Klas Modin

Professor at Applied Mathematics and Statistics

Klas Modin has a broad research interest, stretching from infinite-dimensional geometry, geometric hydrodynamics, and shape analysis, to computational mathematics, deep learning, and medical imaging. For his work he recieved an "Ingvar Carlsson Award" from SSF in 2013, a "Marie Sklodovska-Curie Individual Fellowship" from the European Commision (Horizon 2020) in 2015, and a "Starting Grant" from the Swedish Research Council in 2017. In 2019 he was selected "Wallenberg Academy Fellow" by the Royal Academy of Sciences.

Source: chalmers.se
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Showing 57 publications

2024

Simple Unbalanced Optimal Transport

Boris Khesin, Klas Modin, Luke Volk
International Mathematics Research Notices. Vol. 2024 (10), p. 8839-8855
Journal article
2024

CONVERGENCE OF THE VERTICAL GRADIENT FLOW FOR THE GAUSSIAN MONGE PROBLEM

Erik Jansson, Klas Modin
Journal of Computational Dynamics. Vol. 11 (1), p. 1-9
Journal article
2024

ON THE GEOMETRY AND DYNAMICAL FORMULATION OF THE SINKHORN ALGORITHM FOR OPTIMAL TRANSPORT

Klas Modin
Journal of Computational Dynamics. Vol. 11 (4), p. 442-452
Journal article
2024

Eulerian and Lagrangian Stability in Zeitlin’s Model of Hydrodynamics

Klas Modin, Manolis Perrot
Communications in Mathematical Physics. Vol. 405 (8)
Journal article
2023

The Toda Flow as a Porous Medium Equation

Boris Khesin, Klas Modin
Communications in Mathematical Physics. Vol. 401 (2), p. 1879-1898
Journal article
2023

Incompressible Euler equations with stochastic forcing: A geometric approach

Mario Maurelli, Klas Modin, Alexander Schmeding
Stochastic Processes and their Applications. Vol. 159, p. 101-148
Journal article
2023

Shape analysis via gradient flows on diffeomorphism groups

Tracey Balehowsky, Carl-Joar Karlsson, Klas Modin
Nonlinearity. Vol. 36 (2), p. 862-877
Journal article
2023

An efficient geometric method for incompressible hydrodynamics on the sphere

Paolo Cifani, Milo Viviani, Klas Modin
Journal of Computational Physics. Vol. 473
Journal article
2023

Marker unit for use in ar aided surgery

Axel Blomé, Carl Bodin, Christian AL-MALEH et al
Patent application
2022

Canonical scale separation in two-dimensional incompressible hydrodynamics

Klas Modin, Milo Viviani
Journal of Fluid Mechanics. Vol. 943
Journal article
2022

Casimir preserving spectrum of two-dimensional turbulence

Paolo Cifani, Milo Viviani, Erwin Luesink et al
Physical Review Fluids. Vol. 7 (8)
Other text in scientific journal
2021

Integrability of Point-Vortex Dynamics via Symplectic Reduction: A Survey

Klas Modin, Milo Viviani
Arnold Mathematical Journal. Vol. 7 (3), p. 357-385
Journal article
2021

Geometric hydrodynamics and infinite-dimensional newton’s equations

Boris Khesin, Gerard Misiołek, Klas Modin
Bulletin of the American Mathematical Society. Vol. 58 (3), p. 377-442
Journal article
2020

What makes nonholonomic integrators work?

Klas Modin, Olivier Verdier
Numerische Mathematik. Vol. 145 (2), p. 405-435
Journal article
2020

Lie–Poisson Methods for Isospectral Flows

Klas Modin, Milo Viviani
Foundations of Computational Mathematics. Vol. 20 (4), p. 889-921
Journal article
2020

Semi-invariant Riemannian metrics in hydrodynamics

M. Bauer, Klas Modin
Calculus of Variations and Partial Differential Equations. Vol. 59 (2)
Journal article
2020

A Casimir preserving scheme for long-Time simulation of spherical ideal hydrodynamics

