




@book{thomas2013numerical,
  title={Numerical partial differential equations: finite difference methods},
  author={Thomas, James William},
  volume={22},
  year={2013},
  publisher={Springer Science \& Business Media}
}

@article{butcher2007runge,
  title={Runge-kutta methods},
  author={Butcher, John},
  journal={Scholarpedia},
  volume={2},
  number={9},
  pages={3147},
  year={2007}
}

@inproceedings{chen2021reconstructing,
  title={Reconstructing High-resolution Turbulent Flows Using Physics-Guided Neural Networks},
  author={Chen, Shengyu and Sammak, Shervin and Givi, Peyman and Yurko, Joseph P and Jia, Xiaowei},
  booktitle={2021 IEEE International Conference on Big Data (Big Data)},
  pages={1369--1379},
  year={2021},
  organization={IEEE}
}



@ARTICLE{LSTM,
  author={Hochreiter, Sepp and Schmidhuber, Jürgen},
  journal={Neural Computation}, 
  title={Long Short-Term Memory}, 
  year={1997},
  volume={9},
  number={8},
  pages={1735-1780},
  doi={10.1162/neco.1997.9.8.1735}}


@inproceedings{albawi2017understanding,
  title={Understanding of a convolutional neural network},
  author={Albawi, Saad and Mohammed, Tareq Abed and Al-Zawi, Saad},
  booktitle={2017 international conference on engineering and technology (ICET)},
  pages={1--6},
  year={2017},
  organization={Ieee}
}


@book{CFD1995,
  title={Computational fluid dynamics},
  author={Anderson, John David and Wendt, John},
  volume={206},
  year={1995},
  publisher={Springer}
}

@BOOK{Sagaut05,
  title = {Large Eddy Simulation for Incompressible Flows},
  publisher = {Springer-Verlag},
  year = {2005},
  author = {Sagaut, P.},
  address = {New York, NY}
}




@BOOK{Davidson2015,
  title = {Turbulence},
  publisher = {Oxford University Press},
  year = {2015},
  author = {P.A. Davidson},
  address = {Oxford, UK.}
}



@article{givi1989model,
  title={Model-free simulations of turbulent reactive flows},
  author={Givi, Peyman},
  journal={Progress in Energy and Combustion Science},
  volume={15},
  number={1},
  pages={1--107},
  year={1989},
  publisher={Elsevier}
}

@book{pope2000turbulent,
  title={Turbulent flows},
  author={Pope, Stephen B and Pope, Stephen B},
  year={2000},
  publisher={Cambridge university press}
}


@article{Cheo2003SR,
  title={Super-resolution image reconstruction: a technical overview},
  author={Park, Sung Cheol and Park, Min Kyu and Kang, Moon Gi},
  journal={IEEE signal processing magazine},
  volume={20},
  number={3},
  pages={21--36},
  year={2003},
  publisher={IEEE}
}
  
@inproceedings{dong2014learning,
  title={Learning a deep convolutional network for image super-resolution},
  author={Dong, Chao and Loy, Chen Change and He, Kaiming and Tang, Xiaoou},
  booktitle={European conference on computer vision},
  pages={184--199},
  year={2014},
  organization={Springer}
}

@inproceedings{zhang2018image,
  title={Image super-resolution using very deep residual channel attention networks},
  author={Zhang, Yulun and Li, Kunpeng and Li, Kai and Wang, Lichen and Zhong, Bineng and Fu, Yun},
  booktitle={Proceedings of the European conference on computer vision (ECCV)},
  pages={286--301},
  year={2018}
}


@inproceedings{ledig2017photo,
  title={Photo-realistic single image super-resolution using a generative adversarial network},
  author={Ledig, Christian and Theis, Lucas and Husz{\'a}r, Ferenc and Caballero, Jose and Cunningham, Andrew and Acosta, Alejandro and Aitken, Andrew and Tejani, Alykhan and Totz, Johannes and Wang, Zehan and others},
  booktitle={Proceedings of the IEEE conference on computer vision and pattern recognition},
  pages={4681--4690},
  year={2017}
}

@article{geiss2020invertible,
  title={Invertible CNN-Based Super Resolution with Downsampling Awareness},
  author={Geiss, Andrew and Hardin, Joseph C},
  journal={arXiv preprint arXiv:2011.05586},
  year={2020}
}

@article{mccann2017convolutional,
  title={Convolutional neural networks for inverse problems in imaging: A review},
  author={McCann, Michael T and others},
  journal={IEEE Signal Processing Magazine},
  volume={34},
  number={6},
  pages={85--95},
  year={2017},
  publisher={IEEE}
}



@article{liu2020deep,
  title={Deep learning methods for super-resolution reconstruction of turbulent flows},
  author={Liu, Bo and Tang, Jiupeng and Huang, Haibo and Lu, Xi-Yun},
  journal={Physics of Fluids},
  volume={32},
  number={2},
  pages={025105},
  year={2020},
  publisher={AIP Publishing LLC}
}


