A non-gradient method for solving elliptic partial differential equations with deep neural networks.
Yifan PengDan HuZin-Qin John XuPublished in: J. Comput. Phys. (2023)
Keyphrases
- partial differential equations
- gradient method
- neural network
- anisotropic diffusion
- level set
- image denoising
- numerical solution
- image processing
- boundary value problem
- numerical methods
- convergence rate
- image enhancement
- high order
- pattern recognition
- differential equations
- multiscale
- negative matrix factorization
- optimization methods
- step size
- denoising
- numerical algorithms
- higher order
- image segmentation
- natural images
- image analysis
- genetic algorithm