Klas Modin
Mathematician focusing on geometric and numerical aspects of differential equations.
Showing 52 publications
An efficient geometric method for incompressible hydrodynamics on the sphere
The Toda Flow as a Porous Medium Equation
Incompressible Euler equations with stochastic forcing: A geometric approach
Shape analysis via gradient flows on diffeomorphism groups
Canonical scale separation in two-dimensional incompressible hydrodynamics
Casimir preserving spectrum of two-dimensional turbulence
Geometric hydrodynamics and infinite-dimensional newton’s equations
Integrability of Point-Vortex Dynamics via Symplectic Reduction: A Survey
A Casimir preserving scheme for long-Time simulation of spherical ideal hydrodynamics
What makes nonholonomic integrators work?
Semi-invariant Riemannian metrics in hydrodynamics
Lie–Poisson Methods for Isospectral Flows
Currents and Finite Elements as Tools for Shape Space
Diffeomorphic density registration
General method for atomistic spin-lattice dynamics with first-principles accuracy
Geometry of the Madelung Transform
A multiscale theory for image registration and nonlinear inverse problems
A Numerical Algorithm for C-2-Splines on Symmetric Spaces
Geometric hydrodynamics via Madelung transform
Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry
Newton's Equation on Diffeomorphisms and Densities
On geodesic completeness for Riemannian metrics on smooth probability densities
Moving Mesh and Image Registration in FEniCS
A minimal-variable symplectic integrator on spheres
Diffeomorphic random sampling using optimal information transport
Geometry of Discrete-Time Spin Systems
B-series methods are exactly the affine equivariant methods
Discrete Variational Derivative Methods for the EPDiff Equation
Symmetry reduction for central force problems
Stability Limitations in Simulation of Dynamical Systems with Multiple Time-Scales
Proceedings Of Math On The Rocks Shape Analysis Workshop In Grundsund
Collective Lie-Poisson integrators on R3
Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration
Symmetry reduction for central force problems
Diffeomorphic density matching by optimal information transport
Symplectic integrators for spin systems
On conformal variational problems and free boundary continua
Integration of Hamiltonian systems with a structure preserving algorithm
Geometric Generalisations of Shake and Rattle
Collective symplectic integrators
Integrability of Nonholonomically Coupled Oscillators
Symplectic integrators for index one constraints
Geodesic Warps by Conformal Mappings
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Showing 6 research projects
Long-time 2D hydrodynamics via quantization
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