Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation.
Weizhu BaoQinglin TangZhiguo XuPublished in: J. Comput. Phys. (2013)
Keyphrases
- numerical methods
- hamilton jacobi
- wave equation
- partial differential equations
- finite difference
- heat equation
- level set method
- numerical solution
- finite difference method
- differential equations
- eikonal equation
- semi implicit
- difference equations
- level set
- anisotropic diffusion
- distance transform
- boundary value problem
- image denoising
- diffusion equation
- finite element method
- nonlinear diffusion
- active contours
- scale space
- ordinary differential equations
- image processing
- numerical analysis
- steady state
- natural images
- pattern recognition
- image enhancement
- gaussian kernel
- scale spaces
- medial axis
- shape analysis
- dynamic programming
- runge kutta
- multiscale
- high order