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Klas Modin
Professor bitr
Avdelningen för tillämpad matematik och statistikOm Klas Modin
Klas Modin har ett brett forskningsintresse, som sträcker sig från oändligdimensionell differentialgeometri, geometrisk hydrodynamik, samt formanalys, till beräkningsmatematik, djupinlärning, samt medicinsk bildanalys. För sin forskning tilldelades han under 2013 Ingvar Carlsson Award från SSF, under 2015 ett Marie Sklodovska-Curie Individual Fellowship från EUs forskningsprogram Horizon 2020, under 2017 ett Startprojekt från Vetenskapsrådet, och under 2019 blev han utnämnd till Wallenberg Academy Fellow (WAF) av Kungliga Vetenskapsakademien.
Se även: http://klasmodin.wordpress.com
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ON THE GEOMETRY AND DYNAMICAL FORMULATION OF THE SINKHORN ALGORITHM FOR OPTIMAL
TRANSPORT
Klas Modin
JOURNAL OF COMPUTATIONAL DYNAMICS - 2024 -
Convergence of the vertical gradient flow for the Gaussian Monge
problem
Erik Jansson, Klas Modin
JOURNAL OF COMPUTATIONAL DYNAMICS - 2024 -
Simple Unbalanced Optimal
Transport
Boris Khesin, Klas Modin, Luke Volk
INTERNATIONAL MATHEMATICS RESEARCH NOTICES - 2024 -
Eulerian and Lagrangian Stability in Zeitlin's Model of
Hydrodynamics
Klas Modin, Manolis Perrot
COMMUNICATIONS IN MATHEMATICAL PHYSICS - 2024 -
The Toda Flow as a Porous Medium
Equation
B. Khesin, Klas Modin
Communications in Mathematical Physics - 2023 -
An efficient geometric method for incompressible hydrodynamics on the
sphere
P. Cifani, M. Viviani, Klas Modin
Journal of Computational Physics - 2023 -
Incompressible Euler equations with stochastic forcing: A geometric
approach
M. Maurelli, Klas Modin, A. Schmeding
Stochastic Processes and Their Applications - 2023 -
Casimir preserving spectrum of two-dimensional
turbulence
P. Cifani, M. Viviani, E. Luesink, Klas Modin, B. J. Geurts
Physical Review Fluids - 2022 -
Canonical scale separation in two-dimensional incompressible
hydrodynamics
Klas Modin, M. Viviani
Journal of Fluid Mechanics - 2022 -
Geometric hydrodynamics and infinite-dimensional newton’s
equations
B. Khesin, G. Misiolek, Klas Modin
Bulletin of the American Mathematical Society - 2021 -
Integrability of Point-Vortex Dynamics via Symplectic Reduction: A
Survey
Klas Modin, Milo Viviani
Arnold Mathematical Journal - 2021 -
Diffeomorphic density
registration
M. Bauer, S. Joshi, Klas Modin
Riemannian Geometric Statistics in Medical Image Analysis. Xavier Pennec, Stefan Sommer and Tom Fletcher (red.) - 2020 -
A Casimir preserving scheme for long-Time simulation of spherical ideal
hydrodynamics
Klas Modin, Milo Viviani
Journal of Fluid Mechanics - 2020 -
What makes nonholonomic integrators
work?
Klas Modin, O. Verdier
Numerische Mathematik - 2020 -
Semi-invariant Riemannian metrics in
hydrodynamics
M. Bauer, Klas Modin
Calculus of Variations and Partial Differential Equations - 2020 -
Lie-Poisson Methods for Isospectral
Flows
Klas Modin, Milo Viviani
Foundations of Computational Mathematics - 2020 -
General method for atomistic spin-lattice dynamics with first-principles
accuracy
Johan Hellsvik, Danny Thonig, Klas Modin, Diana Iuşan, Anders Bergman, Olle Eriksson, Lars Bergqvist, Anna Delin
Physical Review B - 2019 -
Currents and Finite Elements as Tools for Shape
Space
J. Benn, S. Marsland, R. I. McLachlan, Klas Modin, O. Verdier
Journal of Mathematical Imaging and Vision - 2019 -
Geometry of the Madelung
Transform
B. Khesin, G. Misiolek, Klas Modin
Archive for Rational Mechanics and Analysis - 2019 -
A Numerical Algorithm for C-2-Splines on Symmetric
Spaces
Geir Bogfjellmo, Klas Modin, O. Verdier
SIAM Journal on Numerical Analysis - 2018 -
Geometric hydrodynamics via Madelung
transform
B. Khesin, G. Misiolek, Klas Modin
Proceedings of the National Academy of Sciences of the United States of America - 2018 -
On geodesic completeness for Riemannian metrics on smooth probability
densities
M. Bauer, S. Joshi, Klas Modin
Calculus of Variations and Partial Differential Equations - 2017 -
A minimal-variable symplectic integrator on
spheres
Robert McLachlan, Klas Modin, Olivier Verdier
Mathematics of Computation - 2017 -
Geometry of Matrix Decompositions Seen Through Optimal Transport and Information
Geometry
Klas Modin
Journal of Geometric Mechanics - 2017 -
Newton's Equation on Diffeomorphisms and
Densities
B. Khesin, Gerard Misiolek, Klas Modin
Lecture Notes in Computer Science, vol. 10589, s. 873-873 - 2017 -
Diffeomorphic random sampling using optimal information
transport
