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}

@ARTICLE{colglaz,
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}

@ARTICLE{castro_I,
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@book{quirk1997,
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  author={Quirk, James J},
  year={1997},
  publisher={Springer}
}


@ARTICLE{maestro:III,
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@ARTICLE{zingalekatz,
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}


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}

@ARTICLE{timmes:1999,
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  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{timmes:2000,
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   adsurl = {http://ui.adsabs.harvard.edu/abs/2000ApJS..126..501T},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{colella:1990,
   author = {{Colella}, P.},
   title = "{Multidimensional upwind methods for hyperbolic conservation laws}",
   journal = {Journal of Computational Physics},
   year = 1990,
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   volume = 87,
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}

@ARTICLE{colellasekora,
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   year = 2008,
   month = jul,
   volume = 227,
   pages = {7069-7076},
  doi = {10.1016/j.jcp.2008.03.034},
}

@ARTICLE{millercolella:2002,
   author = {{Miller}, G.~H. and {Colella}, P.},
       title = "{A Conservative Three-Dimensional Eulerian Method for Coupled Solid-Fluid Shock \
Capturing}",
  journal = {Journal of Computational Physics},
  year = 2002,
  month = nov,
  volume = 183,
  pages = {26-82},
 doi = {10.1006/jcph.2002.7158},
 adsurl = {http://ui.adsabs.harvard.edu/abs/2002JCoPh.183...26M},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@TECHREPORT{pember:1996,
    author = {Richard B. Pember and Jeffrey A. Greenough and Phillip Colella},
    title = {An Adaptive, Higher-Order Godunov Method For Gas Dynamics In Three-Dimensional Orthogonal Curvilinear Coordinates},
    year = {1996}
}

