publications

1. S. Ephrati, E. Jansson, and K. Modin

   On spectral scaling laws for averaged turbulence on the sphere

   2025

   arXiv Bib

   @misc{EpJaMo2025,
     author = {Ephrati, S. and Jansson, E. and Modin, K.},
     title = {On spectral scaling laws for averaged turbulence on the sphere},
     year = {2025},
     url = {http://arxiv.org/abs/2503.05368},
   }

2. E. Jansson and K. Modin

   On the numerical signature of blow-up in hydrodynamic equations

   2024

   arXiv Bib

   @misc{JaMo2024,
     author = {Jansson, E. and Modin, K.},
     title = {On the numerical signature of blow-up in hydrodynamic equations},
     year = {2024},
     url = {http://arxiv.org/abs/2210.02328},
   }

3. B. Khesin, G. Misiolek, and K. Modin

   Information geometry of diffeomorphism groups

   2024

   arXiv Bib

   @misc{KhMiMo2024,
     title = {Information geometry of diffeomorphism groups},
     author = {Khesin, B. and Misiolek, G. and Modin, K.},
     year = {2024},
     url = {https://arxiv.org/abs/2411.03265},
   }

4. E. Jansson, J. Krook, K. Modin, and O. Öktem

   Geometric shape matching for recovering protein conformations from single-particle Cryo-EM data

   2024

   arXiv Bib

   @misc{JaMo2023,
     author = {Jansson, E. and Krook, J. and Modin, K. and Öktem, O.},
     title = {Geometric shape matching for recovering protein conformations from single-particle {Cryo-EM} data},
     year = {2024},
     url = {http://arxiv.org/abs/2410.00833},
   }

5. K. Modin and M. Viviani

   Two-dimensional fluids via matrix hydrodynamics

   2024

   arXiv Bib

   @misc{MoVi2024,
     title = {Two-dimensional fluids via matrix hydrodynamics},
     author = {Modin, K. and Viviani, M.},
     year = {2024},
     url = {https://arxiv.org/abs/2405.14282},
   }

2025

1. E. Jansson and K. Modin

   Sub-Riemannian landmark matching and its interpretation as residual neural networks

   accepted in J. Comput. Dyn., 2025

   arXiv Bib

   @article{JaMo2025,
     author = {Jansson, E. and Modin, K.},
     title = {Sub-{R}iemannian landmark matching and its interpretation as residual neural networks},
     journal = {accepted in J. Comput. Dyn.},
     year = {2025},
     url = {http://arxiv.org/abs/2204.09351},
   }

2. K. Modin and M. Roop

   Spatio-temporal Lie-Poisson discretization for incompressible magnetohydrodynamics on the sphere

   IMA J. Numer. Anal., 2025

   DOI arXiv Bib

   @article{MoRo2025,
     title = {Spatio-temporal {L}ie-{P}oisson discretization for incompressible magnetohydrodynamics on the sphere},
     author = {Modin, K. and Roop, M.},
     year = {2025},
     url = {https://doi.org/10.1093/imanum/draf024},
     doi = {10.1093/imanum/draf024},
     journal = {IMA J. Numer. Anal.}
   }

3. K. Modin and S. C. Preston

   Zeitlin’s model for axisymmetric 3-D Euler equations

   Nonlinearity, 2025

   DOI arXiv Bib

   @article{MoPr2025,
     author = {Modin, K. and Preston, S. C.},
     title = {Zeitlin's model for axisymmetric {3-D} {E}uler equations},
     year = {2025},
     url = {https://doi.org/10.1088/1361-6544/ada511},
     doi = {10.1088/1361-6544/ada511},
     journal = {Nonlinearity},
     volume = {38},
     pages = {025008}
   }

2024

1. K. Modin and M. Perrot

   Eulerian and Lagrangian stability in Zeitlin’s model of hydrodynamics

   Comm. Math. Phys., 2024

   DOI arXiv Bib

   @article{MoPe2024,
     author = {Modin, K. and Perrot, M.},
     journal = {Comm. Math. Phys.},
     title = {{E}ulerian and {L}agrangian stability in {Z}eitlin's model of hydrodynamics},
     url = {https://doi.org/10.1007/s00220-024-05047-x},
     doi = {10.1007/s00220-024-05047-x},
     pages = {177},
     volume = {405},
     year = {2024},
   }

2. K. Modin

   On the geometry and dynamical formulation of the Sinkhorn algorithm for optimal transport