@article{xie2018tempogan,
  title={tempogan: A temporally coherent, volumetric gan for super-resolution fluid flow},
  author={Xie, You and Franz, Erik and Chu, Mengyu and Thuerey, Nils},
  journal={ACM Transactions on Graphics (TOG)},
  volume={37},
  number={4},
  pages={1--15},
  year={2018},
  publisher={ACM New York, NY, USA}
}


@article{fukami2019super,
  title={Super-resolution reconstruction of turbulent flows with machine learning},
  author={Fukami, Kai and Fukagata, Koji and Taira, Kunihiko},
  journal={Journal of Fluid Mechanics},
  volume={870},
  pages={106--120},
  year={2019},
  publisher={Cambridge University Press}
}

@article{brachet1984taylor,
  title={The Taylor-Green vortex and fully developed turbulence},
  author={Brachet, Marc E and Meiron, D and Orszag, S and Nickel, B and Morf, R and Frisch, Uriel},
  journal={Journal of Statistical Physics},
  volume={34},
  number={5},
  pages={1049--1063},
  year={1984},
  publisher={Springer}
}

@article{o2015introduction,
  title={An introduction to convolutional neural networks},
  author={O'Shea, Keiron and Nash, Ryan},
  journal={arXiv preprint arXiv:1511.08458},
  year={2015}
}

@inproceedings{ioffe2015batch,
  title={Batch normalization: Accelerating deep network training by reducing internal covariate shift},
  author={Ioffe, Sergey and Szegedy, Christian},
  booktitle={International conference on machine learning},
  pages={448--456},
  year={2015},
  organization={PMLR}
}

@inproceedings{he2015delving,
  title={Delving deep into rectifiers: Surpassing human-level performance on imagenet classification},
  author={He, Kaiming and Zhang, Xiangyu and Ren, Shaoqing and Sun, Jian},
  booktitle={Proceedings of the IEEE international conference on computer vision},
  pages={1026--1034},
  year={2015}
}


@article{goodfellow2014generative,
  title={Generative adversarial networks},
  author={Goodfellow, Ian J and Pouget-Abadie, Jean and Mirza, Mehdi and Xu, Bing and Warde-Farley, David and Ozair, Sherjil and Courville, Aaron and Bengio, Yoshua},
  journal={arXiv preprint arXiv:1406.2661},
  year={2014}
}

@inproceedings{arjovsky2017wasserstein,
  title={Wasserstein generative adversarial networks},
  author={Arjovsky, Martin and Chintala, Soumith and Bottou, L{\'e}on},
  booktitle={International conference on machine learning},
  pages={214--223},
  year={2017},
  organization={PMLR}
}


@article{gulrajani2017improved,
  title={Improved training of wasserstein gans},
  author={Gulrajani, Ishaan and Ahmed, Faruk and Arjovsky, Martin and Dumoulin, Vincent and Courville, Aaron C},
  journal={Advances in neural information processing systems},
  volume={30},
  year={2017}
}

@article{wang2004image,
  title={Image quality assessment: from error visibility to structural similarity},
  author={Wang, Zhou and Bovik, Alan C and Sheikh, Hamid R and Simoncelli, Eero P},
  journal={IEEE transactions on image processing},
  volume={13},
  number={4},
  pages={600--612},
  year={2004},
  publisher={IEEE}
}
@book{foias2001navier,
  title={Navier-Stokes equations and turbulence},
  author={Foias, Ciprian and Manley, Oscar and Rosa, Ricardo and Temam, Roger},
  volume={83},
  year={2001},
  publisher={Cambridge University Press}
}

@article{kingma2014adam_arxiv,
  title={Adam: A method for stochastic optimization},
  author={Kingma, Diederik P and Ba, Jimmy},
  journal={arXiv preprint arXiv:1412.6980},
  year={2014}
}


@inproceedings{wang2018esrgan,
  title={Esrgan: Enhanced super-resolution generative adversarial networks},
  author={Wang, Xintao and Yu, Ke and Wu, Shixiang and Gu, Jinjin and Liu, Yihao and Dong, Chao and Qiao, Yu and Change Loy, Chen},
  booktitle={Proceedings of the European conference on computer vision (ECCV) workshops},
  pages={0--0},
  year={2018}
}

@article{willard2020integrating,
  title={Integrating physics-based modeling with machine learning: A survey},
  author={Willard, Jared and Jia, Xiaowei and Xu, Shaoming and Steinbach, Michael and Kumar, Vipin},
  journal={arXiv preprint arXiv:2003.04919},
  year={2020}
}

@article{karpatne2017physics,
  title={Physics-guided Neural Networks (PGNN): An Application in Lake Temperature Modeling},
  author={Karpatne, Anuj and Watkins, William and Read, Jordan and Kumar, Vipin},
  journal={arXiv preprint arXiv:1710.11431},
  year={2017}
}



