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math.NA2025
Solving PDEs on Surfaces of Pipe Geometries Using New Coordinate Transformations and High-order Compact Finite Differences
Shuaifei Hu, Yujian Jiao, Desong Kong +1
We introduce suitable coordinate systems for pipes and their variants that allow us to transform partial differential equations (PDEs) on the pipe surfaces or in the solid pipes in…
math.NA2025
PODNO: Proper Orthogonal Decomposition Neural Operators
Zilan Cheng, Zhongjian Wang, Li-Lian Wang +1
In this paper, we introduce Proper Orthogonal Decomposition Neural Operators (PODNO) for solving partial differential equations (PDEs) dominated by high-frequency components. Build…