Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs.
Boris N. KhoromskijChristoph SchwabPublished in: SIAM J. Sci. Comput. (2011)
Keyphrases
- partial differential equations
- solving partial differential equations
- high order
- approximation schemes
- numerical scheme
- anisotropic diffusion
- numerical methods
- level set
- scalar valued
- difference equations
- image denoising
- tensor product
- image enhancement
- image processing
- discrete random variables
- numerical solution
- mumford shah model
- diffusion tensor
- fourth order
- stage stochastic programs
- energy functional
- higher order
- boundary value problem
- differential equations
- structure tensor
- multiscale
- curve evolution
- approximation error
- monte carlo sampling
- mathematical morphology
- approximation algorithms
- closed form
- eikonal equation
- finite difference
- nonlinear diffusion
- diffusion equation
- error bounds
- monte carlo
- structured data
- dimensionality reduction