Towards fast weak adversarial training to solve high dimensional parabolic partial differential equations using XNODE-WAN.
Paul Valsecchi OlivaYue WuCuiyu HeHao NiPublished in: J. Comput. Phys. (2022)
Keyphrases
- partial differential equations
- high dimensional
- anisotropic diffusion
- numerical solution
- image denoising
- level set
- image processing
- multiscale
- image enhancement
- differential equations
- numerical methods
- stochastic control
- numerical algorithms
- diffusion equation
- dimensionality reduction
- finite difference method
- feature extraction
- curve evolution
- ambrosio tortorelli
- lattice boltzmann
- numerical scheme
- boundary value problem
- fourth order
- energy functional
- denoising
- exact solution
- pairwise
- neural network