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The Journal of Chemical Physics|January 3, 2016
Incorporation of memory effects in coarse-grained modeling via the Mori-Zwanzig formalismZhen Li, Xin Bian, Xiantao Li, et al.
Science Advances|February 16, 2022
Analyses of internal structures and defects in materials using physics-informed neural networksEnrui Zhang, Ming Dao, George Em Karniadakis, et al.
Neural Networks : the Official Journal of the International Neural Network Society|May 16, 2024
Tackling the curse of dimensionality with physics-informed neural networksZheyuan Hu, Khemraj Shukla, George Em Karniadakis, et al.
Soft Matter|September 25, 2014
Construction of dissipative particle dynamics models for complex fluids via the Mori-Zwanzig formulationZhen Li, Xin Bian, Bruce Caswell, et al.
Neural Networks : the Official Journal of the International Neural Network Society|July 15, 2025
KKANs: Ku̇rková-Kolmogorov-Arnold networks and their learning dynamicsJuan Diego Toscano, Li-Lian Wang, George Em Karniadakis
Computer Methods in Applied Mechanics and Engineering|June 29, 2023
Interfacing finite elements with deep neural operators for fast multiscale modeling of mechanics problemsMinglang Yin, Enrui Zhang, Yue Yu, et al.
The Journal of Chemical Physics|July 10, 2015
Transport dissipative particle dynamics model for mesoscopic advection-diffusion-reaction problemsZhen Li, Alireza Yazdani, Alexandre Tartakovsky, et al.
The Journal of Chemical Physics|January 1, 2018
Construction of non-Markovian coarse-grained models employing the Mori-Zwanzig formalism and iterative Boltzmann inversionYuta Yoshimoto, Zhen Li, Ikuya Kinefuchi, et al.
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