Fully Computable Error Estimation of a Nonlinear, Positivity-Preserving Discretization of the Convection-Diffusion-Reaction Equation.
Alejandro AllendesGabriel R. BarrenecheaRichard RankinPublished in: SIAM J. Sci. Comput. (2017)
Keyphrases
- error estimation
- diffusion equation
- diffusion processes
- reaction diffusion
- scale spaces
- diffusion process
- anisotropic diffusion
- heat equation
- nonlinear diffusion
- perona malik
- finite difference
- numerical integration
- scale space
- partial differential equations
- boundary conditions
- model selection
- shock filter
- error estimates
- nonlinear equations
- noise removal
- information diffusion
- diffusion coefficient
- boundary value problem
- numerical solution
- coherence enhancing diffusion
- filtering method
- numerical methods
- generalization error
- differential equations
- multiscale
- support vector machine
- ordinary differential equations
- image enhancement
- edge detection
- hamilton jacobi
- wave equation
- machine learning
- training data
- reinforcement learning
- feature vectors
- active learning
- image denoising
- queue length
- diffusion model