Physics-informed neural networks for high-speed flows
Mao, Zhiping, Jagtap, Ameya D., Karniadakis, George Em
Published in Computer methods in applied mechanics and engineering (01.03.2020)
Published in Computer methods in applied mechanics and engineering (01.03.2020)
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Journal Article
Machine learning of linear differential equations using Gaussian processes
Raissi, Maziar, Perdikaris, Paris, Karniadakis, George Em
Published in Journal of computational physics (01.11.2017)
Published in Journal of computational physics (01.11.2017)
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Journal Article
Physics-informed neural networks (PINNs) for fluid mechanics: a review
Cai, Shengze, Mao, Zhiping, Wang, Zhicheng, Yin, Minglang, Karniadakis, George Em
Published in Acta mechanica Sinica (01.12.2021)
Published in Acta mechanica Sinica (01.12.2021)
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Journal Article
Inferring solutions of differential equations using noisy multi-fidelity data
Raissi, Maziar, Perdikaris, Paris, Karniadakis, George Em
Published in Journal of computational physics (15.04.2017)
Published in Journal of computational physics (15.04.2017)
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Journal Article
Operator learning for predicting multiscale bubble growth dynamics
Lin, Chensen, Li, Zhen, Lu, Lu, Cai, Shengze, Maxey, Martin, Karniadakis, George Em
Published in The Journal of chemical physics (14.03.2021)
Published in The Journal of chemical physics (14.03.2021)
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Journal Article
Systems biology informed deep learning for inferring parameters and hidden dynamics
Yazdani, Alireza, Lu, Lu, Raissi, Maziar, Karniadakis, George Em
Published in PLoS computational biology (18.11.2020)
Published in PLoS computational biology (18.11.2020)
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Journal Article
Physics-informed neural networks for inverse problems in nano-optics and metamaterials
Chen, Yuyao, Lu, Lu, Karniadakis, George Em, Dal Negro, Luca
Published in Optics express (13.04.2020)
Published in Optics express (13.04.2020)
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Journal Article
Flow over an espresso cup: inferring 3-D velocity and pressure fields from tomographic background oriented Schlieren via physics-informed neural networks
Cai, Shengze, Wang, Zhicheng, Fuest, Frederik, Jeon, Young Jin, Gray, Callum, Karniadakis, George Em
Published in Journal of fluid mechanics (25.03.2021)
Published in Journal of fluid mechanics (25.03.2021)
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Journal Article
Deep learning of vortex-induced vibrations
Raissi, Maziar, Wang, Zhicheng, Triantafyllou, Michael S., Karniadakis, George Em
Published in Journal of fluid mechanics (25.02.2019)
Published in Journal of fluid mechanics (25.02.2019)
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Journal Article
Incorporation of memory effects in coarse-grained modeling via the Mori-Zwanzig formalism
Li, Zhen, Bian, Xin, Li, Xiantao, Karniadakis, George Em
Published in The Journal of chemical physics (28.12.2015)
Published in The Journal of chemical physics (28.12.2015)
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Journal Article
Computing the non-Markovian coarse-grained interactions derived from the Mori-Zwanzig formalism in molecular systems: Application to polymer melts
Li, Zhen, Lee, Hee Sun, Darve, Eric, Karniadakis, George Em
Published in The Journal of chemical physics (07.01.2017)
Published in The Journal of chemical physics (07.01.2017)
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Journal Article
nn-PINNs: Non-Newtonian physics-informed neural networks for complex fluid modeling
Mahmoudabadbozchelou, Mohammadamin, Karniadakis, George Em, Jamali, Safa
Published in Soft matter (22.12.2021)
Published in Soft matter (22.12.2021)
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Journal Article
Fractional-Order Viscoelasticity in One-Dimensional Blood Flow Models
Perdikaris, Paris, Karniadakis, George Em
Published in Annals of biomedical engineering (01.05.2014)
Published in Annals of biomedical engineering (01.05.2014)
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Journal Article