A positivity- and monotonicity-preserving nonlinear operator splitting approach for approximating solutions to quenching-combustion semilinear partial differential equations.
Joshua Lee PadgettEduardo ServinPublished in: CoRR (2021)
Keyphrases
- partial differential equations
- operator splitting
- boundary value problem
- nonlinear partial differential equations
- diffusion equation
- scale spaces
- numerical solution
- finite difference
- numerical algorithms
- level set
- image denoising
- anisotropic diffusion
- nonlinear diffusion
- image enhancement
- image processing
- differential equations
- high order
- multiscale
- numerical methods
- reaction diffusion
- curve evolution
- numerical scheme
- energy functional
- conservation laws
- heat equation
- boundary conditions
- pairwise