   J. Comput. Dyn., 2024

   DOI arXiv Bib

   @article{Mo2024,
     author = {Modin, K.},
     journal = {J. Comput. Dyn.},
     title = {On the geometry and dynamical formulation of the {S}inkhorn algorithm for optimal transport},
     url = {https://doi.org/10.3934/jcd.2024006},
     doi = {10.3934/jcd.2024006},
     year = {2024},
   }

3. B. Khesin, K. Modin, and L. Volk

   Simple unbalanced optimal transport

   Int. Math. Res. Not., 2024

   DOI arXiv Bib

   @article{KhMoVo2024,
     author = {Khesin, B. and Modin, K. and Volk, L.},
     doi = {10.1093/imrn/rnae020},
     issue = {10},
     journal = {Int. Math. Res. Not.},
     pages = {8839--8855},
     title = {Simple unbalanced optimal transport},
     url = {https://doi.org/10.1093/imrn/rnae020},
     volume = {2024},
     year = {2024},
   }

4. E. Jansson and K. Modin

   Convergence of the vertical gradient flow for the Gaussian Monge problem

   J. Comput. Dyn., 2024

   DOI arXiv Bib

   @article{JaMo2024,
     author = {Jansson, E. and Modin, K.},
     doi = {10.3934/jcd.2023008},
     journal = {J. Comput. Dyn.},
     title = {Convergence of the vertical gradient flow for the {G}aussian {M}onge problem},
     url = {https://doi.org/10.3934/jcd.2023008},
     volume = {11},
     pages = {1--9},
     year = {2024},
   }

2023

1. B. Khesin and K. Modin

   The Toda flow as a porous medium equation

   Comm. Math. Phys., 2023

   DOI arXiv Bib

   @article{KhMo2023,
     author = {Khesin, B. and Modin, K.},
     doi = {10.1007/s00220-023-04680-2},
     journal = {Comm. Math. Phys.},
     pages = {1879--1898},
     title = {The {T}oda flow as a porous medium equation},
     url = {https://doi.org/10.1007/s00220-023-04680-2},
     volume = {401},
     year = {2023},
   }

2. M. Maurelli, K. Modin, and A. Schmeding

   Incompressible Euler equations with stochastic forcing: a geometric approach

   Stochastic Process. Appl., 2023

   DOI arXiv Bib

   @article{MaMoSc2023,
     author = {Maurelli, M. and Modin, K. and Schmeding, A.},
     doi = {10.1016/j.spa.2023.01.011},
     journal = {Stochastic Process. Appl.},
     pages = {101--148},
     title = {Incompressible {E}uler equations with stochastic forcing: a geometric approach},
     url = {https://doi.org/10.1016/j.spa.2023.01.011},
     volume = {159},
     year = {2023},
   }

3. P. Cifani, M. Viviani, and K. Modin

   An efficient geometric method for incompressible hydrodynamics on the sphere

   J. Comput. Phys., 2023

   DOI arXiv Bib

   @article{CiViMo2022,
     author = {Cifani, P. and Viviani, M. and Modin, K.},
     doi = {10.1016/j.jcp.2022.111772},
     journal = {J. Comput. Phys.},
     pages = {111772},
     title = {An efficient geometric method for incompressible hydrodynamics on the sphere},
     url = {https://doi.org/10.1016/j.jcp.2022.111772},
     volume = {473},
     year = {2023},
   }

2022

1. T. Balehowsky, C-J. Karlsson, and K. Modin

   Shape analysis via gradient flows on diffeomorphism groups

   Nonlinearity, 2022

   DOI arXiv Bib

   @article{BaKaMo2022,
     author = {Balehowsky, T. and Karlsson, C-J. and Modin, K.},
     doi = {10.1088/1361-6544/aca73c},
     journal = {Nonlinearity},
     pages = {862},
     title = {Shape analysis via gradient flows on diffeomorphism groups},
     url = {https://doi.org/10.1088/1361-6544/aca73c},
     volume = {36},
     year = {2022},
   }

2. P. Cifani, M. Viviani, E. Luesink, K. Modin, and B. Geurts

   Casimir preserving spectrum of two-dimensional turbulence

   Phys. Rev. Fluids, 2022

   DOI arXiv Bib

   @article{CiViLuMoGe2022,
     author = {Cifani, P. and Viviani, M. and Luesink, E. and Modin, K. and Geurts, B.},
     doi = {10.1103/PhysRevFluids.7.L082601},
     journal = {Phys. Rev. Fluids},
     pages = {L082601},
     title = {Casimir preserving spectrum of two-dimensional turbulence},
     url = {https://doi.org/10.1103/PhysRevFluids.7.L082601},
     volume = {7},
     year = {2022},
   }