@ARTICLE{chamulak:2008,
   author = {{Chamulak}, D.~A. and {Brown}, E.~F. and {Timmes}, F.~X. and
{Dupczak}, K.},
    title = "{The Reduction of the Electron Abundance during the Pre-explosion Simmering in White Dwarf Supernovae}",
  journal = {\apj},
archivePrefix = "arXiv",
   eprint = {0801.1643},
 keywords = {Galaxies: Evolution, Nuclear Reactions, Nucleosynthesis, Abundances, Stars: Supernovae: General, Stars: White Dwarfs},
     year = 2008,
    month = apr,
   volume = 677,
    pages = {160-168},
      doi = {10.1086/528944},
   adsurl = {http://ui.adsabs.harvard.edu/abs/2008ApJ...677..160C},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{lowMach4,
   author = {{Zingale}, M. and {Almgren}, A.~S. and {Bell}, J.~B. and {Nonaka}, A. and
             {Woosley}, S.~E.},
    title = "{Low Mach Number Modeling of Type IA Supernovae. IV. White Dwarf Convection}",
  journal = {\apj},
archivePrefix = "arXiv",
   eprint = {0908.2668},
     year = 2009,
    month = oct,
   volume = 704,
    pages = {196-210},
      doi = {10.1088/0004-637X/704/1/196},
   adsurl = {http://ui.adsabs.harvard.edu/abs/2009ApJ...704..196Z},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{wdconvect,
   author = {{Zingale}, M. and {Nonaka}, A. and {Almgren}, A.~S. and {Bell}, J.~B. and
{Malone}, C.~M. and {Woosley}, S.~E.},
    title = "{The Convective Phase Preceding Type Ia Supernovae}",
  journal = {\apj},
 keywords = {convection, hydrodynamics, methods: numerical, nuclear reactions, nucleosynthesis, abundances, supernovae: general, white dwarfs},
     year = 2011,
    month = oct,
   volume = 740,
      eid = {8},
    pages = {8},
      doi = {10.1088/0004-637X/740/1/8},
   adsurl = {http://ui.adsabs.harvard.edu/abs/2011ApJ...740....8Z},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{raskin:2010,
   author = {{Raskin}, C. and {Scannapieco}, E. and {Rockefeller}, G. and
	{Fryer}, C. and {Diehl}, S. and {Timmes}, F.~X.},
    title = "{$^{56}$Ni Production in Double-degenerate White Dwarf Collisions}",
  journal = {\apj},
archivePrefix = "arXiv",
   eprint = {1009.2507},
 primaryClass = "astro-ph.SR",
 keywords = {hydrodynamics, nuclear reactions, nucleosynthesis, abundances, supernovae: general, white dwarfs},
     year = 2010,
    month = nov,
   volume = 724,
    pages = {111-125},
      doi = {10.1088/0004-637X/724/1/111},
   adsurl = {http://ui.adsabs.harvard.edu/abs/2010ApJ...724..111R},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{xrb:III,
   author = {{Zingale}, M. and {Malone}, C.~M. and {Nonaka}, A. and {Almgren}, A.~S. and
	{Bell}, J.~B.},
    title = "{Comparisons of Two- and Three-Dimensional Convection in Type I X-Ray Bursts}",
  journal = {\apj},
archivePrefix = "arXiv",
   eprint = {1410.5796},
 primaryClass = "astro-ph.HE",
 keywords = {convection, hydrodynamics, methods: numerical, stars: neutron, X-rays: bursts},
     year = 2015,
    month = jul,
   volume = 807,
      eid = {60},
    pages = {60},
      doi = {10.1088/0004-637X/807/1/60},
   adsurl = {http://ui.adsabs.harvard.edu/abs/2015ApJ...807...60Z},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{xrb:II,
   author = {{Malone}, C.~M. and {Zingale}, M. and {Nonaka}, A. and {Almgren}, A.~S. and
	{Bell}, J.~B.},
    title = "{Multidimensional Modeling of Type I X-Ray Bursts. II. Two-dimensional Convection in a Mixed H/He Accretor}",
  journal = {\apj},
archivePrefix = "arXiv",
   eprint = {1404.6286},
 primaryClass = "astro-ph.HE",
 keywords = {convection, hydrodynamics, methods: numerical, stars: neutron, X-rays: bursts},
     year = 2014,
    month = jun,
   volume = 788,
      eid = {115},
    pages = {115},
      doi = {10.1088/0004-637X/788/2/115},
   adsurl = {http://ui.adsabs.harvard.edu/abs/2014ApJ...788..115M},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{wallacewoosley:1981,
       author = {{Wallace}, R.~K. and {Woosley}, S.~E.},
        title = "{Explosive hydrogen burning}",
      journal = {\apjs},
     keywords = {Abundance, Astrophysics, Hydrogen, Metallic Stars, Nuclear Fusion, Reaction Kinetics, Stellar Evolution, Gamma Rays, High Temperature, Isotopes, Neutron Stars, Novae, Resonance, Supermassive Stars, X Ray Sources, Astrophysics},
         year = 1981,
        month = feb,
       volume = {45},
        pages = {389-420},
          doi = {10.1086/190717},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1981ApJS...45..389W},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{ReacLib,
  author={Richard H. Cyburt and A. Matthew Amthor and Ryan Ferguson
                  and Zach Meisel and Karl Smith and Scott Warren and
                  Alexander Heger and R. D. Hoffman and Thomas
                  Rauscher and Alexander Sakharuk and Hendrik Schatz
                  and F. K. Thielemann and Michael Wiescher},
  title={The JINA REACLIB Database: Its Recent Updates and Impact on
                  Type-I X-ray Bursts},
  journal={\apjs},
  volume={189},
  number={1},
  pages={240},
  url={http://stacks.iop.org/0067-0049/189/i=1/a=240},
  year={2010}
}

@BOOK{NR,
   author = {{Press}, W.~H. and {Teukolsky}, S.~A. and {Vetterling}, W.~T. and
	{Flannery}, B.~P.},
    title = "{Numerical recipes in FORTRAN. The art of scientific computing}",
publisher = {Cambridge: University Press, |c1992, 2nd ed.},
     year = 1992,
   adsurl = {http://ui.adsabs.harvard.edu/abs/1992nrfa.book.....P},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@ARTICLE{vode,
  author={P. N. Brown and G. D. Byrne and A. C. Hindmarsh},
  title={{VODE}: A Variable Coefficient ODE Solver},
  journal={SIAM J. Sci. Stat. Comput.},
  volume={10},
  pages={1038-1051},
  year={1989}
}


@ARTICLE{ShenBildsten,
   author = {{Shen}, K.~J. and {Bildsten}, L.},
    title = "{Unstable Helium Shell Burning on Accreting White Dwarfs}",
  journal = {\apj},
archivePrefix = "arXiv",
   eprint = {0903.0654v2},
 primaryClass = "astro-ph.HE",
     year = 2009,
    month = mar,
   volume = 699,
    pages = {10}}

