Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations.
Carlo MarcatiChristoph SchwabPublished in: CoRR (2021)
Keyphrases
- partial differential equations
- anisotropic diffusion
- level set
- image denoising
- image processing
- numerical solution
- numerical methods
- differential operators
- image enhancement
- energy functional
- boundary value problem
- multiscale
- finite difference
- differential equations
- fourth order
- curve evolution
- diffusion equation
- numerical scheme
- high order
- problems in image processing
- finite difference method
- numerical algorithms
- nonlinear partial differential equations
- morphological operators
- convergence rate
- mathematical morphology
- level set method
- higher order
- conservation laws
- denoising
- pairwise
- lattice boltzmann
- machine learning