3. K. Modin and M. Viviani

   Canonical scale separation in two-dimensional incompressible hydrodynamics

   J. Fluid Mech., 2022

   DOI arXiv Bib

   @article{MoVi2022,
     author = {Modin, K. and Viviani, M.},
     doi = {10.1017/jfm.2022.457},
     journal = {J. Fluid Mech.},
     pages = {A36},
     title = {Canonical scale separation in two-dimensional incompressible hydrodynamics},
     url = {https://doi.org/10.1017/jfm.2022.457},
     volume = {943},
     year = {2022},
   }

2021

1. B. Khesin, G. Misiolek, and K. Modin

   Geometric hydrodynamics and infinite-dimensional Newton’s equations

   Bull. Amer. Math. Soc., 2021

   DOI arXiv Bib

   @article{KhMiMo2021,
     author = {Khesin, B. and Misiolek, G. and Modin, K.},
     doi = {10.1090/bull/1728},
     journal = {Bull. Amer. Math. Soc.},
     pages = {377--442},
     title = {Geometric hydrodynamics and infinite-dimensional {N}ewton's equations},
     url = {https://doi.org/10.1090/bull/1728},
     volume = {58},
     year = {2021},
   }

2. K. Modin and M. Viviani

   Integrability of point-vortex dynamics via symplectic reduction: a survey

   Arnold Math. J., 2021

   DOI arXiv Bib

   @article{MoVi2021,
     author = {Modin, K. and Viviani, M.},
     doi = {10.1007/s40598-020-00162-8},
     journal = {Arnold Math. J.},
     number = {3},
     pages = {357--385},
     title = {Integrability of point-vortex dynamics via symplectic reduction: a survey},
     url = {https://doi.org/10.1007/s40598-020-00162-8},
     volume = {7},
     year = {2021},
   }

2020

1. K. Modin and O. Verdier

   What makes nonholonomic integrators work?

   Numer. Math., 2020

   DOI arXiv Bib

   @article{MoVe2020,
     author = {Modin, K. and Verdier, O.},
     doi = {10.1007/s00211-020-01126-y},
     journal = {Numer. Math.},
     pages = {405--435},
     title = {What makes nonholonomic integrators work?},
     url = {https://doi.org/10.1007/s00211-020-01126-y},
     volume = {145},
     year = {2020},
   }

2. M. Bauer and K. Modin

   Semi-invariant Riemannian metrics in hydrodynamics

   Calc. Var. Partial Differential Equations, 2020

   DOI arXiv Bib

   @article{BaMo2020,
     author = {Bauer, M. and Modin, K.},
     doi = {10.1007/s00526-020-1722-x},
     journal = {Calc. Var. Partial Differential Equations},
     pages = {65},
     title = {Semi-invariant {R}iemannian metrics in hydrodynamics},
     url = {https://doi.org/10.1007/s00526-020-1722-x},
     volume = {59},
     year = {2020},
   }

3. K. Modin and M. Viviani

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

   J. Fluid Mech., 2020

   DOI arXiv Bib

   @article{MoVi2020,
     author = {Modin, K. and Viviani, M.},
     doi = {10.1017/jfm.2019.944},
     journal = {J. Fluid Mech.},
     pages = {A22},
     title = {A {C}asimir preserving scheme for long-time simulation of spherical ideal hydrodynamics},
     url = {https://doi.org/10.1017/jfm.2019.944},
     volume = {884},
     year = {2020},
   }

4. K. Modin and M. Viviani

   Lie-Poisson methods for isospectral flows

   Found. Comput. Math., 2020

   DOI arXiv Bib

   @article{MoVi2020a,
     author = {Modin, K. and Viviani, M.},
     doi = {10.1007/s10208-019-09428-w},
     journal = {Found. Comput. Math.},
     pages = {889--921},
     title = {{L}ie-{P}oisson methods for isospectral flows},
     url = {https://doi.org/10.1007/s10208-019-09428-w},
     volume = {20},
     year = {2020},
   }

2019

1. J. Benn, S. Marsland, R. McLachlan, K. Modin, and O. Verdier

   Currents and finite elements as tools for shape space

   J. Math. Imaging Vis., 2019

   DOI arXiv Bib

   @article{BeMaMcMoVe2019,
     author = {Benn, J. and Marsland, S. and McLachlan, R. and Modin, K. and Verdier, O.},
     doi = {10.1007/s10851-019-00896-x},
     journal = {J. Math. Imaging Vis.},
     number = {8},
     pages = {1197--1220},
     title = {Currents and finite elements as tools for shape space},
     url = {https://doi.org/10.1007/s10851-019-00896-x},
     volume = {61},
     year = {2019},
   }

