8 citations · 8 across the 2 of their papers we have counts for
3 papers
cs.LG2024
Diffeomorphic Latent Neural Operators for Data-Efficient Learning of Solutions to Partial Differential Equations
Zan Ahmad, Shiyi Chen, Minglang Yin +4
A computed approximation of the solution operator to a system of partial differential equations (PDEs) is needed in various areas of science and engineering. Neural operators have…
cs.LG2024
Graph Fourier Neural Kernels (G-FuNK): Learning Solutions of Nonlinear Diffusive Parametric PDEs on Multiple Domains
Shane E. Loeffler, Zan Ahmad, Syed Yusuf Ali +6
Predicting time-dependent dynamics of complex systems governed by non-linear partial differential equations (PDEs) with varying parameters and domains is a challenging task motivat…
cs.LG2024★ 8 cited
DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains
Minglang Yin, Nicolas Charon, Ryan Brody +3
The solution of a PDE over varying initial/boundary conditions on multiple domains is needed in a wide variety of applications, but it is computationally expensive if the solution…