Point collocation with mollified piecewise polynomial approximants for high-order partial differential equations.
Dewangga AlfarisyLavi ZuhalMichael OrtizFehmi CirakEky FebriantoPublished in: CoRR (2024)
Keyphrases
- high order
- partial differential equations
- piecewise polynomial
- fourth order
- anisotropic diffusion
- higher order
- boundary value problem
- numerical solution
- low order
- pairwise
- diffusion equation
- differential equations
- numerical scheme
- numerical algorithms
- energy functional
- finite difference
- markov random field
- nonlinear partial differential equations
- finite difference method
- bayesian logistic regression
- nonlinear diffusion
- lower order
- numerical methods
- image denoising
- multiresolution
- b spline
- multiscale
- computer vision