Construction of polynomial particular solutions of linear constant-coefficient partial differential equations.
Thomas G. AndersonMarc BonnetLuiz M. FariaCarlos Pérez-ArancibiaPublished in: Comput. Math. Appl. (2024)
Keyphrases
- partial differential equations
- boundary value problem
- numerical algorithms
- anisotropic diffusion
- level set
- numerical solution
- image denoising
- image processing
- finite difference
- nonlinear partial differential equations
- image enhancement
- energy functional
- difference equations
- multiscale
- differential equations
- nonlinear filters
- polynomial equations
- fourth order
- numerical scheme
- finite difference method
- diffusion equation
- mathematical morphology
- closed form solutions
- boundary conditions
- integral equation
- conservation laws
- high order
- higher order
- denoising
- multiresolution
- curve evolution
- ambrosio tortorelli
- lattice boltzmann
- optimal solution