Klas Modin
Associate Professor at
Applied Mathematics and Statistics
Mathematician focusing on geometric and numerical aspects of differential equations.
Source: orcid.org
Showing 42 publications
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
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
A Casimir preserving scheme for long-Time simulation of spherical ideal hydrodynamics
Klas Modin, Milo Viviani
Journal of Fluid Mechanics
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
2019
Lie–Poisson Methods for Isospectral Flows
Klas Modin, Milo Viviani
Foundations of Computational Mathematics
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
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
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
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 proceedings
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
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
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, p. 135-142
Paper in proceedings
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
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
Discrete Variational Derivative Methods for the EPDiff Equation
Stig Larsson, Takayasu Matsuo, Klas Modin et al
Preprint
2016
Symmetry reduction for central force problems
R. I. McLachlan, Klas Modin, Olivier Verdier
European Journal of Physics. Vol. 37 (5)
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 proceedings
2015
Proceedings Of Math On The Rocks Shape Analysis Workshop In Grundsund
Klas Modin, Stefan Sommer
Edited book
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
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 proceedings
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
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. Vol. 2, p. 259-268
Paper in proceedings
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
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
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. Vol. 2, p. 269-280
Paper in proceedings
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 proceedings
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
Showing 5 research projects
2018–2021
Geometric numerical methods for computational anatomy
Klas Modin
Applied Mathematics and Statistics
Swedish Research Council (VR)
2016–2019
CHallenges in Preservation of Structure (CHiPS)
Klas Modin
Applied Mathematics and Statistics
European Commission (Horizon 2020)
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 (Horizon 2020)
2013–2018
Numerical methods for computational anatomy
Klas Modin
Applied Mathematics and Statistics
Swedish Foundation for Strategic Research (SSF)
2012–2015
Generalised Euler equations: theory, numerics, and computational anatomy
Klas Modin
Applied Mathematics and Statistics
Swedish Research Council (VR)
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