Klas Modin, Milo Viviani
Journal of Fluid Mechanics. Vol. 884
Journal article
2019

Diffeomorphic density registration

M. Bauer, S. Joshi, Klas Modin
Riemannian Geometric Statistics in Medical Image Analysis, p. 577-603
Book chapter
2019

General method for atomistic spin-lattice dynamics with first-principles accuracy

Johan Hellsvik, Danny Thonig, Klas Modin et al
Physical Review B. Vol. 99 (10)
Journal article
2019

Currents and Finite Elements as Tools for Shape Space

James Benn, Stephen Marsland, R. I. McLachlan et al
Journal of Mathematical Imaging and Vision. Vol. 61 (8), p. 1197-1220
Journal article
2019

A multiscale theory for image registration and nonlinear inverse problems

Klas Modin, Adrian Nachman, Luca Rondi
Advances in Mathematics. Vol. 346, p. 1009-1066
Journal article
2019

Geometry of the Madelung Transform

Boris Khesin, Gerard Misiołek, Klas Modin
Archive for Rational Mechanics and Analysis. Vol. 234 (2), p. 549-573
Journal article
2018

Geometric hydrodynamics via Madelung transform

Boris Khesin, Gerard Misiolek, Klas Modin
Proceedings of the National Academy of Sciences of the United States of America. Vol. 115 (24), p. 6165-6170
Journal article
2018

A Numerical Algorithm for C-2-Splines on Symmetric Spaces

Geir Bogfjellmo, Klas Modin, Olivier Verdier
SIAM Journal on Numerical Analysis. Vol. 56 (4), p. 2623-2647
Journal article
2017

Newton's Equation on Diffeomorphisms and Densities

Boris Khesin, Gerard Misiolek, Klas Modin
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 10589, p. 873-873
Paper in proceeding
2017

Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry

Klas Modin
Journal of Geometric Mechanics. Vol. 9 (3), p. 335-390
Journal article
2017

Moving Mesh and Image Registration in FEniCS

Jenny Larsson, Anders Logg, Klas Modin et al
Proceedings of 30th Nordic Seminar on Computational Mechanics – NSCM30, p. 180-183
Other conference contribution
2017

A minimal-variable symplectic integrator on spheres

Robert McLachlan, Klas Modin, Olivier Verdier
Mathematics of Computation. Vol. 86 (307), p. 2325-2344
Journal article
2017

Diffeomorphic random sampling using optimal information transport

M. Bauer, S. Joshi, Klas Modin
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 10589 LNCS, p. 135-142
Paper in proceeding
2017

On geodesic completeness for Riemannian metrics on smooth probability densities

M. Bauer, S. Joshi, Klas Modin
Calculus of Variations and Partial Differential Equations. Vol. 56 (4)
Journal article
2016

Symmetry reduction for central force problems

R. I. McLachlan, Klas Modin, Olivier Verdier
European Journal of Physics. Vol. 37 (5)
Journal article
2016

Geometry of Discrete-Time Spin Systems

R. I. McLachlan, Klas Modin, Olivier Verdier
Journal of Nonlinear Science. Vol. 26 (5), p. 1507-1523
Journal article
2016

Discrete Variational Derivative Methods for the EPDiff Equation

Stig Larsson, Takayasu Matsuo, Klas Modin et al
Preprint
2016

B-series methods are exactly the affine equivariant methods

R. I. McLachlan, Klas Modin, H. Munthe-Kaas et al
Numerische Mathematik. Vol. 133 (3), p. 599-622
Journal article
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. Vol. 1, p. 93-105
Paper in proceeding
2015

Symmetry reduction for central force problems

Robert McLachlan, Klas Modin, Olivier Verdier
Preprint
2015

Diffeomorphic density matching by optimal information transport

M. Bauer, S. Joshi, Klas Modin
SIAM Journal on Imaging Sciences. Vol. 8 (3), p. 1718-1751
Journal article
2015

Generalized Hunter–Saxton equations, optimal information transport, and factorization of diffeomorphisms

Klas Modin
Journal of Geometric Analysis. Vol. 25 (2), p. 1306-1334
Journal article
2015

What are Butcher series, really?