@inproceedings{jia2019sdm2,
  title={Physics guided RNNs for modeling dynamical systems: A case study in simulating lake temperature profiles},
  author={Jia, Xiaowei and Willard, Jared and Karpatne, Anuj and Read, Jordan and Zwart, Jacob and Steinbach, Michael and Kumar, Vipin},
  booktitle={Proceedings of the 2019 SIAM International Conference on Data Mining},
  pages={558--566},
  year={2019},
  organization={SIAM}
}

@article{read2019process,
  title={Process-guided deep learning predictions of lake water temperature},
  author={Read, Jordan S and Jia, Xiaowei and Willard, Jared and Appling, Alison P and Zwart, Jacob A and Oliver, Samantha K and Karpatne, Anuj and Hansen, Gretchen JA and Hanson, Paul C and Watkins, William and others},
  journal={Water Resources Research},
  volume={55},
  number={11},
  pages={9173--9190},
  year={2019},
  publisher={Wiley Online Library}
}

@article{Adar2020physical,
  title={Obstacle segmentation based on the wave equation and deep learning},
  author={Adar Kahana and Eli, Turkel and Shai, Dekel and Dan, Givoli},
  journal={Journal of Computational Physics},
  volume={413},
  pages={109458},
  year={2020}
}

@article{raissi2019physics,
  title={Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations},
  author={Raissi, Maziar and Perdikaris, Paris and Karniadakis, George E},
  journal={Journal of Computational Physics},
  volume={378},
  pages={686--707},
  year={2019},
  publisher={Elsevier}
}

@article{Zhu2019physical,
  title={Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data},
  author={Zhu,Yinhao and Zabaras,Nicholas and Koutsourelakis,Phaedon-Stelios and Perdikaris,Paris},
  journal={Journal of Computational Physics},
  volume={394},
  pages={56-81},
  year={2019}
}


@proceedings{Nawab2020,
    author = {Nawab, Ahmad and Wang, Feng and di Mare, Luca and Adamczyk, John J.},
    title = "{Reynolds Stress Field and Turbulent Kinetic Energy Budget in a Repeating Compressor Stage}",
    volume = {Volume 2E: Turbomachinery},
    series = {Turbo Expo: Power for Land, Sea, and Air},
    year = {2020},
    month = {09},
    doi = {10.1115/GT2020-14804},
    note = {V02ET41A017}
}


@article{Fukami_2020,
   title={Machine-learning-based spatio-temporal super resolution reconstruction of turbulent flows},
   volume={909},
   ISSN={1469-7645},
   url={http://dx.doi.org/10.1017/jfm.2020.948},
   DOI={10.1017/jfm.2020.948},
   journal={Journal of Fluid Mechanics},
   publisher={Cambridge University Press (CUP)},
   author={Fukami, Kai and Fukagata, Koji and Taira, Kunihiko},
   year={2020},
   month={Dec}
}

@inproceedings{Deng2019SuperresolutionRO1,
  title={Super-resolution reconstruction of turbulent velocity fields using a generative adversarial network-based artificial intelligence framework},
  author={Zhiwen Deng and Chuangxin He and Yingzheng Liu and Kyung Chun Kim},
  year={2019}
}

@article{Deng2019SuperresolutionRO,
  title={Super-resolution reconstruction of turbulent velocity fields using a generative adversarial network-based artificial intelligence framework},
  author={Deng, Zhiwen and He, Chuangxin and Liu, Yingzheng and Kim, Kyung Chun},
  journal={Physics of Fluids},
  volume={31},
  number={12},
  pages={125111},
  year={2019},
  publisher={AIP Publishing LLC}
}

@article{Deng2019SuperresolutionRO2,
author = {Deng,Zhiwen  and He,Chuangxin  and Liu,Yingzheng  and Kim,Kyung Chun },
title = {Super-resolution reconstruction of turbulent velocity fields using a generative adversarial network-based artificial intelligence framework},
journal = {Physics of Fluids},
volume = {31},
number = {12},
pages = {125111},
year = {2019},
}


}

  
@inproceedings{gan8759375,
  title={Robust super-resolution GAN, with manifold-based and perception loss},
  author={Upadhyay, Uddeshya and Awate, Suyash P},
  booktitle={2019 IEEE 16th International Symposium on Biomedical Imaging (ISBI 2019)},
  pages={1372--1376},
  year={2019},
  organization={IEEE}
}
  
  


@article{cheng2021mfagan,
  title={Mfagan: A compression framework for memory-efficient on-device super-resolution gan},
  author={Cheng, Wenlong and Zhao, Mingbo and Ye, Zhiling and Gu, Shuhang},
  journal={arXiv preprint arXiv:2107.12679},
  year={2021}
}

