Numerical Approximation of Partial Differential Equations by a Variable Projection Method with Artificial Neural Networks.
Suchuan DongJielin YangPublished in: CoRR (2022)
Keyphrases
- partial differential equations
- solving partial differential equations
- projection method
- artificial neural networks
- anisotropic diffusion
- numerical methods
- image denoising
- numerical solution
- level set
- numerical algorithms
- image enhancement
- finite difference
- image processing
- harmonic functions
- multiscale
- finite difference method
- energy functional
- high order
- curve evolution
- neural network
- numerical scheme
- differential equations
- problems in image processing
- fourth order
- mumford shah model
- mathematical morphology
- boundary value problem
- machine learning
- numerical analysis
- diffusion equation
- genetic algorithm
- difference equations
- natural images
- denoising
- pattern recognition
- nonlinear partial differential equations