Control of Partial Differential Equations via Physics-Informed Neural Networks.
Carlos J. García-CerveraMathieu KesslerFrancisco PeriagoPublished in: J. Optim. Theory Appl. (2023)
Keyphrases
- partial differential equations
- neural network
- numerical solution
- anisotropic diffusion
- image processing
- level set
- image denoising
- image enhancement
- finite difference
- differential equations
- numerical algorithms
- energy functional
- numerical methods
- pattern recognition
- multiscale
- high order
- control strategy
- fourth order
- numerical scheme
- nonlinear diffusion
- finite difference method
- diffusion equation
- optimal control
- natural images
- edge detection
- machine learning