Approximation Error Analysis of Some Deep Backward Schemes for Nonlinear PDEs.
Maximilien GermainHuyên PhamXavier WarinPublished in: SIAM J. Sci. Comput. (2022)
Keyphrases
- error analysis
- partial differential equations
- solving partial differential equations
- numerical scheme
- difference equations
- diffusion equation
- finite difference
- approximation schemes
- error estimates
- least squares
- nonlinear diffusion
- numerical integration
- anisotropic diffusion
- curve evolution
- numerical solution
- level set
- image processing
- numerical algorithms
- bi directional
- image denoising
- error correction
- nonlinear diffusion filtering
- operator splitting
- linear approximation
- closed form
- cross ratio
- denoising
- fourth order
- taylor series expansion
- page segmentation
- image enhancement
- disparity estimation
- taylor series
- stochastic differential equations
- level set method
- differential equations
- multiscale