@ARTICLE{castro_sdc,
       author = {{Zingale}, M. and {Katz}, M.~P. and {Bell}, J.~B. and {Minion}, M.~L. and
         {Nonaka}, A.~J. and {Zhang}, W.},
        title = "{Improved Coupling of Hydrodynamics and Nuclear Reactions via Spectral Deferred Corrections}",
      journal = {arXiv e-prints},
     keywords = {Physics - Computational Physics, Astrophysics - Instrumentation and Methods for Astrophysics},
         year = "2019",
        month = "Aug",
          eid = {arXiv:1908.03661},
        pages = {arXiv:1908.03661},
archivePrefix = {arXiv},
       eprint = {1908.03661},
 primaryClass = {physics.comp-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2019arXiv190803661Z},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@ARTICLE{ma:2013,
       author = {{Ma}, H. and {Woosley}, S.~E. and {Malone}, C.~M. and {Almgren}, A. and
         {Bell}, J.},
        title = "{Carbon Deflagration in Type Ia Supernova. I. Centrally Ignited Models}",
      journal = {\apj},
     keywords = {hydrodynamics, instabilities, nuclear reactions, nucleosynthesis, abundances, supernovae: general, turbulence, white dwarfs, Astrophysics - High Energy Astrophysical Phenomena, Astrophysics - Solar and Stellar Astrophysics},
         year = 2013,
        month = "jul",
       volume = {771},
       number = {1},
          eid = {58},
        pages = {58},
          doi = {10.1088/0004-637X/771/1/58},
archivePrefix = {arXiv},
       eprint = {1305.2433},
 primaryClass = {astro-ph.HE},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2013ApJ...771...58M},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{graboske:1973,
       author = {{Graboske}, H.~C. and {Dewitt}, H.~E. and {Grossman}, A.~S. and {Cooper}, M.~S.},
        title = "{Screening Factors for Nuclear Reactions. II. Intermediate Screen-Ing and Astrophysical Applications}",
      journal = {\apj},
         year = 1973,
        month = apr,
       volume = {181},
        pages = {457-474},
          doi = {10.1086/152062},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1973ApJ...181..457G},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{alastuey:1978,
       author = {{Alastuey}, A. and {Jancovici}, B.},
        title = "{Nuclear reaction rate enhancement in dense stellar matter.}",
      journal = {\apj},
     keywords = {Astrophysics, Magnetohydrodynamics, Nuclear Astrophysics, Reaction Kinetics, Thermonuclear Reactions, Correlation, Nuclei (Nuclear Physics), Perturbation Theory, Potential Theory, Quantum Mechanics, Astrophysics, Nuclear Reactions:Stellar Interiors},
         year = 1978,
        month = dec,
       volume = {226},
        pages = {1034-1040},
          doi = {10.1086/156681},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1978ApJ...226.1034A},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{itoh:1979,
       author = {{Itoh}, N. and {Totsuji}, H. and {Ichimaru}, S. and {Dewitt}, H.~E.},
        title = "{Enhancement of thermonuclear reaction rate due to strong screening. II - Ionic mixtures}",
      journal = {\apj},
     keywords = {Nonuniform Plasmas, Reaction Kinetics, Thermonuclear Reactions, Astrophysics, Binary Mixtures, Dense Plasmas, Monte Carlo Method, Astrophysics},
         year = 1979,
        month = dec,
       volume = {234},
        pages = {1079-1084},
          doi = {10.1086/157590},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1979ApJ...234.1079I},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{chugunov:2007,
       author = {{Chugunov}, A.~I. and {Dewitt}, H.~E. and {Yakovlev}, D.~G.},
        title = "{Coulomb tunneling for fusion reactions in dense matter: Path integral MonteCarlo versus mean field}",
      journal = {\prd},