@article{karras2017progressive,
  title={Progressive growing of gans for improved quality, stability, and variation},
  author={Karras, Tero and Aila, Timo and Laine, Samuli and Lehtinen, Jaakko},
  journal={arXiv preprint arXiv:1710.10196},
  year={2017}
}

  
@inproceedings{Duong2021,
  title={A fast and efficient super-resolution network using hierarchical dense residual learning},
  author={Van Duong, Vinh and Huu, Thuc Nguyen and Yim, Jonghoon and Jeon, Byeungwoo},
  booktitle={2021 IEEE International Conference on Image Processing (ICIP)},
  pages={1809--1813},
  year={2021},
  organization={IEEE}
}  
  

  
@inproceedings{Long2021,
  title={Ranksrgan: Generative adversarial networks with ranker for image super-resolution},
  author={Zhang, Wenlong and Liu, Yihao and Dong, Chao and Qiao, Yu},
  booktitle={Proceedings of the IEEE/CVF International Conference on Computer Vision},
  pages={3096--3105},
  year={2019}
}
  
  @misc{karras2018progressive,
      title={Progressive Growing of GANs for Improved Quality, Stability, and Variation}, 
      author={Tero Karras and Timo Aila and Samuli Laine and Jaakko Lehtinen},
      year={2018},
      eprint={1710.10196},
      archivePrefix={arXiv},
      primaryClass={cs.NE}
}

@misc{chen2017fsrnet,
      title={FSRNet: End-to-End Learning Face Super-Resolution with Facial Priors}, 
      author={Yu Chen and Ying Tai and Xiaoming Liu and Chunhua Shen and Jian Yang},
      year={2017},
      eprint={1711.10703},
      archivePrefix={arXiv},
      primaryClass={cs.CV}
}

@inproceedings{wang2018recovering,
  title={Recovering realistic texture in image super-resolution by deep spatial feature transform},
  author={Wang, Xintao and Yu, Ke and Dong, Chao and Loy, Chen Change},
  booktitle={Proceedings of the IEEE conference on computer vision and pattern recognition},
  pages={606--615},
  year={2018}
}

@INCOLLECTION{OP72,
  author = {Orszag, S. A. and Patterson, G. S.},
  title = {Numerical Simulation of Turbulence},
  booktitle = {Statistical Models and Turbulence},
  publisher = {Springer-Verlag},
  year = {1986},
  pages = {127--147},
  address = {New York, NY}
}

@inproceedings{chen2018fsrnet,
  title={Fsrnet: End-to-end learning face super-resolution with facial priors},
  author={Chen, Yu and Tai, Ying and Liu, Xiaoming and Shen, Chunhua and Yang, Jian},
  booktitle={Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition},
  pages={2492--2501},
  year={2018}
}



  
@inproceedings{Dai2019,
  title={Second-order attention network for single image super-resolution},
  author={Dai, Tao and Cai, Jianrui and Zhang, Yongbing and Xia, Shu-Tao and Zhang, Lei},
  booktitle={Proceedings of the IEEE/CVF conference on computer vision and pattern recognition},
  pages={11065--11074},
  year={2019}
}
  
@inproceedings{Tai2017,
  title={Image super-resolution via deep recursive residual network},
  author={Tai, Ying and Yang, Jian and Liu, Xiaoming},
  booktitle={Proceedings of the IEEE conference on computer vision and pattern recognition},
  pages={3147--3155},
  year={2017}
}  


@inproceedings{zhang2018residual,
  title={Residual dense network for image super-resolution},
  author={Zhang, Yulun and Tian, Yapeng and Kong, Yu and Zhong, Bineng and Fu, Yun},
  booktitle={Proceedings of the IEEE conference on computer vision and pattern recognition},
  pages={2472--2481},
  year={2018}
}


@inproceedings{ahn2018fast,
  title={Fast, accurate, and lightweight super-resolution with cascading residual network},
  author={Ahn, Namhyuk and Kang, Byungkon and Sohn, Kyung-Ah},
  booktitle={Proceedings of the European conference on computer vision (ECCV)},
  pages={252--268},
  year={2018}
}

@inproceedings{lim2017enhanced,
  title={Enhanced deep residual networks for single image super-resolution},
  author={Lim, Bee and Son, Sanghyun and Kim, Heewon and Nah, Seungjun and Mu Lee, Kyoung},
  booktitle={Proceedings of the IEEE conference on computer vision and pattern recognition workshops},
  pages={136--144},
  year={2017}
}

@inproceedings{kim2016accurate,
  title={Accurate image super-resolution using very deep convolutional networks},
  author={Kim, Jiwon and Lee, Jung Kwon and Lee, Kyoung Mu},
  booktitle={Proceedings of the IEEE conference on computer vision and pattern recognition},
  pages={1646--1654},
  year={2016}
}