Martin Bauer, Sarang Joshi, Klas Modin
International Conference on Geometric Science of Information. GSI 2017: Geometric Science of Information. Lecture Notes in Computer Science. - 2017 -
Moving Mesh and Image Registration in
FEniCS
Jenny Larsson, Anders Logg, Klas Modin, Alexander Sehlström
Proceedings of 30th Nordic Seminar on Computational Mechanics – NSCM30. 25-27 October, 2017 Kgs. Lyngby, Denmark - 2017 -
Geometry of Discrete-Time Spin
Systems
R. I. McLachlan, Klas Modin, O. Verdier
Journal of Nonlinear Science - 2016 -
Symmetry reduction for central force
problems
R. I. McLachlan, Klas Modin, O. Verdier
European Journal of Physics - 2016 -
Stability Limitations in Simulation of Dynamical Systems with Multiple
Time-Scales
Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin
Conference Proceedings of the Society for Experimental Mechanics Series - 2016 -
B-series methods are exactly the affine equivariant
methods
R.I. McLachlan, Klas Modin, H. Munthe-Kaas, O. Verdier
Numerische Mathematik - 2016 -
Proceedings Of Math On The Rocks Shape Analysis Workshop In
Grundsund
Klas Modin, Stefan Sommer
2015 -
Diffeomorphic density matching by optimal information
transport
M. Bauer, S. Joshi, Klas Modin
SIAM Journal on Imaging Sciences - 2015 -
Symmetry reduction for central force
problems
Robert McLachlan, Klas Modin, Olivier Verdier
2015 -
What are Butcher series,
really?
Robert McLachlan, Klas Modin, Hans Munthe-Kaas, Olivier Verdier
2015 -
A minimal-variable symplectic integrator on
spheres
Robert McLachlan, Klas Modin, Olivier Verdier
2015 -
Weighted Diffeomorphic Density Matching with Applications to Thoracic Image
Registration
Caleb Rottman, Martin Bauer, Klas Modin, Sarang Joshi
Proceedings of the 5th MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA), Munich, Germany, October 9, 2015 - 2015 -
Collective Lie-Poisson integrators on
R<sup>3</sup>
Robert McLachlan, Klas Modin, Olivier Verdier
IMA Journal of Numerical Analysis - 2015 -
Geometry of discrete-time spin
systems
Robert I. McLachlan, Klas Modin, Olivier Verdier
2015 -
Diffeomorphic density matching by optimal information
transport
Martin Bauer, Sarang Joshi, Klas Modin
2015 -
Generalized Hunter–Saxton equations, optimal information transport, and factorization of
diffeomorphisms
Klas Modin
Journal of Geometric Analysis - 2015 -
Integrability of Nonholonomically Coupled
Oscillators
Klas Modin, Olivier Verdier
Discrete and Continuous Dynamical Systems. Series A - 2014 -
An Efficient Exponential Integrator for Large Nonlinear Stiff Systems Part 2: Symplecticity and Global Error
Analysis
Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin
Proceedings of the 32nd IMAC, A Conference and Exposition on Structural Dynamics, 2014. Nonlinear Dynamics, Volume 2 - 2014 -
An Efficient Exponential Integrator for Large Nonlinear Stiff Systems Part 1: Theoretical
Investigation
Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin
Proceedings of the 32nd IMAC, A Conference and Exposition on Structural Dynamics, 2014. Nonlinear Dynamics, Volume 2 - 2014 -
Integration of Hamiltonian systems with a structure preserving
algorithm
Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin
26th International Conference on Noise and Vibration Engineering, ISMA 2014, Including the 5th International Conference on Uncertainty in Structural Dynamics, USD 2014; Leuven; Belgium; 15 September 2014 through 17 September 2014 - 2014 -
On conformal variational problems and free boundary
continua
Stephen Marsland, Robert I McLachlan, Klas Modin, Matthew Perlmutter
Journal of Physics A: Mathematical and Theoretical - 2014 -
Symplectic integrators for spin
systems
R. I. McLachlan, Klas Modin, O. Verdier
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics - 2014 -
Collective symplectic
integrators
Robert McLachlan, Klas Modin, Olivier Verdier
Nonlinearity - 2014 -
Discrete time Hamiltonian spin
systems
Robert McLachlan, Klas Modin, Olivier Verdier
2014 -
Geometric Generalisations of Shake and
Rattle
Robert I McLachlan, Klas Modin, Olivier Verdier, Matt Wilkins
Foundations of Computational Mathematics - 2014 -
Symplectic integrators for spin
systems
Robert McLachlan, Klas Modin
2014 -
Collective Lie-Poisson integrators on
R3
Klas Modin
2013 -
Integrability of Nonholonomically Coupled
Oscillators
Klas Modin
2013 -
Generalised Hunter–Saxton equations and optimal information
transport
Klas Modin
2012 -
Symplectic integrators for index one
constraints
Klas Modin
2012 -
Geometric Generalisations of SHAKE and
RATTLE
Klas Modin
2012