     keywords = {26.30.+k, Nucleosynthesis in novae supernovae and other explosive environments, Astrophysics, Nuclear Theory},
         year = 2007,
        month = jul,
       volume = {76},
       number = {2},
          eid = {025028},
        pages = {025028},
          doi = {10.1103/PhysRevD.76.025028},
archivePrefix = {arXiv},
       eprint = {0707.3500},
 primaryClass = {astro-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2007PhRvD..76b5028C},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{yakovlev:2006,
       author = {{Yakovlev}, D.~G. and {Gasques}, L.~R. and {Afanasjev}, A.~V. and {Beard}, M. and {Wiescher}, M.},
        title = "{Fusion reactions in multicomponent dense matter}",
      journal = {\prc},
     keywords = {25.60.Pj, 26.50.+x, 97.10.Cv, Fusion reactions, Nuclear physics aspects of novae supernovae and other explosive environments, Stellar structure interiors evolution nucleosynthesis ages, Astrophysics, Nuclear Theory},
         year = 2006,
        month = sep,
       volume = {74},
       number = {3},
          eid = {035803},
        pages = {035803},
          doi = {10.1103/PhysRevC.74.035803},
archivePrefix = {arXiv},
       eprint = {astro-ph/0608488},
 primaryClass = {astro-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2006PhRvC..74c5803Y},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{chugunov:2009,
       author = {{Chugunov}, A.~I. and {Dewitt}, H.~E.},
        title = "{Nuclear fusion reaction rates for strongly coupled ionic mixtures}",
      journal = {\prc},
     keywords = {26.30.-k, Nucleosynthesis in novae supernovae and other explosive environments, Astrophysics - Solar and Stellar Astrophysics, Astrophysics - High Energy Astrophysical Phenomena},
         year = 2009,
        month = jul,
       volume = {80},
       number = {1},
          eid = {014611},
        pages = {014611},
          doi = {10.1103/PhysRevC.80.014611},
archivePrefix = {arXiv},
       eprint = {0905.3844},
 primaryClass = {astro-ph.SR},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2009PhRvC..80a4611C},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{Calder_2007,
	doi = {10.1086/510709},
	url = {https://doi.org/10.1086/510709},
	year = 2007,
	month = {feb},
	publisher = {American Astronomical Society},
	volume = {656},
	number = {1},
	pages = {313--332},
	author = {A. C. Calder and D. M. Townsley and I. R. Seitenzahl and F. Peng and O. E. B. Messer and N. Vladimirova and E. F. Brown and J. W. Truran and D. Q. Lamb},
	title = {Capturing the Fire: Flame Energetics and Neutronization for Type Ia Supernova Simulations},
	journal = {The Astrophysical Journal},
	abstract = {We develop and calibrate a realistic model flame for hydrodynamic simulations of deflagrations in white dwarf (Type Ia) supernovae. Our flame model builds on the advection-diffusion-reaction model of Khokhlov and includes electron screening and Coulomb corrections to the equation of state in a self-consistent way. We calibrate this model flame—its energetics and timescales for energy release and neutronization—with self-heating reaction network calculations that include both these Coulomb effects and up-to-date weak interactions. The burned material evolves postflame due to both weak interactions and hydrodynamic changes in density and temperature. We develop a scheme to follow the evolution, including neutronization, of the NSE state subsequent to the passage of the flame front. As a result, our model flame is suitable for deflagration simulations over a wide range of initial central densities and can track the temperature and electron fraction of the burned material through the explosion and into the expansion of the ejecta.}
}

