Composing Partial Differential Equations with Physics-Aware Neural Networks.
Matthias KarlbauerTimothy PraditiaSebastian OtteSergey OladyshkinWolfgang NowakMartin V. ButzPublished in: CoRR (2021)
Keyphrases
- partial differential equations
- neural network
- anisotropic diffusion
- numerical solution
- level set
- image denoising
- image processing
- image enhancement
- multiscale
- pattern recognition
- numerical algorithms
- energy functional
- mathematical morphology
- fourth order
- differential equations
- curve evolution
- diffusion equation
- inverse problems
- high order
- boundary value problem
- conservation laws
- problems in image processing
- finite difference method
- finite difference
- numerical scheme
- nonlinear partial differential equations
- pairwise
- difference equations
- lattice boltzmann