[22] James M. Hyman and Basil Nicolaenko. The Kuramoto-Sivashinsky equation: A bridge between PDE'S and dynamical systems. Physica D: Nonlinear Phenomena, 18(1):113-126, January 1986.
[23] Kadierdan Kaheman, J. Nathan Kutz, and Steven L. Brunton. SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476(2242):20200279, October 2020. Publisher: Royal Society.
[24] Alan A. Kaptanoglu, Brian M. de Silva, Urban Fasel, Kadierdan Kaheman, Andy J. Goldschmidt, Jared Callaham, Charles B. Delahunt, Zachary G. Nicolaou, Kathleen Champion, Jean-Christophe Loiseau, J. Nathan Kutz, and Steven L. Brunton. Pysindy: A comprehensive python package for robust sparse system identification. Journal of Open Source Software, 7(69):3994, 2022.
[25] Doyo Kereyu and Genanew Gofe. Convergence Rates of Finite Difference Schemes for the Diffusion Equation with Neumann Boundary Conditions. American Journal of Computational and Applied Mathematics, page 11, 2016.
[26] John R. Koza. Genetic programming: on the programming of computers by means of natural selection. Complex adaptive systems. MIT Press, Cambridge, Mass, 1992.
[27] Yoshiki Kuramoto. Instability and Turbulence of Wavefronts in Reaction-Diffusion Systems. Progress of Theoretical Physics, 63(6):1885-1903, June 1980.
[28] Haitao Liu, Yew-Soon Ong, Xiaobo Shen, and Jianfei Cai. When gaussian process meets big data: A review of scalable GPs. IEEE Transactions on Neural Networks and Learning Systems, 31(11):4405-4423, 2020.
[29] Zichao Long, Yiping Lu, and Bin Dong. PDE-Net 2.0: Learning PDEs from data with a numeric-symbolic hybrid deep network. Journal of Computational Physics, 399:108925, December 2019.
[30] Zichao Long, Yiping Lu, Xianzhong Ma, and Bin Dong. PDE-Net: Learning PDEs from Data. In Proceedings of the 35th International Conference on Machine Learning, pages 3208–3216. PMLR, July 2018. ISSN: 2640-3498.
[31] Lynn H. Loomis. Advanced calculus / Lynn H. Loomis and Shlomo Sternberg. Addison-Wesley series in mathematics. Addison-Wesley Pub. Co., Reading, Mass.; London, 1968. Publication Title: Advanced calculus.
[32] N. M. Mangan, J. N. Kutz, S. L. Brunton, and J. L. Proctor. Model selection for dynamical systems via sparse regression and information criteria. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2204):20170009, August 2017.
[33] Niall M. Mangan, Steven L. Brunton, Joshua L. Proctor, and J. Nathan Kutz. Inferring Biological Networks by Sparse Identification of Nonlinear Dynamics. IEEE Transactions on Molecular, Biological and Multi-Scale Communications, 2(1):52-63, June 2016. Conference Name: IEEE Transactions on Molecular, Biological and Multi-Scale Communications.
[34] Mikhail Maslyaev, Alexander Hvatov, and Anna Kalyuzhnaya. Data-Driven Partial Derivative Equations Discovery with Evolutionary Approach. In João M. F. Rodrigues, Pedro J. S. Cardoso, Jánio Monteiro, Roberto Lam, Valeria V. Krzhizhanovskaya, Michael H. Lees, Jack J. Dongarra, and Peter M.A. Sloot, editors, Computational Science – ICCS 2019, Lecture Notes in Computer Science, pages 635–641, Cham, 2019. Springer International Publishing.
[35] Daniel A. Messenger and David M. Bortz. Weak SINDy for partial differential equations. Journal of Computational Physics, 443:110525, October 2021.
[36] Daniel A. Messenger and David M. Bortz. Weak SINDy: Galerkin-Based Data-Driven Model Selection. Multiscale Modeling & Simulation, 19(3):1474–1497, January 2021.