Klas Modin
Mathematician focusing on geometric and numerical aspects of differential equations.
Showing 59 publications
Zeitlin's model for axisymmetric 3D Euler equations
Spatio-temporal Lie-Poisson discretization for incompressible magnetohydrodynamics on the sphere
ON THE GEOMETRY AND DYNAMICAL FORMULATION OF THE SINKHORN ALGORITHM FOR OPTIMAL TRANSPORT
Eulerian and Lagrangian Stability in Zeitlin’s Model of Hydrodynamics
Simple Unbalanced Optimal Transport
CONVERGENCE OF THE VERTICAL GRADIENT FLOW FOR THE GAUSSIAN MONGE PROBLEM
Marker unit for use in ar aided surgery
Incompressible Euler equations with stochastic forcing: A geometric approach
The Toda Flow as a Porous Medium Equation
Shape analysis via gradient flows on diffeomorphism groups
An efficient geometric method for incompressible hydrodynamics on the sphere
Canonical scale separation in two-dimensional incompressible hydrodynamics
Casimir preserving spectrum of two-dimensional turbulence
Integrability of Point-Vortex Dynamics via Symplectic Reduction: A Survey
Geometric hydrodynamics and infinite-dimensional newton’s equations
A Casimir preserving scheme for long-Time simulation of spherical ideal hydrodynamics
Semi-invariant Riemannian metrics in hydrodynamics
Lie–Poisson Methods for Isospectral Flows
What makes nonholonomic integrators work?
General method for atomistic spin-lattice dynamics with first-principles accuracy
A multiscale theory for image registration and nonlinear inverse problems
Diffeomorphic density registration
Geometry of the Madelung Transform
Currents and Finite Elements as Tools for Shape Space
A Numerical Algorithm for C-2-Splines on Symmetric Spaces
Geometric hydrodynamics via Madelung transform
On geodesic completeness for Riemannian metrics on smooth probability densities
Diffeomorphic random sampling using optimal information transport
Moving Mesh and Image Registration in FEniCS
Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry
Newton's Equation on Diffeomorphisms and Densities
A minimal-variable symplectic integrator on spheres
Stability Limitations in Simulation of Dynamical Systems with Multiple Time-Scales
B-series methods are exactly the affine equivariant methods
Symmetry reduction for central force problems
Discrete Variational Derivative Methods for the EPDiff Equation
Geometry of Discrete-Time Spin Systems
Symmetry reduction for central force problems
Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration
Collective Lie-Poisson integrators on R3
Proceedings Of Math On The Rocks Shape Analysis Workshop In Grundsund
Diffeomorphic density matching by optimal information transport
Geometric Generalisations of Shake and Rattle
Collective symplectic integrators
On conformal variational problems and free boundary continua
Integrability of Nonholonomically Coupled Oscillators
Integration of Hamiltonian systems with a structure preserving algorithm
Symplectic integrators for spin systems
Symplectic integrators for index one constraints
Geodesic Warps by Conformal Mappings
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Showing 5 research projects
Geometric numerical methods for computational anatomy
CHallenges in Preservation of Structure (CHiPS)
Geometry and Computational Anatomy (GEOCA)
Numerical methods for computational anatomy
Generalised Euler equations: theory, numerics, and computational anatomy