2. B. Khesin, G. Misiolek, and K. Modin

   Geometry of the Madelung transform

   Arch. Ration. Mech. Anal., 2019

   DOI arXiv Bib

   @article{KhMiMo2019,
     author = {Khesin, B. and Misiolek, G. and Modin, K.},
     doi = {10.1007/s00205-019-01397-2},
     journal = {Arch. Ration. Mech. Anal.},
     number = {2},
     pages = {549--573},
     title = {Geometry of the {M}adelung transform},
     url = {https://doi.org/10.1007/s00205-019-01397-2},
     volume = {234},
     year = {2019},
   }

3. J. Hellsvik, D. Thonig, K. Modin, D. Iusan, A. Bergman, O. Eriksson, L. Bergqvist, and A. Delin

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

   Phys. Rev. B, 2019

   DOI arXiv Bib

   @article{HeThMoIuBeErBeDe2019,
     author = {Hellsvik, J. and Thonig, D. and Modin, K. and Iusan, D. and Bergman, A. and Eriksson, O. and Bergqvist, L. and Delin, A.},
     doi = {10.1103/PhysRevB.99.104302},
     journal = {Phys. Rev. B},
     pages = {104302},
     title = {General method for atomistic spin-lattice dynamics with first-principles accuracy},
     url = {https://doi.org/10.1103/PhysRevB.99.104302},
     volume = {99},
     year = {2019},
   }

2018

1. K. Modin, A. Nachman, and L. Rondi

   A Multiscale Theory for Image Registration and Nonlinear Inverse Problems

   Adv. Math., 2018

   DOI arXiv Bib

   @article{MoNaRo2018,
     author = {Modin, K. and Nachman, A. and Rondi, L.},
     doi = {10.1016/j.aim.2019.02.014},
     journal = {Adv. Math.},
     pages = {1009--1066},
     title = {A Multiscale Theory for Image Registration and Nonlinear Inverse Problems},
     url = {https://doi.org/10.1016/j.aim.2019.02.014},
     volume = {346},
     year = {2018},
   }

2. G. Bogfjellmo, K. Modin, and O. Verdier

   A Numerical Algorithm for C2-splines on Symmetric Spaces

   SIAM J. Numer. Analysis, 2018

   DOI arXiv Bib

   @article{BoMoVe2018,
     author = {Bogfjellmo, G. and Modin, K. and Verdier, O.},
     doi = {10.1137/17M1123353},
     journal = {SIAM J. Numer. Analysis},
     number = {4},
     pages = {2623--2647},
     title = {A Numerical Algorithm for {C2}-splines on Symmetric Spaces},
     url = {https://doi.org/10.1137/17M1123353},
     volume = {56},
     year = {2018},
   }

3. B. Khesin, G. Misiolek, and K. Modin

   Geometric Hydrodynamics via Madelung Transform

   Proc. Natl. Acad. Sci. USA, 2018

   DOI arXiv Bib

   @article{KhMiMo2018,
     author = {Khesin, B. and Misiolek, G. and Modin, K.},
     doi = {10.1073/pnas.1719346115},
     journal = {Proc. Natl. Acad. Sci. USA},
     number = {24},
     pages = {6165--6170},
     title = {Geometric Hydrodynamics via {M}adelung Transform},
     url = {https://doi.org/10.1073/pnas.1719346115},
     volume = {115},
     year = {2018},
   }

2017

1. M. Bauer, S. Joshi, and K. Modin

   Diffeomorphic random sampling using optimal information transport

   In Nielsen F., Barbaresco F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science, vol 10589. Springer, 2017

   DOI arXiv Bib

   @inproceedings{BaJoMo2017,
     author = {Bauer, M. and Joshi, S. and Modin, K.},
     booktitle = {Nielsen F., Barbaresco F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science, vol 10589. Springer},
     doi = {10.1007/978-3-319-68445-1_16},
     title = {Diffeomorphic random sampling using optimal information transport},
     url = {https://doi.org/10.1007/978-3-319-68445-1_16},
     year = {2017},
   }

2. M. Bauer, S. Joshi, and K. Modin

   On Geodesic Completeness of Riemannian Metrics on Smooth Probability Densities

   Calc. Var. Partial Differential Equations, 2017

   DOI arXiv Bib

   @article{BaJoMo2017a,
     author = {Bauer, M. and Joshi, S. and Modin, K.},
     doi = {10.1007/s00526-017-1195-8},
     journal = {Calc. Var. Partial Differential Equations},
     pages = {113},
     title = {On Geodesic Completeness of {R}iemannian Metrics on Smooth Probability Densities},
     url = {http://dx.doi.org/10.1007/s00526-017-1195-8},
     volume = {56},
     year = {2017},
   }