@book{batchelor2000introduction,
  title={An introduction to fluid dynamics},
  author={Batchelor, Cx K and Batchelor, GK},
  year={2000},
  publisher={Cambridge university press}
}

@book{tan1992shallow,
  title={Shallow water hydrodynamics: Mathematical theory and numerical solution for a two-dimensional system of shallow-water equations},
  author={Tan, Wei-Yan},
  year={1992},
  publisher={Elsevier}
}


@book{heinrich1987finite,
  title={Finite difference methods on irregular networks: a generalized approach to second order elliptic problems},
  author={Heinrich, Bernd},
  year={1987},
  publisher={Springer}
}


@book{mclean2012understanding,
  title={Understanding aerodynamics: arguing from the real physics},
  author={McLean, Doug},
  year={2012},
  publisher={John Wiley \& Sons}
}


@article{jia2020physics,
  title={Physics-Guided Recurrent Graph Networks for Predicting Flow and Temperature in River Networks},
  author={Jia, Xiaowei and Zwart, Jacob and Sadler, Jeffery and Appling, Alison and Oliver, Samantha and Markstrom, Steven and Willard, Jared and Xu, Shaoming and Steinbach, Michael and Read, Jordan and others},
  journal={arXiv preprint arXiv:2009.12575},
  year={2020}
}




@inproceedings{jia2021physics,
  title={Physics-guided recurrent graph model for predicting flow and temperature in river networks},
  author={Jia, Xiaowei and Zwart, Jacob and Sadler, Jeffrey and Appling, Alison and Oliver, Samantha and Markstrom, Steven and Willard, Jared and Xu, Shaoming and Steinbach, Michael and Read, Jordan and others},
  booktitle={Proceedings of the 2021 SIAM International Conference on Data Mining (SDM)},
  pages={612--620},
  year={2021},
  organization={SIAM}
}

@Article{NNGLP17,
  Title                    = {{S}elf-{C}ontained {F}iltered {D}ensity {F}unction},
  Author                   = {Nouri, A. G. and Nik, M. B. and Givi, P. and Livescu, D. and Pope, S. B.},
  Journal                  = {Physical Review Fluids},
  Year                     = {2017},

  Month                    = {Sep},
  Pages                    = {094603},
  Volume                   = {2},

  Doi                      = {10.1103/PhysRevFluids.2.094603},
  Issue                    = {9},
  Numpages                 = {20},
  Owner                    = {shervin},
  Publisher                = {American Physical Society},
  Timestamp                = {2018.05.25},
  Url                      = {https://link.aps.org/doi/10.1103/PhysRevFluids.2.094603}
}

@InCollection{Givi94,
  Title                    = {Spectral and Random Vortex Methods in Turbulent Reacting Flows},
  Author                   = {Givi, P.},
  Booktitle                = {Turbulent Reacting Flows},
  Publisher                = {Academic Press},
  Year                     = {1994},

  Address                  = {London, England},
  Chapter                  = {8},
  Editor                   = {Libby, P. A. and Williams, F. A.},
  Pages                    = {475--572},

  Crossref                 = {LW94},
  Owner                    = {shervin},
  Timestamp                = {2018.05.25}
}

@Book{LW94,
  Title                    = {Turbulent Reacting Flows},
  Editor                   = {P. A. Libby and F. A. Williams},
  Publisher                = {Academic Press},
  Year                     = {1994},

  Address                  = {London, England},

  Owner                    = {shervin},
  Timestamp                = {2018.05.25}
}

@article{dugdale2017river,
  title={River temperature modelling: A review of process-based approaches and future directions},
  author={Dugdale, Stephen J and Hannah, David M and Malcolm, Iain A},
  journal={Earth-Science Reviews},
  volume={175},
  pages={97--113},
  year={2017},
  publisher={Elsevier}
}


@misc{acheson1991elementary,
  title={Elementary fluid dynamics},
  author={Acheson, David J},
  year={1991},
  publisher={Acoustical Society of America}
}




@article{gavete2003improvements,
  title={Improvements of generalized finite difference method and comparison with other meshless method},
  author={Gavete, L and Gavete, ML and Benito, JJ},
  journal={Applied Mathematical Modelling},
  volume={27},
  number={10},
  pages={831--847},
  year={2003},
  publisher={Elsevier}
}

@article{benito2001influence,
  title={Influence of several factors in the generalized finite difference method},
  author={Benito, JJ and Urena, F and Gavete, L},
  journal={Applied Mathematical Modelling},
  volume={25},
  number={12},
  pages={1039--1053},
  year={2001},
  publisher={Elsevier}
}


@article{zhang2010asynchronously,
  title={Asynchronously switched control of switched linear systems with average dwell time},
  author={Zhang, Lixian and Gao, Huijun},
  journal={Automatica},
  volume={46},
  number={5},
  pages={953--958},
  year={2010},
  publisher={Elsevier}
}


