Promising directions of machine learning for partial differential equations.
Steven L. BruntonJ. Nathan KutzPublished in: Nat. Comput. Sci. (2024)
Keyphrases
- partial differential equations
- promising directions
- machine learning
- numerical solution
- image denoising
- anisotropic diffusion
- level set
- image processing
- energy functional
- numerical algorithms
- mathematical morphology
- fourth order
- multiscale
- image enhancement
- differential equations
- finite difference
- finite difference method
- curve evolution
- problems in image processing
- computer vision
- natural images
- pattern recognition
- numerical scheme
- numerical methods
- high order
- diffusion equation
- feature selection
- ambrosio tortorelli
- wavelet coefficients
- input image
- boundary value problem
- feature extraction
- image segmentation
- boundary element
- lattice boltzmann
- nonlinear partial differential equations