Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations.
Carlo MarcatiChristoph SchwabPublished in: SIAM J. Numer. Anal. (2023)
Keyphrases
- partial differential equations
- image denoising
- anisotropic diffusion
- image processing
- boundary value problem
- numerical solution
- level set
- differential operators
- multiscale
- image enhancement
- numerical methods
- mathematical morphology
- fourth order
- morphological operators
- problems in image processing
- differential equations
- convergence rate
- finite difference
- numerical scheme
- ambrosio tortorelli
- curve evolution
- numerical algorithms
- finite difference method
- nonlinear partial differential equations
- evolution equation
- energy functional
- nonlinear diffusion
- diffusion equation
- conservation laws
- denoising
- feature selection
- lattice boltzmann
- computer vision