Analytical Jacobian-vector products for the matrix-free time integration of partial differential equations.
Paul TranquilliRoss GlandonArash SarsharAdrian SanduPublished in: J. Comput. Appl. Math. (2017)
Keyphrases
- partial differential equations
- level set
- singular value decomposition
- image denoising
- numerical solution
- image processing
- anisotropic diffusion
- sparse matrix
- image enhancement
- pseudo inverse
- jacobian matrix
- numerical methods
- multiscale
- numerical algorithms
- finite difference
- curve evolution
- energy functional
- denoising
- fourth order
- high order
- conservation laws
- differential equations
- numerical scheme
- vector space
- diffusion equation
- structure tensor
- weight matrix
- matrix valued
- lattice boltzmann
- feature extraction
- machine learning
- mathematical morphology
- active contours
- feature vectors
- higher order
- nonlinear diffusion
- low rank
- numerical simulations
- pattern recognition
- laplacian matrix
- object recognition
- finite difference method