Bringing physics into the coarse-grid selection: Approximate diffusion distance/effective resistance measures for network analysis and algebraic multigrid for graph Laplacians and systems of elliptic partial differential equations.
Barry LeePublished in: Numer. Linear Algebra Appl. (2024)
Keyphrases
- partial differential equations
- network analysis
- anisotropic diffusion
- diffusion equation
- numerical methods
- image denoising
- level set
- image processing
- numerical solution
- social network analysis
- nonlinear diffusion
- multiresolution
- multiscale
- image enhancement
- boundary value problem
- diffusion process
- numerical algorithms
- heat equation
- text mining
- network structure
- finite difference
- active learning
- artificial intelligence
- conservation laws
- inverse problems
- data mining
- diffusion tensor
- differential equations
- link prediction
- high order
- higher order
- energy functional
- community detection
- numerical scheme
- image analysis