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math.NA2024★ 1 cited
Diffeomorphism Neural Operator for various domains and parameters of partial differential equations
Zhiwei Zhao, Changqing Liu, Yingguang Li +2
In scientific and engineering applications, solving partial differential equations (PDEs) across various parameters and domains normally relies on resource-intensive numerical meth…
math.NA2023★ 2 cited
Learning Neural Operators on Riemannian Manifolds
Gengxiang Chen, Xu Liu, Qinglu Meng +3
In Artificial Intelligence (AI) and computational science, learning the mappings between functions (called operators) defined on complex computational domains is a common theoretic…