3. K. Modin

   Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry

   J. Geom. Mech., 2017

   DOI arXiv Bib Slides

   @article{Mo2017,
     author = {Modin, K.},
     doi = {10.3934/jgm.2017014},
     journal = {J. Geom. Mech.},
     number = {3},
     pages = {335--390},
     title = {Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry},
     url = {http://dx.doi.org/10.3934/jgm.2017014},
     volume = {9},
     year = {2017},
   }

4. R. McLachlan, K. Modin, H. Munthe-Kaas, and O. Verdier

   Butcher series: A story of rooted trees and numerical methods for evolution equations

   Asia Pacific Mathematics Newsletter, 2017

   arXiv Bib

   @article{McMoMuVe2017,
     author = {McLachlan, R. and Modin, K. and Munthe-Kaas, H. and Verdier, O.},
     journal = {Asia Pacific Mathematics Newsletter},
     number = {1},
     pages = {1--11},
     title = {Butcher series: A story of rooted trees and numerical methods for evolution equations},
     url = {http://www.asiapacific-mathnews.com/07/0701/0001_0011.pdf},
     volume = {7},
     year = {2017},
   }

5. R. McLachlan, K. Modin, and O. Verdier

   A minimal-variable symplectic integrator on spheres

   Math. Comp., 2017

   DOI arXiv Bib

   @article{McMoVe2017,
     author = {McLachlan, R. and Modin, K. and Verdier, O.},
     doi = {10.1090/mcom/3153},
     journal = {Math. Comp.},
     number = {307},
     pages = {2325--2344},
     title = {A minimal-variable symplectic integrator on spheres},
     url = {http://dx.doi.org/10.1090/mcom/3153},
     volume = {86},
     year = {2017},
   }

2016

1. R. McLachlan, K. Modin, and O. Verdier

   Symmetry reduction for central force problems

   Eur. J. Phys., 2016

   DOI arXiv Bib

   @article{McMoVe2016,
     author = {McLachlan, R. and Modin, K. and Verdier, O.},
     doi = {10.1088/0143-0807/37/5/055003},
     journal = {Eur. J. Phys.},
     number = {5},
     pages = {0055003},
     title = {Symmetry reduction for central force problems},
     url = {http://dx.doi.org/10.1088/0143-0807/37/5/055003},
     volume = {37},
     year = {2016},
   }

2. R. McLachlan, K. Modin, and O. Verdier

   Geometry of discrete-time spin systems

   J. Nonlin. Sci., 2016

   DOI arXiv Bib

   @article{McMoVe2016a,
     author = {McLachlan, R. and Modin, K. and Verdier, O.},
     doi = {10.1007/s00332-016-9311-z},
     journal = {J. Nonlin. Sci.},
     number = {5},
     pages = {1507--1523},
     title = {Geometry of discrete-time spin systems},
     url = {http://dx.doi.org/10.1007/s00332-016-9311-z},
     volume = {26},
     year = {2016},
   }

3. R. McLachlan, K. Modin, H. Munthe-Kaas, and O. Verdier

   B-series methods are exactly the affine equivariant methods

   Numer. Math., 2016

   DOI arXiv Bib

   @article{McMoMuVe2016,
     author = {McLachlan, R. and Modin, K. and Munthe-Kaas, H. and Verdier, O.},
     doi = {10.1007/s00211-015-0753-2},
     journal = {Numer. Math.},
     number = {3},
     pages = {599--622},
     title = {B-series methods are exactly the affine equivariant methods},
     url = {http://dx.doi.org/10.1007/s00211-015-0753-2},
     volume = {133},
     year = {2016},
   }

2015

1. C. Rottman, M. Bauer, K. Modin, and S. Joshi

   Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration

   In Proc. 5th MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA), Munich, Germany, October 9, 2015

   arXiv Bib

   @inproceedings{RoBaMoJo2015,
     author = {Rottman, C. and Bauer, M. and Modin, K. and Joshi, S.},
     booktitle = {Proc. 5th MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA), Munich, Germany, October 9},
     title = {Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration},
     url = {http://www-sop.inria.fr/asclepios/events/MFCA15/MFCA15_Proceedings.pdf},
     year = {2015},
   }

2. M. Bauer, S. Joshi, and K. Modin

   Diffeomorphic density matching by optimal information transport

   SIAM J. Imaging Sci., 2015

   DOI arXiv Bib

   @article{BaJoMo2015,
     author = {Bauer, M. and Joshi, S. and Modin, K.},
     doi = {10.1137/151006238},
     journal = {SIAM J. Imaging Sci.},
     number = {3},
     pages = {1718--1751},
     title = {Diffeomorphic density matching by optimal information transport},
     url = {http://dx.doi.org/10.1137/151006238},
     volume = {8},
     year = {2015},
   }

