Physics-informed attention-based neural network for solving non-linear partial differential equations.
Ruben Rodriguez TorradoPablo RuizLuis Cueto-FelguerosoMichael Cerny GreenTyler FriesenSebastien MatringeJulian TogeliusPublished in: CoRR (2021)
Keyphrases
- partial differential equations
- neural network
- image denoising
- anisotropic diffusion
- numerical solution
- level set
- image processing
- image enhancement
- multiscale
- problems in image processing
- finite difference
- numerical methods
- numerical algorithms
- energy functional
- fourth order
- mathematical morphology
- numerical scheme
- denoising
- conservation laws
- differential equations
- diffusion equation
- high order
- active contours
- natural images
- object recognition
- finite difference method
- boundary element