Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations

Author:

Arbabi HassanORCID,Bunder Judith E.,Samaey Giovanni,Roberts Anthony J.,Kevrekidis Ioannis G.

Publisher

Springer Science and Business Media LLC

Subject

General Engineering,General Materials Science

Reference49 articles.

1. X. Liu, D. Furrer, J. Kosters, J. Holmes, Vision 2040: a roadmap for integrated, multiscale modeling and simulation of materials and systems. Technical report NASA STI Program, March (2018) https://ntrs.nasa.gov/search.jsp?R=20180002010

2. R. RicoMartinez, K. Krischer, I.G. Kevrekidis, M.C. Kube, J.L. Hudson, Discrete continuous-time nonlinear signal processing of Cu electrodissolution data. Chem. Eng. Commun. 118(1) (1992), 25-48

3. R. Rico-Martinez, I.G. Kevrekidis, and K. Krischer, Nonlinear system identification using neural networks: dynamics and instabilities, chapter 16, in Neural Networks in Chemistry and Chemical Engineering, ed. A. Bulsari (Elsevier Science, 1995)

4. R. Gonzalez-Garcia, R. Rico-Martinez, and I.G. Kevrekidis. Identification of distributed parameter systems: A neural net based approach. Comput. Chem. Eng. 22 (1998), S965–S968.

5. S.H. Rudy, S. L. Brunton, J. L. Proctor, J. Nathan, Data-driven discovery of partial differential equations. Sci. Adv. 3(4) (2017), 614–852

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