@inproceedings{hespanha1999stability,
  title={Stability of switched systems with average dwell-time},
  author={Hespanha, Joao P and Morse, A Stephen},
  booktitle={Proceedings of the 38th IEEE conference on decision and control (Cat. No. 99CH36304)},
  volume={3},
  pages={2655--2660},
  year={1999},
  organization={IEEE}
}


@article{allerhand2010robust,
  title={Robust stability and stabilization of linear switched systems with dwell time},
  author={Allerhand, Liron I and Shaked, Uri},
  journal={IEEE Transactions on Automatic Control},
  volume={56},
  number={2},
  pages={381--386},
  year={2010},
  publisher={IEEE}
}


@article{morse1996supervisory,
  title={Supervisory control of families of linear set-point controllers-part i. exact matching},
  author={Morse, A Stephen},
  journal={IEEE transactions on Automatic Control},
  volume={41},
  number={10},
  pages={1413--1431},
  year={1996},
  publisher={IEEE}
}

@inproceedings{pettersson2001stabilization,
  title={Stabilization of hybrid systems using a min-projection strategy},
  author={Pettersson, Stefan and Lennartson, Bengt},
  booktitle={Proceedings of the 2001 American Control Conference.(Cat. No. 01CH37148)},
  volume={1},
  pages={223--228},
  year={2001},
  organization={IEEE}
}



@article{margaliot2003necessary,
  title={Necessary and sufficient conditions for absolute stability: the case of second-order systems},
  author={Margaliot, Michael and Langholz, Gideon},
  journal={IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications},
  volume={50},
  number={2},
  pages={227--234},
  year={2003},
  publisher={IEEE}
}


@inproceedings{johansson1997computation,
  title={Computation of piecewise quadratic Lyapunov functions for hybrid systems},
  author={Johansson, Mikael and Rantzer, Anders},
  booktitle={1997 European Control Conference (ECC)},
  pages={2005--2010},
  year={1997},
  organization={IEEE}
}



@article{zhang2016mode,
  title={Mode-identifying time estimation and switching-delay tolerant control for switched systems: An elementary time unit approach},
  author={Zhang, Lixian and Xiang, Weiming},
  journal={Automatica},
  volume={64},
  pages={174--181},
  year={2016},
  publisher={Elsevier}
}

@article{xu2016reachable,
  title={Reachable set estimation for Markovian jump neural networks with time-varying delays},
  author={Xu, Zhaowen and Su, Hongye and Shi, Peng and Lu, Renquan and Wu, Zheng-Guang},
  journal={IEEE transactions on cybernetics},
  volume={47},
  number={10},
  pages={3208--3217},
  year={2016},
  publisher={IEEE}
}

@article{xiang2014stabilization,
  title={Stabilization of switched continuous-time systems with all modes unstable via dwell time switching},
  author={Xiang, Weiming and Xiao, Jian},
  journal={Automatica},
  volume={50},
  number={3},
  pages={940--945},
  year={2014},
  publisher={Elsevier}
}


@article{xiang2017robust,
  title={Robust exponential stability and disturbance attenuation for discrete-time switched systems under arbitrary switching},
  author={Xiang, Weiming and Tran, Hoang-Dung and Johnson, Taylor T},
  journal={IEEE Transactions on Automatic Control},
  volume={63},
  number={5},
  pages={1450--1456},
  year={2017},
  publisher={IEEE}
}

@article{xiang2017output,
  title={Output reachable set estimation for switched linear systems and its application in safety verification},
  author={Xiang, Weiming and Tran, Hoang-Dung and Johnson, Taylor T},
  journal={IEEE Transactions on Automatic Control},
  volume={62},
  number={10},
  pages={5380--5387},
  year={2017},
  publisher={IEEE}
}

@inproceedings{xiang2017reachable,
  title={On reachable set estimation for discrete-time switched linear systems under arbitrary switching},
  author={Xiang, Weiming and Tran, Hoang-Dung and Johnson, Taylor T},
  booktitle={2017 American Control Conference (ACC)},
  pages={4534--4539},
  year={2017},
  organization={IEEE}
}


@article{xiang2017stability,
  title={Stability analysis and L1-gain characterization for switched positive systems under dwell-time constraint},
  author={Xiang, Weiming and Lam, James and Shen, Jun},
  journal={Automatica},
  volume={85},
  pages={1--8},
  year={2017},
  publisher={Elsevier}
}


@article{xiang2018parameter,
  title={Parameter-memorized Lyapunov functions for discrete-time systems with time-varying parametric uncertainties},
  author={Xiang, Weiming},
  journal={Automatica},
  volume={87},
  pages={450--454},
  year={2018},
  publisher={Elsevier}
}


@article{xiang2016necessary,
  title={Necessary and sufficient condition for stability of switched uncertain linear systems under dwell-time constraint},
  author={Xiang, Weiming},
  journal={IEEE Transactions on Automatic Control},
  volume={61},
  number={11},
  pages={3619--3624},
  year={2016},
  publisher={IEEE}
}


