A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and Its Application to the Nonlinear Schrödinger Equation.
Ronald M. CaplanRicardo Carretero-GonzálezPublished in: SIAM J. Sci. Comput. (2014)
Keyphrases
- boundary conditions
- partial differential equations
- hamilton jacobi
- boundary value problem
- heat equation
- finite difference
- diffusion equation
- wave equation
- eikonal equation
- reaction diffusion
- gaussian kernel
- numerical solution
- scale spaces
- poisson equation
- difference equations
- anisotropic diffusion
- image processing
- image denoising
- shape from shading
- level set
- distance transform
- finite element model
- differential equations
- image enhancement
- sufficient conditions
- numerical methods
- nonlinear diffusion
- medial axis
- energy functional
- high order
- nonlinear partial differential equations
- finite element method
- level set method
- variational inequalities
- curve evolution
- finite element
- multiscale
- numerical algorithms
- fourth order