Commit 4c55255e authored by Conor McCoid's avatar Conor McCoid
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DD26: initial commit on final submission

parent a7d5234f
@inproceedings{davidenko1953new,
title={On a new method of numerical solution of systems of nonlinear equations},
author={Davidenko, DF},
booktitle={Dokl. Akad. Nauk SSSR},
volume={88},
number={4},
pages={601--602},
year={1953}
}
@article{branin1972widely,
title={Widely convergent method for finding multiple solutions of simultaneous nonlinear equations},
author={Branin, Franklin H},
journal={IBM Journal of Research and Development},
volume={16},
number={5},
pages={504--522},
year={1972},
publisher={IBM}
}
@article{brent1972davidenko,
title={On the {D}avidenko-{B}ranin method for solving simultaneous nonlinear equations},
author={Brent, RP},
journal={IBM Journal of Research and Development},
volume={16},
number={4},
pages={434--436},
year={1972},
publisher={IBM}
}
% -- Alternating {S}chwarz --%
@article{lui1999schwarz,
author = {Lui, S.},
title = {On {S}chwarz Alternating Methods for Nonlinear Elliptic {PDE}s},
journal = {SIAM J Sci Comput},
volume = {21},
number = {4},
pages = {1506-1523},
year = {1999},
doi = {10.1137/S1064827597327553},
URL = {https://doi.org/10.1137/S1064827597327553},
eprint = {https://doi.org/10.1137/S1064827597327553}
}
@article{Cai2002,
title={Nonlinearly preconditioned inexact {N}ewton algorithms},
author={Cai, Xiao-Chuan and Keyes, David E},
journal = {SIAM J Sci Comput},
volume={24},
number={1},
pages={183--200},
year={2002},
publisher={SIAM}
}
@article{Dolean2016,
author = {V Dolean and M J Gander and W Kheriji and F Kwok and R Masson},
doi = {10.1137/15M102887X},
issue = {6},
journal = {SIAM J Sci Comput},
keywords = {65F10,65N22,nonlinear preconditioning,preconditioning Newton's method AMS subject classifications 65M55,two-level nonlinear Schwarz methods},
pages = {3357-3380},
title = {NONLINEAR PRECONDITIONING: HOW TO USE A NONLINEAR {S}CHWARZ METHOD TO PRECONDITION {N}EWTON'S METHOD},
volume = {38},
url = {http://www.siam.org/journals/sisc/38-6/M102887.html},
year = {2016},
}
@incollection{Gander2017,
title={On the origins of linear and non-linear preconditioning},
author={Gander, Martin J},
booktitle={Domain Decomposition Methods in Science and Engineering XXIII},
pages={153--161},
year={2017},
publisher={Springer}
}
@article{liu2015field,
author = {Lulu Liu and David E Keyes},
doi = {10.1137/140970379},
issue = {3},
journal = {SIAM J Sci Comput},
keywords = {65H20,65N22,65N55,Navier-Stokes equations AMS subject classifications 65H10,Newton method,field splitting,nonlinear equations,nonlinear preconditioning},
pages = {A1388-A1409},
title = {FIELD-SPLIT PRECONDITIONED INEXACT {N}EWTON ALGORITHMS},
volume = {37},
url = {http://www.siam.org/journals/sisc/37-3/97037.html},
year = {2015},
}
@book{gander2014scientific,
title={Scientific computing-An introduction using Maple and MATLAB},
author={Gander, Walter and Gander, Martin J and Kwok, Felix},
volume={11},
year={2014},
publisher={Springer Science \& Business}
}
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