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math.NA2026
Geometric Generalization of Neural Operators from a Kernel Integral Perspective
Mingyu Han, Daniel Zhengyu Huang, Yuhan Wang +2
Neural operators are neural network-based surrogate models for approximating partial differential equation solution operators, enabling efficient many-query computations in science…
math.NA2025
Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries
Chenyu Zeng, Yanshu Zhang, Jiayi Zhou +5
Surrogate models are critical for accelerating computationally expensive simulations in science and engineering, particularly for solving parametric partial differential equations…