Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential Equations.
Markus BachmayrReinhold SchneiderAndré UschmajewPublished in: Found. Comput. Math. (2016)
Keyphrases
- partial differential equations
- high order
- anisotropic diffusion
- high dimensional
- diffusion tensor
- numerical methods
- numerical algorithms
- numerical solution
- boundary value problem
- fourth order
- scalar valued
- image processing
- image denoising
- level set
- dimensionality reduction
- numerical scheme
- finite difference
- higher order
- tensor field
- eikonal equation
- hamilton jacobi
- differential equations
- tensor space
- feature space
- structure tensor
- diffusion equation
- curve evolution
- energy functional
- nonlinear diffusion
- variational inequalities
- dt mri
- order tensor
- parameter space
- pairwise