2 papers
math.AP2025
The strongly nonlocal Allen-Cahn problem
Erisa Hasani, Stefania Patrizi
We study the sharp interface limit of the fractional Allen-Cahn equation $$ \varepsilon \partial_t u^{\varepsilon} = \mathcal{I}^s_n [u^{\varepsilon}] -\frac{1}{\varepsilon ^{2s}}…
cs.LG2025
Generating synthetic data for neural operators
Erisa Hasani, Rachel A. Ward
Recent advances in the literature show promising potential of deep learning methods, particularly neural operators, in obtaining numerical solutions to partial differential equatio…