79 citations · 638 across the 61 of their papers we have counts for
7 papers · 1 filter
A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics
Klas Modin, Milo Viviani
The incompressible 2D Euler equations on a sphere constitute a fundamental model in hydrodynamics. The long-time behaviour of solutions is largely unknown; statistical mechanics pr…
Semi-invariant Riemannian metrics in hydrodynamics
Martin Bauer, Klas Modin
Many models in mathematical physics are given as non-linear partial differential equation of hydrodynamic type; the incompressible Euler, KdV, and Camassa--Holm equations are well-…
Lie-Poisson methods for isospectral flows
Klas Modin, Milo Viviani
The theory of isospectral flows comprises a large class of continuous dynamical systems, particularly integrable systems and Lie--Poisson systems. Their discretization is a classic…
Diffeomorphic density registration
Martin Bauer, Sarang Joshi, Klas Modin
In this book chapter we study the Riemannian Geometry of the density registration problem: Given two densities (not necessarily probability densities) defined on a smooth finite di…
Geometry of the Madelung transform
Boris Khesin, Gerard Misiolek, Klas Modin
The Madelung transform is known to relate Schrödinger-type equations in quantum mechanics and the Euler equations for barotropic-type fluids. We prove that, more generally, the Mad…
General method for atomistic spin-lattice dynamics with first principles accuracy
Johan Hellsvik, Danny Thonig, Klas Modin +5
We present a computationally efficient general first-principles based method for spin-lattice simulations for solids. Our method is based on a combination of atomistic spin dynamic…
A Multiscale Theory for Image Registration and Nonlinear Inverse Problems
Klas Modin, Adrian Nachman, Luca Rondi
In an influential paper, Tadmor, Nezzar and Vese (Multiscale Model. Simul. (2004)) introduced a hierarchical decomposition of an image as a sum of constituents of different scales.…