Approximation of high-dimensional parametric PDEs.
Albert CohenRonald A. DeVorePublished in: Acta Numer. (2015)
Keyphrases
- high dimensional
- partial differential equations
- low dimensional
- approximation error
- similarity search
- numerical solution
- dimensionality reduction
- high dimensionality
- feature space
- solving partial differential equations
- image processing
- closed form
- relative error
- numerical scheme
- difference equations
- approximation methods
- error bounds
- sparse data
- input space
- high dimensional data
- nearest neighbor
- multiscale
- anisotropic diffusion
- metric space
- image denoising
- level set
- knn
- mumford shah model