DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations.
Kejun TangXiaoliang WanChao YangPublished in: J. Comput. Phys. (2023)
Keyphrases
- partial differential equations
- high dimensional
- anisotropic diffusion
- numerical solution
- image denoising
- image processing
- level set
- fourth order
- image enhancement
- problems in image processing
- differential equations
- multiscale
- energy functional
- numerical methods
- curve evolution
- boundary value problem
- diffusion equation
- low dimensional
- mathematical morphology
- finite difference
- nonlinear diffusion
- numerical algorithms
- numerical scheme
- conservation laws
- computer vision
- pattern recognition
- multiresolution
- high dimensional data
- image quality
- boundary element
- nonlinear partial differential equations