@Article{Andersson2019,
  author = {Joel A E Andersson and Joris Gillis and Greg Horn
            and James B Rawlings and Moritz Diehl},
  title = {{CasADi} -- {A} software framework for nonlinear optimization
           and optimal control},
  journal = {Mathematical Programming Computation},
  volume = {11},
  number = {1},
  pages = {1--36},
  year = {2019},
  publisher = {Springer},
  doi = {10.1007/s12532-018-0139-4}
}

@article{Chen2020,
  author = {Chen, Chang-Hui and Brosa Planella, Ferran and O'Regan, Kieran and Gastol, Dominika and Widanage, W. Dhammika and Kendrick, Emma},
  title = {{Development of Experimental Techniques for Parameterization of Multi-scale Lithium-ion Battery Models}},
  journal={Journal of The Electrochemical Society},
  volume={167},
  number={8},
  pages={080534},
  year={2020},
  publisher={The Electrochemical Society}

}


@article{doyle1993modeling,
  title={Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell},
  author={Doyle, M and Fuller, TF and Newman, J},
  journal={Journal of the Electrochemical society},
  volume={140},
  number={6},
  pages={1526--1533},
  year={1993},
  publisher={The Electrochemical Society},
  note = {\href{ http://dx.doi.org/10.1149/1.2221597}{doi: 10.1149/1.2221597}},
}

@techreport{hindmarsh2000pvode,
  title={The {PVODE} and {IDA} algorithms},
  author={Hindmarsh, AC},
  year={2000},
  institution={Lawrence Livermore National Lab., CA (US)},
  note = {\href{ https://www.osti.gov/biblio/802599}{doi:10.2172/802599}},
}

@article{hindmarsh2005sundials,
  title={SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers},
  author={Hindmarsh, Alan C and Brown, Peter N and Grant, Keith E and Lee, Steven L and Serban, Radu and Shumaker, Dan E and Woodward, Carol S},
  journal={ACM Transactions on Mathematical Software (TOMS)},
  volume={31},
  number={3},
  pages={363--396},
  year={2005},
  publisher={ACM New York, NY, USA}
}

@article{kim2011multi,
  title={Multi-domain modeling of lithium-ion batteries encompassing multi-physics in varied length scales},
  author={Kim, Gi-Heon and Smith, Kandler and Lee, Kyu-Jin and Santhanagopalan, Shriram and Pesaran, Ahmad},
  journal={Journal of the electrochemical society},
  volume={158},
  number={8},
  pages={A955--A969},
  year={2011},
  publisher={The Electrochemical Society}
}

@article{marquis2019asymptotic,
title={An asymptotic derivation of a single particle model with electrolyte},
author={Marquis, Scott G and Sulzer, Valentin and Timms, Robert and Please, Colin P and Chapman, S Jon},
journal={Journal of The Electrochemical Society},
volume={166},
number={15},
pages={A3693--A3706},
year={2019},
publisher={The Electrochemical Society}
}

@article{Mohtat2020,
author = {Mohtat, Peyman and Siegel, Jason B and Stefanopoulou, Anna G},
title = {{High C-rate Differential Expansion and Voltage Model for Li-ion Batteries}},
journal = {Submitted for publication},
year = {2019},
publisher={ECSarXiv}
}

@article{scikits-odes,
  year  = {2018},
  month = {feb},
  publisher = {The Open Journal},
  volume = {3},
  number = {22},
  pages = {165},
  author = {Malengier, B and Ki{\v{s}}on, P and Tocknell, J and Abert, C and Bruckner, F and Bisotti, M-A},
  title = {{ODES}: a high level interface to {ODE} and {DAE} solvers},
  journal = {The Journal of Open Source Software},
  note = {\href{ http://dx.doi.org/10.21105/joss.00165}{doi: 10.21105/joss.00165}},
}

@article{virtanen2020scipy,
  title={SciPy 1.0: fundamental algorithms for scientific computing in Python},
  author={Virtanen, Pauli and Gommers, Ralf and Oliphant, Travis E and Haberland, Matt and Reddy, Tyler and Cournapeau, David and Burovski, Evgeni and Peterson, Pearu and Weckesser, Warren and Bright, Jonathan and others},
  journal={Nature Methods},
  pages={1--12},
  year={2020},
  publisher={Nature Publishing Group}
}

@article{sulzer2019physical,
  title={Faster Lead-Acid Battery Simulations from Porous-Electrode Theory: Part I. Physical Model},
  author={Sulzer, Valentin and Chapman, S Jon and Please, Colin P and Howey, David A and Monroe, Charles W},
  journal={Journal of The Electrochemical Society},
  volume={166},
  number={12},
  pages={A2363--A2371},
  year={2019},
  publisher={The Electrochemical Society}
}

@article{sulzer2019asymptotic,
  title={Faster Lead-Acid Battery Simulations from Porous-Electrode Theory: Part II. Asymptotic Analysis},
  author={Sulzer, Valentin and Chapman, S Jon and Please, Colin P and Howey, David A and Monroe, Charles W},
  journal={Journal of The Electrochemical Society},
  volume={166},
  number={12},
  pages={A2372--A2382},
  year={2019},
  publisher={The Electrochemical Society}
}

@article{sulzer2020python,
title={Python Battery Mathematical Modelling (PyBaMM)},
author={Sulzer, Valentin and Marquis, Scott G and Timms, Robert and Robinson, Martin and Chapman, S Jon},
journal={ECSarXiv. February},
volume={7},
year={2020}
}

@software{scikit-fem,
  author       = {Tom Gustafsson and
                  Geordie McBain},
  title        = {kinnala/scikit-fem 0.4.0},
  month        = jan,
  year         = 2020,
  publisher    = {Zenodo},
  version      = {0.4.0},
  doi          = {10.5281/zenodo.3597656},
  url          = {https://doi.org/10.5281/zenodo.3597656}
}

@article{ecker2015i,
  title={Parameterization of a physico-chemical model of a lithium-ion battery i. determination of parameters},
  author={Ecker, Madeleine and Tran, Thi Kim Dung and Dechent, Philipp and K{\"a}bitz, Stefan and Warnecke, Alexander and Sauer, Dirk Uwe},
  journal={Journal of the Electrochemical Society},
  volume={162},
  number={9},
  pages={A1836--A1848},
  year={2015},
  publisher={The Electrochemical Society}
}

@article{ecker2015ii,
  title={Parameterization of a physico-chemical model of a lithium-ion battery ii. model validation},
  author={Ecker, Madeleine and K{\"a}bitz, Stefan and Laresgoiti, Izaro and Sauer, Dirk Uwe},
  journal={Journal of The Electrochemical Society},
  volume={162},
  number={9},
  pages={A1849--A1857},
  year={2015},
  publisher={The Electrochemical Society}
}

@article{richardson2020,
title = "Generalised single particle models for high-rate operation of graded lithium-ion electrodes: Systematic derivation and validation",
journal = "Electrochimica Acta",
volume = "339",
pages = "135862",
year = "2020",
issn = "0013-4686",
doi = "https://doi.org/10.1016/j.electacta.2020.135862",
url = "http://www.sciencedirect.com/science/article/pii/S0013468620302541",
author = "G. Richardson and I. Korotkin and R. Ranom and M. Castle and J.M. Foster",
}

@article{timms2020,
title={Asymptotic Reduction of a Lithium-ion Pouch Cell Model}
journal={Submitted for publication},
author={R Timms and SG Marquis and V Sulzer and CP Please and SJ Chapman},
year={2020},
eprint={2005.05127},
archivePrefix={arXiv},
primaryClass={physics.app-ph},
}