@article{xiang2015equivalence,
  title={On equivalence of two stability criteria for continuous-time switched systems with dwell time constraint},
  author={Xiang, Weiming},
  journal={Automatica},
  volume={54},
  pages={36--40},
  year={2015},
  publisher={Elsevier}
}

@book{halmos2017naive,
  title={Naive set theory},
  author={Halmos, Paul R},
  year={2017},
  publisher={Courier Dover Publications}
}


@article{prieur2014stability,
  title={Stability of switched linear hyperbolic systems by Lyapunov techniques},
  author={Prieur, Christophe and Girard, Antoine and Witrant, Emmanuel},
  journal={IEEE Transactions on Automatic control},
  volume={59},
  number={8},
  pages={2196--2202},
  year={2014},
  publisher={IEEE}
}

@article{yang2013stability,
  title={On stability of non-linear and switched parabolic systems},
  author={Yang, Hao and Jiang, Bin},
  journal={IET Control Theory \& Applications},
  volume={7},
  number={5},
  pages={749--756},
  year={2013},
  publisher={IET}
}

@inproceedings{lee2008cyber,
  title={Cyber physical systems: Design challenges},
  author={Lee, Edward A},
  booktitle={2008 11th IEEE International Symposium on Object and Component-Oriented Real-Time Distributed Computing (ISORC)},
  pages={363--369},
  year={2008},
  organization={IEEE}
}

@article{krishna2015hybrid,
  title={Hybrid automata for formal modeling and verification of cyber-physical systems},
  author={Krishna, Shankara Narayanan and Trivedi, Ashutosh},
  journal={arXiv preprint arXiv:1503.04928},
  year={2015}
}

@book{halmos2013measure,
  title={Measure theory},
  author={Halmos, Paul R},
  volume={18},
  year={2013},
  publisher={Springer}
}

@article{lygeros2010stochastic,
  title={Stochastic hybrid systems: a powerful framework for complex, large scale applications},
  author={Lygeros, John and Prandini, Maria},
  journal={European Journal of Control},
  volume={16},
  number={6},
  pages={583--594},
  year={2010},
  publisher={Elsevier}
}

@inproceedings{hu2000towards,
  title={Towards a theory of stochastic hybrid systems},
  author={Hu, Jianghai and Lygeros, John and Sastry, Shankar},
  booktitle={International Workshop on Hybrid Systems: Computation and Control},
  pages={160--173},
  year={2000},
  organization={Springer}
}

@article{lygeros2003dynamical,
  title={Dynamical properties of hybrid automata},
  author={Lygeros, John and Johansson, Karl Henrik and Simic, Slobodan N and Zhang, Jun and Sastry, Shankar S},
  journal={IEEE Transactions on automatic control},
  volume={48},
  number={1},
  pages={2--17},
  year={2003},
  publisher={IEEE}
}

@article{manna1995temporal,
  title={Temporal verification of reactive systems: safety},
  author={Manna, Zohar and Pnueli, Amir},
  year={1995},
  publisher={Springer-Verlag New York, Inc.}
}


@article{alur1999reactive,
  title={Reactive modules},
  author={Alur, Rajeev and Henzinger, Thomas A},
  journal={Formal methods in system design},
  volume={15},
  number={1},
  pages={7--48},
  year={1999},
  publisher={Springer}
}

@inproceedings{lygeros1999existence,
  title={On the existence of executions of hybrid automata},
  author={Lygeros, John and Johansson, Karl Henrik and Sastry, Shankar and Egerstedt, Magnus},
  booktitle={Decision and Control, 1999. Proceedings of the 38th IEEE Conference on},
  volume={3},
  pages={2249--2254},
  year={1999},
  organization={IEEE}
}

@article{rauch1981jump,
  title={Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: Creation and propagation},
  author={Rauch, Jeffrey and Reed, Michael},
  journal={Communications in Mathematical Physics},
  volume={81},
  number={2},
  pages={203--227},
  year={1981},
  publisher={Springer}
}



@article{fadali2012sliding,
  title={Sliding mode control},
  author={Fadali, M SAMI}
}

@article{sogokon2017operational,
  title={Operational Models for Piecewise-Smooth Systems},
  author={Sogokon, Andrew and Ghorbal, Khalil and Johnson, Taylor T},
  journal={ACM Transactions on Embedded Computing Systems (TECS)},
  volume={16},
  number={5s},
  pages={185},
  year={2017},
  publisher={ACM}
}

@article{jameson1995analysis,
  title={Analysis and design of numerical schemes for gas dynamics, 2: Artificial diffusion and discrete shock structure},
  author={Jameson, Antony},
  journal={International Journal of Computational Fluid Dynamics},
  volume={5},
  number={1-2},
  pages={1--38},
  year={1995},
  publisher={Taylor \& Francis}
}



