volume = {9},
number = {1},
pages = {75-98},
keywords = {2D Advection–diffusion equation, Finite difference method, Weighted discretization, Modified equivalent PDE approach, Stability, Accuracy},
doi = {https://doi.org/10.1002/fld.1650090107},
url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/fld.1650090107},
eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/fld.1650090107},
year = {1989}
}

@manual{haubenreich1964,
	author =		"P. N. Haubenreich and J. R. Engel and B. E. Price and H. C. Claiborne",
	title = 		"MSRE Design and Operations Report Part III. Nuclear Analysis",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--TM--730",
	year = 		"1964"
}

@manual{engel1962,
	author =		"J. R. Engel and P. N. Haubenreich",
	title = 		"Temperatures in the MSRE Core During Steady-State Power Operation",
	organization =	"Oak Ridge National Laboratory",
	address = 	"Oak Ridge, TN",
	note =		"ORNL--TM--378",
	year = 		"1962"
}

@article{betzler2020,
	title = "Modeling Molten Salt Reactor Fission Product Removal with SCALE",
	author = "Jr vicente valdez, Pedro and Betzler, Benjamin R. and Wieselquist, William and Fratoni, Massimilliano",
	doi = "10.2172/1608211",
	url = "https://www.osti.gov/biblio/1608211",
	place = "United States",
	year = "2020",
	month = "3"
}