Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations.
Christian BeckLukas GononArnulf JentzenPublished in: CoRR (2020)
Keyphrases
- partial differential equations
- solving partial differential equations
- high dimensional
- numerical methods
- image denoising
- anisotropic diffusion
- level set
- image processing
- finite difference
- numerical solution
- image enhancement
- numerical algorithms
- boundary value problem
- energy functional
- finite difference method
- numerical scheme
- multiscale
- curve evolution
- fourth order
- mathematical morphology
- diffusion equation
- differential equations
- data points
- feature space
- low dimensional
- dimensionality reduction
- difference equations
- problems in image processing
- natural images
- nonlinear diffusion
- nonlinear partial differential equations
- conservation laws
- heat equation
- level set method
- parameter space
- high order