2 papers
cs.LG2024
Dilated convolution neural operator for multiscale partial differential equations
Bo Xu, Xinliang Liu, Lei Zhang
This paper introduces a data-driven operator learning method for multiscale partial differential equations, with a particular emphasis on preserving high-frequency information. Dra…
cs.LG2024
Mitigating spectral bias for the multiscale operator learning
Xinliang Liu, Bo Xu, Shuhao Cao +1
Neural operators have emerged as a powerful tool for learning the mapping between infinite-dimensional parameter and solution spaces of partial differential equations (PDEs). In th…