3. R. McLachlan, K. Modin, and O. Verdier

   Collective Lie-Poisson integrators on R3

   IMA. J. Num. Anal., 2015

   DOI arXiv Bib

   @article{McMoVe2015,
     author = {McLachlan, R. and Modin, K. and Verdier, O.},
     doi = {10.1093/imanum/dru013},
     journal = {IMA. J. Num. Anal.},
     number = {2},
     pages = {546--560},
     title = {Collective {L}ie-{P}oisson integrators on {R3}},
     url = {http://dx.doi.org/10.1093/imanum/dru013},
     volume = {35},
     year = {2015},
   }

4. K. Modin

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

   J. Geom. Anal., 2015

   DOI arXiv Bib

   @article{Mo2015,
     author = {Modin, K.},
     doi = {10.1007/s12220-014-9469-2},
     journal = {J. Geom. Anal.},
     number = {2},
     pages = {1306--1334},
     title = {Generalized {H}unter-{S}axton equations, optimal information transport, and factorization of diffeomorphisms},
     url = {http://dx.doi.org/10.1007/s12220-014-9469-2},
     volume = {25},
     year = {2015},
   }

2014

1. R. McLachlan, K. Modin, and O. Verdier

   Symplectic integrators for spin systems

   Phys. Rev. E, 2014

   DOI arXiv Bib

   @article{McMoVe2014,
     author = {McLachlan, R. and Modin, K. and Verdier, O.},
     doi = {10.1103/PhysRevE.89.061301},
     journal = {Phys. Rev. E},
     pages = {061301},
     title = {Symplectic integrators for spin systems},
     url = {http://dx.doi.org/10.1103/PhysRevE.89.061301},
     volume = {89},
     year = {2014},
   }

2. R. McLachlan, K. Modin, and O. Verdier

   Collective symplectic integrators

   Nonlinearity, 2014

   DOI arXiv Bib

   @article{McMoVe2014a,
     author = {McLachlan, R. and Modin, K. and Verdier, O.},
     doi = {10.1088/0951-7715/27/6/1525},
     journal = {Nonlinearity},
     number = {6},
     pages = {1525--1542},
     title = {Collective symplectic integrators},
     url = {http://dx.doi.org/10.1088/0951-7715/27/6/1525},
     volume = {27},
     year = {2014},
   }

3. S. Marsland, R. McLachlan, K. Modin, and M. Perlmutter

   On conformal variational problems and free boundary continua

   J. Phys. A, 2014

   DOI arXiv Bib

   @article{MaMcMoPe2014,
     author = {Marsland, S. and McLachlan, R. and Modin, K. and Perlmutter, M.},
     doi = {10.1088/1751-8113/47/14/145204},
     journal = {J. Phys. A},
     number = {14},
     pages = {145204},
     title = {On conformal variational problems and free boundary continua},
     url = {http://dx.doi.org/10.1088/1751-8113/47/14/145204},
     volume = {47},
     year = {2014},
   }

4. R. McLachlan, K. Modin, O. Verdier, and M. Wilkins

   Geometric Generalisations of SHAKE and RATTLE

   Found. Comput. Math., 2014

   DOI arXiv Bib

   @article{McMoVeWi2014,
     author = {McLachlan, R. and Modin, K. and Verdier, O. and Wilkins, M.},
     doi = {10.1007/s10208-013-9163-y},
     journal = {Found. Comput. Math.},
     number = {2},
     pages = {339--370},
     title = {Geometric Generalisations of {SHAKE} and {RATTLE}},
     url = {http://dx.doi.org/10.1007/s10208-013-9163-y},
     volume = {14},
     year = {2014},
   }

2013

1. R. McLachlan, K. Modin, O. Verdier, and M. Wilkins

   Symplectic integrators for index 1 constraints

   SIAM J. Sci. Comput., 2013

   DOI arXiv Bib

   @article{McMoVeWi2013,
     author = {McLachlan, R. and Modin, K. and Verdier, O. and Wilkins, M.},
     doi = {10.1137/120885085},
     journal = {SIAM J. Sci. Comput.},
     number = {5},
     pages = {A2150--A2162},
     title = {Symplectic integrators for index 1 constraints},
     url = {http://dx.doi.org/10.1137/120885085},
     volume = {35},
     year = {2013},
   }

