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math.NA2024
A Low Rank Neural Representation of Entropy Solutions
Donsub Rim, Gerrit Welper
We construct a new representation of entropy solutions to nonlinear scalar conservation laws with a smooth convex flux function in a single spatial dimension. The representation is…
math.NA2023★ 1 cited
Performance bounds for Reduced Order Models with Application to Parametric Transport
D. Rim, G. Welper
The Kolmogorov -width is an established benchmark to judge the performance of reduced basis and similar methods that produce linear reduced spaces. Although immensely successful…