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Author = {E. Hairer and S.P. Norsett and G. Wanner},
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Series = {Springer Series in Computational Mathematics},
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Year = {1993},
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@Book{HW96,
Author = {E. Hairer and G. Wanner},
Edition = {2},
Number = {14},
Publisher = {Springer-Verlag Berlin Heidelberg},
Series = {Springer Series in Computational Mathematics},
Title = {Solving ordinary differential equations {II}: {S}tiff and differential-algebraic problems},
Year = {1996},
Doi = {10.1007/978-3-642-05221-7}
}
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title = {Construction of {IMEX} {DIMSIMs} of high order and stage order},
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author = {R. Lefever and G. Nicolis},
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@Article{PR74,
title={On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations},
author={Prothero, A and Robinson, A},
journal={Mathematics of Computation},
volume={28},
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year={1974},
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author = {Seinfeld, J. H. and Lapidus, Leon and Hwang, Myungkyu},
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title={Deterministic nonperiodic flow},
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volume={20},
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@book{Str18,
title={Nonlinear Dynamics and Chaos: {W}ith applications to physics, biology, chemistry, and engineering},
author={Strogatz, Steven H},
edition={Second},
isbn={0813349109},
doi={10.1201/9780429492563},
year={2018},
publisher={CRC press}
}
@inproceedings{Lor96,
title={Predictability: A problem partly solved},
author={Lorenz, Edward N},
booktitle={Proc. Seminar on predictability},
volume={1},
number={1},
year={1996},
organization={Reading},
doi={10.1017/CBO9780511617652.004}
}
@article{PS19,
title={A Bayesian approach to multivariate adaptive localization in ensemble-based data assimilation with time-dependent extensions},
author={Popov, Andrey A and Sandu, Adrian},
journal={Nonlinear Processes in Geophysics},
volume={26},
number={2},
pages={109--122},
year={2019},
publisher={Copernicus Publications G{\"o}ttingen, Germany},
doi={10.5194/npg-26-109-2019}
}
@article{FN74,
author = {Field, Richard J. and Noyes, Richard M.},
title = "{Oscillations in chemical systems. {IV}. {L}imit cycle behavior in a model of a real chemical reaction}",
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year = {1974},
issn = {0021-9606},
doi = {10.1063/1.1681288}
}
@incollection{EH76,
title = {Comparing Numerical Methods for the Solution of Stiff Systems of {ODE}s Arising in Chemistry},
editor = {L. LAPIDUS and W.E. SCHIESSER},
booktitle = {Numerical Methods for Differential Systems},
publisher = {Academic Press},
pages = {45-66},
year = {1976},
isbn = {978-0-12-436640-4},
doi = {10.1016/B978-0-12-436640-4.50008-3},
author = {W.H. Enright and T.E. Hull}
}
@article{GW82,
author = {Björn A. Gottwald and Gerhard Wanner},
title ={Comparison of Numerical Methods for Stiff Differential Equations in Biology and Chemistry},
journal = {SIMULATION},
volume = {38},
number = {2},
pages = {61-66},
year = {1982},
doi = {10.1177/003754978203800206}
}
@article{Asc89,
author = {Ascher, Uri},
title = {On Symmetric Schemes and Differential-Algebraic Equations},
journal = {SIAM Journal on Scientific and Statistical Computing},
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number = {5},
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year = {1989},
doi = {10.1137/0910054}
}
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author = {L. R. Petzold},
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number = {4},
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publisher = {Society for Industrial and Applied Mathematics},
title = {Order Results for Implicit {Runge--Kutta} Methods Applied to Differential/Algebraic Systems},
volume = {23},
year = {1986},
doi = {10.1137/0723054}
}
@article{PMSI21,
title={A multifidelity ensemble Kalman filter with reduced order control variates},
author={Popov, Andrey A and Mou, Changhong and Sandu, Adrian and Iliescu, Traian},
journal={SIAM Journal on Scientific Computing},
volume={43},
number={2},
pages={A1134--A1162},
year={2021},
publisher={SIAM}
}
@article{SSWZI11,
title={Approximate deconvolution large eddy simulation of a barotropic ocean circulation model},
author={San, Omer and Staples, Anne E and Wang, Zhu and Iliescu, Traian},
journal={Ocean Modelling},
volume={40},
number={2},
pages={120--132},
year={2011},
publisher={Elsevier}
}
@article{Sch75,
title = {A new approach to explain the ``high irradiance responses'' of photomorphogenesis on the basis of phytochrome},
volume = {2},
ISSN = {1432-1416},
DOI = {10.1007/bf00276015},
number = {1},
journal = {Journal of Mathematical Biology},
author = {Schäfer, E.},
year = {1975},
pages = {41-56}
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@article{Got77,
title = {{MISS} - ein einfaches Simulations-System für biologische und chemische Prozesse},
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year = {1977},
pages = {85-90}
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@article{dSL98,
title={Collecting real-life problems to test solvers for implicit differential equations},
author={de Swart, Jacques J. B. and Lioen, Walter M.},
journal={CWI Quarterly},
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number={1},
pages={83-100},
year={1998}
}
@phdthesis{Spr21,
title={Trajectory design and targeting for applications to the exploration program in cislunar space},
author={Spreen, Emily M Zimovan},
year={2021},
school={Purdue University}
}
@book{She20,
title={A Preliminary Study of Leo to Geo Transfers for Inclination Changes Using Libration Point Orbits},
author={Shepard, John Philip},
year={2020},
publisher={The University of North Dakota}
}
@book{Are63,
title={Periodic solutions of the restricted three body problem representing analytic continuations of Keplerian elliptic motions},
author={Arenstorf, Richard F},
year={1963},
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}