303 citations · 309 across the 5 of their papers we have counts for
5 papers
An extended Krylov subspace method for decoding edge-based compressed images by homogeneous diffusion
Volker Grimm, Kevin Liang
The heat equation is often used in order to inpaint dropped data in inpainting-based lossy compression schemes. We propose an alternative way to numerically solve the heat equation…
A conjugate-gradient-type rational Krylov subspace method for ill-posed problems
Volker Grimm
Conjugated gradients on the normal equation (CGNE) is a popular method to regularise linear inverse problems. The idea of the method can be summarised as minimising the residuum ov…
Automatic smoothness detection of the resolvent Krylov subspace method for the approximation of -semigroups
Volker Grimm, Tanja Göckler
The resolvent Krylov subspace method builds approximations to operator functions times a vector . For the semigroup and related operator functions, this method is proved…
The use of discrete gradient methods for total variation type regularization problems in image processing
V Grimm, R I McLachlan, D McLaren +2
Discrete gradient methods are well-known methods of Geometric Numerical Integration, which preserve the dissipation of gradient systems. The preservation of the dissipation of a sy…
Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method
E. Celledoni, V. Grimm, R. I. McLachlan +4
We give a systematic method for discretizing Hamiltonian partial differential equations (PDEs) with constant symplectic structure, while preserving their energy exactly. The same m…