@article{mott_qss,
        title = {A Quasi-Steady-State Solver for the Stiff Ordinary Differential Equations of Reaction Kinetics},
        journal = {Journal of Computational Physics},
        volume = {164},
        number = {2},
        pages = {407-428},
        year = {2000},
        issn = {0021-9991},
        doi = {https://doi.org/10.1006/jcph.2000.6605},
        author = {David R. Mott and Elaine S. Oran and Bram {van Leer}},
        abstract = {A quasi-steady-state method is presented that integrates stiff differential equations arising from reaction kinetics. This predictor–corrector method is A-stable for linear equations and second-order accurate. The method is used for all species regardless of the time scales of the individual equations, and it works well for problems typical of hydrocarbon combustion. Start-up costs are low, making the method ideal for use in process-split reacting-flow simulations which require the solution of an initial-value problem in every computational cell for every global time step. The algorithm is described, and error analysis and linear stability analysis are included. The algorithm is also applied to several test problems, and the results are compared to those of the stiff integrator CHEMEQ. The method, which we call α-QSS, is more stable, more accurate, and less costly than CHEMEQ.}
}

@article{guidry_qss,
        doi = {10.1088/1749-4699/6/1/015002},
        url = {https://dx.doi.org/10.1088/1749-4699/6/1/015002},
        year = {2013},
        month = {jan},
        publisher = {IOP Publishing},
        volume = {6},
        number = {1},
        pages = {015002},
        author = {M W Guidry and J A Harris},
        title = {Explicit integration of extremely stiff reaction networks: quasi-steady-state methods},
        journal = {Computational Science & Discovery},
        abstract = {A preceding paper by Guidry et al 2013 Comput. Sci. Disc. 6 015001 demonstrated that explicit asymptotic methods generally work much better for extremely stiff reaction networks than has previously been shown in the literature. There we showed that for systems well removed from equilibrium, explicit asymptotic methods can rival standard implicit codes in speed and accuracy for solving extremely stiff differential equations. In this paper, we continue the investigation of systems well removed from equilibrium by examining quasi-steady-state (QSS) methods as an alternative to asymptotic methods. We show that for systems well removed from equilibrium, QSS methods also can compete with, or even exceed, standard implicit methods in speed, even for extremely stiff networks, and in many cases give a somewhat better integration speed than for asymptotic methods. As for asymptotic methods, we will find that QSS methods give correct results, but with a non-competitive integration speed as equilibrium is approached. Thus, we find that both asymptotic and QSS methods must be supplemented with partial equilibrium methods as equilibrium is approached to remain competitive with implicit methods.}
}


@ARTICLE{jancovici:1977,
       author = {{Jancovici}, B.},
        title = "{Pair correlation function in a dense plasma and pycnonuclear reactions in stars}",
      journal = {Journal of Statistical Physics},
     keywords = {One-component plasma, pair correlation function (radial distribution function), quantum effects, pycnonuclear reactions},
         year = 1977,
        month = nov,
       volume = {17},
       number = {5},
        pages = {357-370},
          doi = {10.1007/BF01014403},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1977JSP....17..357J},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{Wallace:1982,
       author = {{Wallace}, R.~K. and {Woosley}, S.~E. and {Weaver}, T.~A.},
        title = "{The thermonuclear model for X-ray transients}",
      journal = {\apj},
     keywords = {Binary Stars, Neutron Stars, Red Giant Stars, Stellar Mass Accretion, Stellar Models, Thermonuclear Reactions, X Ray Sources, Eddington Approximation, Stellar Envelopes, Stellar Evolution, Stellar Luminosity, Stellar Mass Ejection, Stellar Temperature, Astrophysics},
         year = 1982,
        month = jul,
       volume = {258},
        pages = {696-715},
          doi = {10.1086/160119},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1982ApJ...258..696W},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{castro_simple_sdc,
doi = {10.3847/1538-4357/ac8478},
url = {https://dx.doi.org/10.3847/1538-4357/ac8478},
year = {2022},
month = {aug},
publisher = {The American Astronomical Society},
volume = {936},
number = {1},
pages = {6},
author = {M. Zingale and M. P. Katz and A. Nonaka and M. Rasmussen},
title = {An Improved Method for Coupling Hydrodynamics with Astrophysical Reaction Networks},
journal = {The Astrophysical Journal},
abstract = {Reacting astrophysical flows can be challenging to model, because of the difficulty in accurately coupling hydrodynamics and reactions. This can be particularly acute during explosive burning or at high temperatures where nuclear statistical equilibrium is established. We develop a new approach, based on the ideas of spectral deferred corrections (SDC) coupling of explicit hydrodynamics and stiff reaction sources as an alternative to operator splitting, that is simpler than the more comprehensive SDC approach we demonstrated previously. We apply the new method to a double-detonation problem with a moderately sized astrophysical nuclear reaction network and explore the time step size and reaction network tolerances, to show that the simplified-SDC approach provides improved coupling with decreased computational expense compared to traditional Strang operator splitting. This is all done in the framework of the Castro hydrodynamics code, and all algorithm implementations are freely available.}
}

@article{Kushnir_2020,
       author = {{Kushnir}, Doron and {Katz}, Boaz},
        title = "{An accurate and efficient numerical calculation of detonation waves in multidimensional supernova simulations using a burning limiter and adaptive quasi-statistical equilibrium}",
     keywords = {hydrodynamics, shock waves, supernovae: general, Astrophysics - High Energy Astrophysical Phenomena},
         year = 2020,
        month = apr,
       volume = {493},
       number = {4},
        pages = {5413-5433},
archivePrefix = {arXiv},
       eprint = {1912.06151},
 primaryClass = {astro-ph.HE},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2020MNRAS.493.5413K},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System},
      journal = {Monthly Notices of the Royal Astronomical Society}
}


