79 citations · 638 across the 61 of their papers we have counts for
5 papers · 1 filter
Spatio-temporal Lie-Poisson discretization for incompressible magnetohydrodynamics on the sphere
Klas Modin, Michael Roop
We give a structure preserving spatio-temporal discretization for incompressible magnetohydrodynamics (MHD) on the sphere. Discretization in space is based on the theory of geometr…
On the geometry and dynamical formulation of the Sinkhorn algorithm for optimal transport
Klas Modin
The Sinkhorn algorithm is a numerical method for the solution of optimal transport problems. Here, I give a brief survey of this algorithm, with a strong emphasis on its geometric…
Simple unbalanced optimal transport
Boris Khesin, Klas Modin, Luke Volk
We introduce and study a simple model capturing the main features of unbalanced optimal transport. It is based on equipping the conical extension of the group of all diffeomorphism…
Convergence of the vertical Gradient flow for the Gaussian Monge problem
Erik Jansson, Klas Modin
We investigate a matrix dynamical system related to optimal mass transport in the linear category, namely, the problem of finding an optimal invertible matrix by which two covarian…
Eulerian and Lagrangian stability in Zeitlin's model of hydrodynamics
Klas Modin, Manolis Perrot
The two-dimensional (2-D) Euler equations of a perfect fluid possess a beautiful geometric description: they are reduced geodesic equations on the infinite-dimensional Lie group of…