Communications in Computational Physics

Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

Ameya D. Jagtap, George Em Karniadakis · 2020 · 982 citations · Full text

Natural Sciences, Mathematics, Physics +17

Phase-Field Models for Multi-Component Fluid Flows

Junseok Kim · 2012 · 549 citations · Full text

Engineering, Computational Engineering, Physics +17

Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations

Shidong Jiang, Jiwei Zhang, Qian Zhang et al. · 2017 · 545 citations

Natural Sciences, Mathematics, Physics +13

Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

Zhi-Qin John Xu Zhi-Qin John Xu, Yaoyu Zhang, T. Luo et al. · 2020 · 485 citations · Full text

Computing, Computer Science, Artificial Intelligence +14

Spectral-Element and Adjoint Methods in Seismology

Jeroen Tromp, Dimitri Komatitsch, Qinya Liu · 2008 · 420 citations · Full text

Natural Sciences, Earth Sciences, Geophysics +14