@article{gulrajani2017improved,
  title={Improved training of wasserstein gans},
  author={Gulrajani, Ishaan and Ahmed, Faruk and Arjovsky, Martin and Dumoulin, Vincent and Courville, Aaron},
  journal={arXiv preprint arXiv:1704.00028},
  year={2017}
}







@article{simonyan2014very,
  title={Very deep convolutional networks for large-scale image recognition},
  author={Simonyan, Karen and Zisserman, Andrew},
  journal={arXiv preprint arXiv:1409.1556},
  year={2014}
}

@book{foias2001navier,
  title={Navier-Stokes equations and turbulence},
  author={Foias, Ciprian and Manley, Oscar and Rosa, Ricardo and Temam, Roger},
  volume={83},
  year={2001},
  publisher={Cambridge University Press}
}



@misc{SRGAN_code,
  title = {SRGAN Keras implementation},
  howpublished = {\url{https://github.com/eriklindernoren/Keras-GAN/tree/master/srgan}},
  year = 2016,
  note = {Accessed: 2016-05-01}
}

@article{geiss2020invertible,
  title={Invertible CNN-Based Super Resolution with Downsampling Awareness},
  author={Geiss, Andrew and Hardin, Joseph C},
  journal={arXiv preprint arXiv:2011.05586},
  year={2020}
}

@article{mccann2017convolutional,
  title={Convolutional neural networks for inverse problems in imaging: A review},
  author={McCann, Michael T and Jin, Kyong Hwan and Unser, Michael},
  journal={IEEE Signal Processing Magazine},
  volume={34},
  number={6},
  pages={85--95},
  year={2017},
  publisher={IEEE}
}

@book{NS_equation2001, 
place={Cambridge},
series={Encyclopedia of Mathematics and its Applications}, title={Navier-Stokes Equations and Turbulence}, DOI={10.1017/CBO9780511546754}, 
publisher={Cambridge University Press}, 
author={Foias, C. and Manley, O. and Rosa, R. and Temam, R.}, 
year={2001}, 
collection={Encyclopedia of Mathematics and its Applications}}



@article{stengel2020adversarial,
  title={Adversarial super-resolution of climatological wind and solar data},
  author={Stengel, Karen and Glaws, Andrew and Hettinger, Dylan and King, Ryan N},
  journal={Proceedings of the National Academy of Sciences},
  volume={117},
  number={29},
  pages={16805--16815},
  year={2020},
  publisher={National Acad Sciences}
}

@article{bode2021using,
  title={Using physics-informed enhanced super-resolution generative adversarial networks for subfilter modeling in turbulent reactive flows},
  author={Bode, Mathis and Gauding, Michael and Lian, Zeyu and Denker, Dominik and Davidovic, Marco and Kleinheinz, Konstantin and Jitsev, Jenia and Pitsch, Heinz},
  journal={Proceedings of the Combustion Institute},
  volume={38},
  number={2},
  pages={2617--2625},
  year={2021},
  publisher={Elsevier}
}



@inproceedings{venkatesh2021comparative,
  title={A comparative study of various Deep Learning techniques for spatio-temporal Super-Resolution reconstruction of Forced Isotropic Turbulent flows},
  author={Venkatesh, TS Sachin and Srivastava, Rajat and Bhatt, Pratyush and Tyagi, Prince and Singh, Raj Kumar},
  booktitle={ASME International Mechanical Engineering Congress and Exposition},
  volume={85666},
  pages={V010T10A061},
  year={2021},
  organization={American Society of Mechanical Engineers}
}



@inproceedings{obiols2021surfnet,
  title={SURFNet: Super-resolution of Turbulent Flows with Transfer Learning using Small Datasets},
  author={Obiols-Sales, Octavi and Vishnu, Abhinav and Malaya, Nicholas P and Chandramowlishwaran, Aparna},
  booktitle={2021 30th International Conference on Parallel Architectures and Compilation Techniques (PACT)},
  pages={331--344},
  year={2021},
  organization={IEEE}
}


@article{willard2021integrating,
  title={Integrating scientific knowledge with machine learning for engineering and environmental systems},
  author={Willard, Jared and Jia, Xiaowei and Xu, Shaoming and Steinbach, Michael and Kumar, Vipin},
  journal={ACM Computing Surveys (CSUR)},
  year={2021},
  publisher={ACM New York, NY}
}



@inproceedings{bao2021partial,
  title={Partial Differential Equation Driven Dynamic Graph Networks for Predicting Stream Water Temperature},
  author={Bao, Tianshu and Jia, Xiaowei and Zwart, Jacob and Sadler, Jeffrey and Appling, Alison and Oliver, Samantha and Johnson, Taylor T},
  booktitle={2021 IEEE International Conference on Data Mining (ICDM)},
  pages={11--20},
  year={2021},
  organization={IEEE}
}

