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20212023
most citedLearning finite difference methods for reaction-diffusion type equations with FCNN

12 citations · 31 across the 5 of their papers we have counts for

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cs.LG2023

Going Deeper with Five-point Stencil Convolutions for Reaction-Diffusion Equations

Yongho Kim, Yongho Choi

Physics-informed neural networks have been widely applied to partial differential equations with great success because the physics-informed loss essentially requires no observation…

math.DS2023★ 6 cited

Convolutional Autoencoders, Clustering and POD for Low-dimensional Parametrization of Navier-Stokes Equations

Yongho Kim, Jan Heiland

Simulations of large-scale dynamical systems require expensive computations. Low-dimensional parametrization of high-dimensional states such as Proper Orthogonal Decomposition (POD…