Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations.
Wolfgang DahmenRonald A. DeVoreLars GrasedyckEndre SüliPublished in: Found. Comput. Math. (2016)
Keyphrases
- partial differential equations
- high dimensional
- boundary value problem
- high order
- numerical algorithms
- anisotropic diffusion
- dimensionality reduction
- numerical solution
- image processing
- differential equations
- image denoising
- level set
- nonlinear partial differential equations
- image enhancement
- scalar valued
- low dimensional
- fourth order
- curve evolution
- numerical methods
- finite difference
- energy functional
- diffusion equation
- diffusion tensor
- mathematical morphology
- multiscale
- finite difference method
- problems in image processing
- data points
- denoising
- boundary conditions
- conservation laws
- parameter space
- high dimensional data
- nonlinear diffusion
- feature space
- numerical scheme
- tensor factorization
- object recognition
- natural images
- numerical simulations
- lattice boltzmann