Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities.
Martin HutzenthalerArnulf JentzenThomas KrusePublished in: Found. Comput. Math. (2022)
Keyphrases
- partial differential equations
- solving partial differential equations
- mumford shah model
- finite difference
- image denoising
- numerical methods
- numerical algorithms
- numerical solution
- anisotropic diffusion
- level set
- image processing
- multiscale
- finite difference method
- image enhancement
- numerical scheme
- energy functional
- differential equations
- mathematical morphology
- fourth order
- problems in image processing
- curve evolution
- euler lagrange equations
- high order
- difference equations
- edge detection
- structure tensor
- boundary value problem