2. K. Modin and O. Verdier

   Integrability of Nonholonomically Coupled Oscillators

   Discrete Contin. Dyn. Syst., 2013

   DOI arXiv Bib

   @article{MoVe2013,
     author = {Modin, K. and Verdier, O.},
     doi = {10.3934/dcds.2014.34.1121},
     journal = {Discrete Contin. Dyn. Syst.},
     number = {3},
     pages = {1121--1130},
     title = {Integrability of Nonholonomically Coupled Oscillators},
     url = {http://dx.doi.org/10.3934/dcds.2014.34.1121},
     volume = {34},
     year = {2013},
   }

3. S. Marsland, R. McLachlan, K. Modin, and M. Perlmutter

   Geodesic Warps by Conformal Mappings

   Int. J. Comput. Vis., 2013

   DOI arXiv Bib

   @article{MaMcMoPe2013,
     author = {Marsland, S. and McLachlan, R. and Modin, K. and Perlmutter, M.},
     doi = {10.1007/s11263-012-0584-x},
     journal = {Int. J. Comput. Vis.},
     number = {2},
     pages = {144--154},
     title = {Geodesic Warps by Conformal Mappings},
     url = {http://dx.doi.org/10.1007/s11263-012-0584-x},
     volume = {105},
     year = {2013},
   }

2011

1. S. Marsland, R. McLachlan, K. Modin, and M. Perlmutter

   On a Geodesic Equation for Planar Conformal Template Matching

   In Proc. MFCA’11, 2011

   Bib

   @inproceedings{MaMcMoPe2011,
     author = {Marsland, S. and McLachlan, R. and Modin, K. and Perlmutter, M.},
     booktitle = {Proc. MFCA'11},
     title = {On a Geodesic Equation for Planar Conformal Template Matching},
     year = {2011}
   }

2. K. Modin and G. Söderlind

   Geometric Integration of Hamiltonian Systems Perturbed by Rayleigh Damping

   BIT Num. Math., 2011

   DOI arXiv Bib

   @article{MoSo2011,
     author = {Modin, K. and S{\"o}derlind, G.},
     doi = {10.1007/s10543-011-0345-1},
     journal = {BIT Num. Math.},
     number = {4},
     pages = {977--1007},
     title = {Geometric Integration of Hamiltonian Systems Perturbed by {R}ayleigh Damping},
     url = {http://dx.doi.org/10.1007/s10543-011-0345-1},
     volume = {51},
     year = {2011},
   }

3. K. Modin, M. Perlmutter, S. Marsland, and R. McLachlan

   On Euler-Arnold Equations and Totally Geodesic Subgroups

   J. Geom. Phys., 2011

   DOI Bib

   @article{MoPeMaMc2011,
     author = {Modin, K. and Perlmutter, M. and Marsland, S. and McLachlan, R.},
     doi = {10.1016/j.geomphys.2011.03.007},
     journal = {J. Geom. Phys.},
     number = {8},
     pages = {1446--1461},
     title = {On {E}uler-{A}rnold Equations and Totally Geodesic Subgroups},
     url = {http://dx.doi.org/10.1016/j.geomphys.2011.03.007},
     volume = {61},
     year = {2011},
   }

2009

1. K. Modin

   Time-transformation and reversibility of Nambu-Poisson systems

   J. Gen. Lie Theory Appl., 2009

   Bib HTML

   @article{Mo2009,
     author = {Modin, K.},
     journal = {J. Gen. Lie Theory Appl.},
     number = {1},
     pages = {39--52},
     title = {Time-transformation and reversibility of {N}ambu-{P}oisson systems},
     url = {https://projecteuclid.org/journals/journal-of-generalized-lie-theory-and-applications/volume-3/issue-1/Time-transformation-and-reversibility-of-Nambu--Poisson-systems/10.4303/jglta/S080103.full},
     volume = {3},
     year = {2009},
   }

2008

1. K. Modin

   On explicit adaptive symplectic integration of separable Hamiltonian systems

   J. Mult. Body Mech., 2008

   DOI Bib

   @article{Mo2008,
     author = {Modin, K.},
     doi = {10.1243/14644193JMBD171},
     journal = {J. Mult. Body Mech.},
     number = {4},
     pages = {1464--1493},
     title = {On explicit adaptive symplectic integration of separable {H}amiltonian systems},
     url = {http://dx.doi.org/10.1243/14644193JMBD171},
     volume = {222},
     year = {2008},
   }

2006

1. K. Modin and C. Führer

   Time-step adaptivity in variational integrators with application to contact problems