Robert McLachlan, Klas Modin, Hans Munthe-Kaas et al
Preprint
2015

Collective Lie-Poisson integrators on R3

Robert McLachlan, Klas Modin, Olivier Verdier
IMA Journal of Numerical Analysis. Vol. 35 (2), p. 546-560
Journal article
2015

Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration

Caleb Rottman, Martin Bauer, Klas Modin et al
Proceedings of the 5th MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA), Munich, Germany, October 9, 2015
Paper in proceeding
2014

An Efficient Exponential Integrator for Large Nonlinear Stiff Systems Part 1: Theoretical Investigation

Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin
Conference Proceedings of the Society for Experimental Mechanics Series. Vol. 2, p. 259-268
Paper in proceeding
2014

Discrete time Hamiltonian spin systems

Robert McLachlan, Klas Modin, Olivier Verdier
Preprint
2014

On conformal variational problems and free boundary continua

Stephen Marsland, Robert I McLachlan, Klas Modin et al
Journal of Physics A: Mathematical and Theoretical. Vol. 47 (14), p. Art. no. 145204-
Journal article
2014

Symplectic integrators for spin systems

R. I. McLachlan, Klas Modin, Olivier Verdier
Physical Review E. Vol. 89 (6), p. artikel nr 061301-
Journal article
2014

An Efficient Exponential Integrator for Large Nonlinear Stiff Systems Part 2: Symplecticity and Global Error Analysis

Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin
Conference Proceedings of the Society for Experimental Mechanics Series. Vol. 2, p. 269-280
Paper in proceeding
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, p. 2915-2929
Paper in proceeding
2014

Symplectic integrators for spin systems

Robert McLachlan, Klas Modin
Preprint
2014

Geometric Generalisations of Shake and Rattle

Robert I McLachlan, Klas Modin, Olivier Verdier et al
Foundations of Computational Mathematics. Vol. 14 (2), p. 339-370
Journal article
2014

Collective symplectic integrators

Robert McLachlan, Klas Modin, Olivier Verdier
Nonlinearity. Vol. 27 (6), p. 1525-1542
Journal article
2014

Integrability of Nonholonomically Coupled Oscillators

Klas Modin, Olivier Verdier
Discrete and Continuous Dynamical Systems. Vol. 34 (3), p. 1121-1130
Journal article
2013

Symplectic integrators for index one constraints

Robert McLachlan, Klas Modin, Olivier Verdier et al
SIAM Journal of Scientific Computing. Vol. 35 (5), p. A2150-A2162
Journal article
2012

Geodesic Warps by Conformal Mappings

Stephen Marsland, Robert I. McLachlan, Klas Modin et al
International Journal of Computer Vision
Journal article

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Showing 7 research projects

2024–2024

Infinite-dimensional Lie groups in hydrodynamics and beyond

Klas Modin Applied Mathematics and Statistics
The Royal Swedish Academy of Science

2023–2026

Long-time 2D hydrodynamics via quantization

Klas Modin Applied Mathematics and Statistics
Swedish Research Council (VR)

5 publications exist
2018–2021

Geometric numerical methods for computational anatomy

Klas Modin Applied Mathematics and Statistics
Swedish Research Council (VR)

5 publications exist
2016–2019

CHallenges in Preservation of Structure (CHiPS)

Klas Modin Applied Mathematics and Statistics
European Commission (EC)

2 publications exist
2015–2018

Geometry and Computational Anatomy (GEOCA)

Stig Larsson Applied Mathematics and Statistics
Klas Modin Applied Mathematics and Statistics
The Swedish Foundation for International Cooperation in Research and Higher Education (STINT)
European Commission (EC)

2 publications exist
2013–2018

Numerical methods for computational anatomy

Klas Modin Applied Mathematics and Statistics
Swedish Foundation for Strategic Research (SSF)

1 publication exists
2012–2015

Generalised Euler equations: theory, numerics, and computational anatomy

Klas Modin Applied Mathematics and Statistics
Swedish Research Council (VR)

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