A least-squares approximation of partial differential equations with high-dimensional random inputs.
Alireza DoostanGianluca IaccarinoPublished in: J. Comput. Phys. (2009)
Keyphrases
- partial differential equations
- least squares
- high dimensional
- numerical scheme
- anisotropic diffusion
- level set
- difference equations
- numerical solution
- image denoising
- image processing
- image enhancement
- mumford shah model
- low dimensional
- multiscale
- differential equations
- numerical methods
- energy functional
- robust estimation
- dimensionality reduction
- curve evolution
- diffusion equation
- fourth order
- mathematical morphology
- problems in image processing
- optical flow
- finite difference method
- numerical algorithms
- high dimensional data
- denoising
- approximation methods
- finite difference
- piecewise constant
- noise removal
- feature selection
- nonlinear partial differential equations
- conservation laws
- data points
- high order
- natural images