Sparse Tensor Galerkin Discretization of Parametric and Random Parabolic PDEs - Analytic Regularity and Generalized Polynomial Chaos Approximation.
Viet Ha HoangChristoph SchwabPublished in: SIAM J. Math. Anal. (2013)
Keyphrases
- partial differential equations
- solving partial differential equations
- high order
- tensor factorization
- smooth functions
- tensor product
- numerical scheme
- tensor decomposition
- sparse approximation
- numerical solution
- image denoising
- randomized approximation
- difference equations
- level set
- central limit theorem
- scalar valued
- singular vectors
- higher order
- anisotropic diffusion
- energy functional
- lagrange interpolation
- differential equations
- neural network
- image processing
- multiscale
- high dimensional
- convex functions
- sparse coding
- sparse representation
- singular value decomposition
- diffusion equation
- diffusion tensor
- curve evolution
- low degree
- continuous valued attributes
- particle swarm optimization
- eigenvalue decomposition
- natural images
- continuous variables
- closed form