A certified wavelet-based physics-informed neural network for the solution of parameterized partial differential equations.
Lewin ErnstKarsten UrbanPublished in: CoRR (2022)
Keyphrases
- partial differential equations
- neural network
- numerical algorithms
- numerical methods
- numerical solution
- anisotropic diffusion
- boundary value problem
- integral equation
- numerical scheme
- image denoising
- image processing
- differential equations
- hamilton jacobi
- problems in image processing
- multiscale
- finite difference
- energy functional
- mathematical morphology
- level set
- nonlinear diffusion
- eikonal equation
- finite difference method
- fourth order
- diffusion equation
- exact solution
- image enhancement
- multiresolution
- diffusion process
- difference equations
- image compression
- higher order