Koopman neural operator as a mesh-free solver of non-linear partial differential equations.
Wei XiongXiaomeng HuangZiyang ZhangRuixuan DengPei SunYang TianPublished in: J. Comput. Phys. (2024)
Keyphrases
- partial differential equations
- differential operators
- image denoising
- numerical solution
- anisotropic diffusion
- level set
- image processing
- energy functional
- conservation laws
- numerical algorithms
- image enhancement
- finite element method
- numerical methods
- d mesh
- fourth order
- neural network
- problems in image processing
- multiscale
- differential equations
- diffusion equation
- high order
- mathematical morphology
- denoising
- boundary value problem
- heat equation
- curve evolution
- pairwise
- similarity measure
- computer vision