Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations.
Jonathan A. SherrattPublished in: Adv. Comput. Math. (2013)
Keyphrases
- parameter space
- partial differential equations
- numerical algorithms
- numerical methods
- finite difference
- boundary value problem
- finite difference method
- image denoising
- anisotropic diffusion
- image processing
- level set
- numerical solution
- high dimensional
- nonlinear partial differential equations
- parameter values
- diffusion equation
- inverse problems
- search space
- curve evolution
- fourth order
- energy functional
- differential equations
- semi implicit
- image enhancement
- multiscale
- problems in image processing
- nonlinear diffusion
- natural images
- numerical scheme
- denoising
- hough space
- riemannian manifolds
- wavelet coefficients
- image compression
- hamilton jacobi
- high order
- object boundaries
- pattern recognition
- exact solution