no code implementations • 27 Apr 2022 • Nicolas Boullé, Seick Kim, Tianyi Shi, Alex Townsend
Neural operators are a popular technique in scientific machine learning to learn a mathematical model of the behavior of unknown physical systems from data.
no code implementations • 9 Sep 2020 • Seick Kim, Longjuan Xu
We construct Green's functions for second order parabolic operators of the form $Pu=\partial_t u-{\rm div}({\bf A} \nabla u+ \boldsymbol{b}u)+ \boldsymbol{c} \cdot \nabla u+du$ in $(-\infty, \infty) \times \Omega$, where $\Omega$ is an open connected set in $\mathbb{R}^n$.
Analysis of PDEs
