Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format.
Sergey DolgovBoris N. KhoromskijAlexander LitvinenkoHermann G. MatthiesPublished in: SIAM/ASA J. Uncertain. Quantification (2015)
Keyphrases
- partial differential equations
- numerical algorithms
- boundary value problem
- numerical solution
- numerical methods
- ambrosio tortorelli
- numerical scheme
- level set
- high order
- anisotropic diffusion
- image denoising
- integral equation
- image enhancement
- eikonal equation
- differential equations
- higher order
- fourth order
- scalar valued
- image processing
- hamilton jacobi
- multiscale
- finite difference
- problems in image processing
- exact solution
- mumford shah functional
- diffusion equation
- diffusion tensor
- energy functional
- mathematical morphology
- linear combination
- face recognition
- stochastic systems
- multiresolution
- conservation laws
- image analysis
- image segmentation