@article{Chabrier_1998,
	doi = {10.1103/physreve.58.4941},
	url = {https://doi.org/10.1103},
	year = 1998,
	month = {oct},
	publisher = {American Physical Society ({APS})},
	volume = {58},
	number = {4},
	pages = {4941--4949},
	author = {Gilles Chabrier and Alexander Y. Potekhin},
	title = {Equation of state of fully ionized electron-ion plasmas},
	journal = {Physical Review E}
}

@article{sommeijer_rkc_1998,
	title = {{RKC}: {An} explicit solver for parabolic {PDEs}},
	volume = {88},
	issn = {03770427},
	shorttitle = {{RKC}},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0377042797002197},
	doi = {10.1016/S0377-0427(97)00219-7},
	number = {2},
	journal = {Journal of Computational and Applied Mathematics},
	author = {Sommeijer, B.P. and Shampine, L.F. and Verwer, J.G.},
	month = mar,
	year = {1998},
	pages = {315--326}
}

@misc{autodiff,
    author = {Leal, Allan M. M.},
    title = {autodiff, a modern, fast and expressive {C++} library for automatic differentiation},
    url = {https://autodiff.github.io},
    howpublished = {\texttt{https://autodiff.github.io}},
    year = {2018}
}

@ARTICLE{timmes:2000b,
       author = {{Timmes}, F.~X.},
        title = "{Physical Properties of Laminar Helium Deflagrations}",
      journal = {APJ},
     keywords = {HYDRODYNAMICS, METHODS: NUMERICAL, NUCLEAR REACTIONS, NUCLEOSYNTHESIS, ABUNDANCES, STARS: INTERIORS, Hydrodynamics, Methods: Numerical, nuclear reactions, nucleosynthesis; abundances, Stars: Interiors},
         year = 2000,
        month = jan,
       volume = {528},
       number = {2},
        pages = {913-945},
          doi = {10.1086/308203},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2000ApJ...528..913T},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@article{sdc-nse,
doi = {10.3847/1538-4357/ad8a66},
url = {https://dx.doi.org/10.3847/1538-4357/ad8a66},
year = {2024},
month = {nov},
publisher = {The American Astronomical Society},
volume = {977},
number = {1},
pages = {30},
author = {Michael Zingale and Zhi Chen and Eric T. Johnson and Max P. Katz and Alexander Smith Clark},
title = {Strong Coupling of Hydrodynamics and Reactions in Nuclear Statistical Equilibrium for Modeling Convection in Massive Stars},
journal = {The Astrophysical Journal},
abstract = {We build on the simplified spectral deferred corrections
                  (SDC) coupling of hydrodynamics and reactions to
                  handle the case of nuclear statistical equilibrium
                  (NSE) and electron/positron captures/decays in the
                  cores of massive stars. Our approach blends a
                  traditional reaction network on the grid with a
                  tabulated NSE state from a very large, nuclei
                  network. We demonstrate how to achieve second-order
                  accuracy in the simplified-SDC framework when
                  coupling NSE to hydrodynamics, with the ability to
                  evolve the star on the hydrodynamics time step. We
                  discuss the application of this method to convection
                  in massive stars leading up to core collapse. We
                  also show how to initialize the initial convective
                  state from a 1D model in a self-consistent
                  fashion. All of these developments are done in the
                  publicly available Castro simulation code and the
                  entire simulation methodology is fully
                  GPU-accelerated.}
}

@article{langanke:2001,
title = {RATE TABLES FOR THE WEAK PROCESSES OF pf-SHELL NUCLEI IN STELLAR ENVIRONMENTS},
journal = {Atomic Data and Nuclear Data Tables},
volume = {79},
number = {1},
pages = {1-46},
year = {2001},
issn = {0092-640X},
doi = {https://doi.org/10.1006/adnd.2001.0865},
author = {K. LANGANKE and G. MARTÍNEZ-PINEDO},
abstract = {The weak interaction rates in stellar environments are computed for pf-shell nuclei in the mass range A=45–65 using large-scale shell-model calculations. The calculated capture and decay rates take into consideration the latest experimental energy levels and log ft-values. The rates are tabulated at the same grid points of density and temperature as those used by Fuller, Fowler, and Newman for densities ρY e =10–1011 g/cm3 and temperatures T=107–1011 K, and hence are relevant for both types of supernovae (Type Ia and Type II). Effective 〈ft〉 values for capture rates and average neutrino (antineutrino) energies are also given to facilitate the use of interpolated rates in stellar evolution codes.}
}