   ZAMM Z. Angew. Math. Mech., 2006

   DOI Bib

   @article{MoFu2006,
     author = {Modin, K. and F{\"u}hrer, C.},
     doi = {10.1002/zamm.200610286},
     journal = {ZAMM Z. Angew. Math. Mech.},
     number = {10},
     pages = {785--794},
     title = {Time-step adaptivity in variational integrators with application to contact problems},
     url = {http://dx.doi.org/10.1002/zamm.200610286},
     volume = {86},
     year = {2006},
   }

1. K. Modin

   Geometric Hydrodynamics: from Euler, to Poincaré, to Arnold

   In 13th Young Researchers Workshop on Geometry, Mechanics and Control: Three Mini-courses, 2019

   arXiv Bib

   @incollection{Mo2019,
     address = {Portugal},
     author = {Modin, K.},
     booktitle = {13th Young Researchers Workshop on Geometry, Mechanics and Control: Three Mini-courses},
     pages = {69--92},
     publisher = {Departamento de Matematica da Universidade de Coimbra},
     title = {Geometric Hydrodynamics: from {E}uler, to {P}oincar\'e, to {A}rnold},
     volume = {48},
     year = {2019},
   }

2. M. Bauer, S. Joshi, and K Modin

   Diffeomorphic density registration

   In Riemannian Geometric Statistics in Medical Image Analysis, 2020

   DOI Bib

   @incollection{BaJoMo2020,
     author = {Bauer, M. and Joshi, S. and Modin, K},
     title = {Diffeomorphic density registration},
     editor = {Pennec, X. and Sommer, S. and Fletcher, T.},
     booktitle = {Riemannian Geometric Statistics in Medical Image Analysis},
     publisher = {Academic Press},
     pages = {577-603},
     year = {2020},
     isbn = {978-0-12-814725-2},
     doi = {10.1016/B978-0-12-814725-2.00025-X},
   }

3. K. Modin

   Adaptive Geometric Numerical Integration of Mechanical Systems

   Lund University, 2009

   Bib HTML

   @phdthesis{Mo2009thesis,
     author = {Modin, K.},
     school = {Lund University},
     title = {Adaptive Geometric Numerical Integration of Mechanical Systems},
     year = {2009},
     url = {http://lup.lub.lu.se/record/1390975},
   }

1. S. S. Larsson, T. Matsuo, K. Modin, and M. Molteni

   Discrete Variational Derivative Methods for the EPDiff Equation

   2016

   arXiv Bib

   @techreport{LaMaMoMo2016,
     author = {S. Larsson, S. and Matsuo, T. and Modin, K. and Molteni, M.},
     institution = {Chalmers University of Technology},
     keywords = {Euler equations, Shape analysis},
     title = {Discrete Variational Derivative Methods for the {EPDiff} Equation},
     year = {2016},
   }

2. K. Modin

   Diffeomorphic density transport - a numerical challenge

   In Oberwolfach Rep. 13: Geometric Numerical Integration, 2016

   DOI Bib

   @inproceedings{Mo2016a,
     author = {Modin, K.},
     booktitle = {Oberwolfach Rep. 13: Geometric Numerical Integration},
     doi = {10.4171/OWR/2016/18},
     editor = {Faou, E. and Hairer, E. and Hochbruck, M. and Lubich, C.},
     number = {18},
     title = {Diffeomorphic density transport - a numerical challenge},
     year = {2016},
   }

3. Proceedings of Math on the Rocks Shape Analysis Workshop in Grundsund

   Jul 2015

   DOI Bib

   @proceedings{MoSo2015,
     doi = {10.5281/zenodo.33558},
     editor = {Modin, K. and Sommer, S.},
     month = jul,
     publisher = {Zenodo},
     title = {Proceedings of Math on the Rocks Shape Analysis Workshop in Grundsund},
     url = {http://dx.doi.org/10.5281/zenodo.33558},
     year = {2015},
   }

4. K. Modin, M. Perlmutter, S Marsland, and R. McLachlan

   Geodesics on Lie Groups: Euler Equations and Totally Geodesic Subgroups

   Jul 2010

   Bib HTML

   @techreport{MoPeMaMc2010,
     author = {Modin, K. and Perlmutter, M. and Marsland, S and McLachlan, R.},
     institution = {Massey University},
     title = {Geodesics on Lie Groups: Euler Equations and Totally Geodesic Subgroups},
     url = {http://hdl.handle.net/10179/4512},
     year = {2010},
   }

5. K. Modin

   Geometric integration of non-autonomous systems with application to rotor dynamics

   Jul 2009

   arXiv Bib

   @techreport{Mo2009a,
     author = {Modin, K.},
     institution = {Lund University},
     title = {Geometric integration of non-autonomous systems with application to rotor dynamics},
     year = {2009},
   }