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math.NA2024
Entropy stable conservative flux form neural networks
Lizuo Liu, Tongtong Li, Anne Gelb +1
We propose an entropy-stable conservative flux form neural network (CFN) that integrates classical numerical conservation laws into a data-driven framework using the entropy-stable…
math.NA2024
A Bayesian framework for spectral reprojection
Tongtong Li, Anne Gelb
Fourier partial sum approximations yield exponential accuracy for smooth and periodic functions, but produce the infamous Gibbs phenomenon for non-periodic ones. Spectral reproject…