On particular solutions of linear partial differential equations with polynomial right-hand-sides.
Thomas G. AndersonMarc BonnetLuiz M. FariaCarlos Pérez-ArancibiaPublished in: CoRR (2023)
Keyphrases
- partial differential equations
- boundary value problem
- numerical algorithms
- anisotropic diffusion
- image denoising
- numerical solution
- level set
- finite difference
- nonlinear partial differential equations
- image processing
- differential equations
- mathematical morphology
- image enhancement
- energy functional
- diffusion equation
- difference equations
- numerical methods
- curve evolution
- polynomial equations
- fourth order
- machine learning
- integral equation
- multiscale
- optimal solution
- nonlinear filters
- edge detection
- closed form solutions
- nonlinear diffusion
- scale spaces
- linear systems
- problems in image processing
- finite difference method
- numerical simulations