Adaptive meshfree solution of linear partial differential equations with PDE-greedy kernel methods.
Tizian WenzelDaniel WinkleGabriele SantinBernard HaasdonkPublished in: CoRR (2022)
Keyphrases
- partial differential equations
- numerical methods
- kernel methods
- integral equation
- anisotropic diffusion
- image denoising
- finite difference
- numerical solution
- numerical algorithms
- level set
- kernel function
- numerical scheme
- support vector
- boundary value problem
- image processing
- energy functional
- eikonal equation
- multiscale
- image enhancement
- differential equations
- kernel matrix
- difference equations
- hamilton jacobi
- finite difference method
- feature space
- curve evolution
- fourth order
- support vector machine
- machine learning
- high order
- diffusion equation
- gaussian kernel
- linear systems
- reproducing kernel hilbert space
- conservation laws
- scale spaces
- computer vision
- feature selection
- multiresolution
- scale space
- pattern recognition
- denoising
- level set method
- finite dimensional
- total variation