@ARTICLE{itoh:1996,
       author = {{Itoh}, Naoki and {Hayashi}, Hiroshi and {Nishikawa}, Akinori and {Kohyama}, Yasuharu},
        title = "{Neutrino Energy Loss in Stellar Interiors. VII. Pair, Photo-, Plasma, Bremsstrahlung, and Recombination Neutrino Processes}",
      journal = {\apjs},
     keywords = {DENSE MATTER, ELEMENTARY PARTICLES, RADIATION MECHANISMS: NONTHERMAL, STARS: INTERIORS, METHODS: NUMERICAL},
         year = 1996,
        month = feb,
       volume = {102},
        pages = {411},
          doi = {10.1086/192264},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1996ApJS..102..411I},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{iso7,
       author = {{Timmes}, F.~X. and {Hoffman}, R.~D. and {Woosley}, S.~E.},
        title = "{An Inexpensive Nuclear Energy Generation Network for Stellar Hydrodynamics}",
      journal = {\apjs},
     keywords = {Hydrodynamics, Methods: Numerical, Nuclear Reactions, Nucleosynthesis, Abundances, Stars: General},
         year = 2000,
        month = jul,
       volume = {129},
       number = {1},
        pages = {377-398},
          doi = {10.1086/313407},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2000ApJS..129..377T},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{amrex_joss,
         doi = {10.21105/joss.01370},
         url = {https://doi.org/10.21105/joss.01370},
         year = {2019},
         publisher = {The Open Journal},
         volume = {4},
         number = {37},
         pages = {1370},
         author = {Weiqun Zhang and Ann Almgren and Vince Beckner and John Bell and Johannes Blaschke and Cy Chan and Marcus Day and Brian Friesen and Kevin Gott and Daniel Graves and Max P. Katz and Andrew Myers and Tan Nguyen and Andrew Nonaka and Michele Rosso and Samuel Williams and Michael Zingale},
         title = {AMReX: a framework for block-structured adaptive mesh refinement},
         journal = {Journal of Open Source Software} }


@ARTICLE{maestroex,
       author = {{Fan}, Duoming and {Nonaka}, Andrew and {Almgren}, Ann S. and {Harpole}, Alice and {Zingale}, Michael},
        title = "{MAESTROeX: A Massively Parallel Low Mach Number Astrophysical Solver}",
      journal = {\apj},
     keywords = {Stellar convective zones, Hydrodynamics, Computational methods, Nuclear astrophysics, Nucleosynthesis, Nuclear abundances, 301, 1963, 1965, 1129, 1131, 1128, Physics - Computational Physics, Astrophysics - Solar and Stellar Astrophysics},
         year = 2019,
        month = dec,
       volume = {887},
       number = {2},
          eid = {212},
        pages = {212},
          doi = {10.3847/1538-4357/ab4f75},
archivePrefix = {arXiv},
       eprint = {1908.03634},
 primaryClass = {physics.comp-ph},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2019ApJ...887..212F},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@ARTICLE{quokka,
       author = {{Wibking}, Benjamin D. and {Krumholz}, Mark R.},
        title = "{QUOKKA: a code for two-moment AMR radiation hydrodynamics on GPUs}",
      journal = {\mnras},
     keywords = {hydrodynamics, methods: numerical, Astrophysics - Instrumentation and Methods for Astrophysics},
         year = 2022,
        month = may,
       volume = {512},
       number = {1},
        pages = {1430-1449},
archivePrefix = {arXiv},
       eprint = {2110.01792},
 primaryClass = {astro-ph.IM},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2022MNRAS.512.1430W},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@ARTICLE{tillotson:1962,
      author = {{Tillotson}, J. H.},
      title = "{Metallic Equations of State for Hypervelocity Impact}",
      year = {1962},
      journal = {Internal Report, General Atomics},
      url = {https://apps.dtic.mil/sti/citations/AD0486711}
}

@article{lsode,
        title = {Description and {Use} of {LSODE}, the {Livermore} {Solver} for {Ordinary} {Differential} {Equations}},
        language = {en},
        year = {1993},
        author = {{Radhakrishnan}, Krishnan and {Hindmarsh}, Alan C.},
        journal = {Lawrence Livermore National Laboratory Report UCRL-ID-113855},
        pages = {124}
}