publications | Klas Modin

preprints | peer-reviewed | book chapters | technical reports

slides for conference talks: slides.com/kmodin

preprints

E. Jansson, and K. Modin

On the numerical signature of blow-up in hydrodynamic equations

2024

arXiv Bib

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

Information geometry of diffeomorphism groups

2024

arXiv Bib

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},
}

K. Modin, and M. Viviani

Two-dimensional fluids via matrix hydrodynamics

2024

arXiv Bib

E. Jansson, and K. Modin

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

2022

arXiv Bib

peer-reviewed articles

2025

K. Modin, and M. Roop

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

IMA J. Numer. Anal., 2025

arXiv DOI 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.}
}

LMS

K. Modin, and S. C. Preston

Zeitlin’s model for axisymmetric 3-D Euler equations

Nonlinearity, 2025

arXiv DOI 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

K. Modin, and M. Perrot

Eulerian and Lagrangian stability in Zeitlin’s model of hydrodynamics

Comm. Math. Phys., 2024

arXiv DOI 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},
}

K. Modin

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

J. Comput. Dyn., 2024

arXiv DOI 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},
}

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

Simple unbalanced optimal transport

Int. Math. Res. Not., 2024

arXiv DOI 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},
}

E. Jansson, and K. Modin

Convergence of the vertical gradient flow for the Gaussian Monge problem

J. Comput. Dyn., 2024

arXiv DOI 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

B. Khesin, and K. Modin

The Toda flow as a porous medium equation

Comm. Math. Phys., 2023

arXiv DOI 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},
}

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

Incompressible Euler equations with stochastic forcing: a geometric approach

Stochastic Process. Appl., 2023

arXiv DOI 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},
}

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

An efficient geometric method for incompressible hydrodynamics on the sphere

J. Comput. Phys., 2023

arXiv DOI 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

LMS

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

Shape analysis via gradient flows on diffeomorphism groups

Nonlinearity, 2022

arXiv DOI 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},
}

PhysRev

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

Casimir preserving spectrum of two-dimensional turbulence

Phys. Rev. Fluids, 2022

arXiv DOI 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},
}

JFM

K. Modin, and M. Viviani

Canonical scale separation in two-dimensional incompressible hydrodynamics

J. Fluid Mech., 2022

arXiv DOI 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

AMS

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

Geometric hydrodynamics and infinite-dimensional Newton’s equations

Bull. Amer. Math. Soc., 2021

arXiv DOI 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},
}

K. Modin, and M. Viviani

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

Arnold Math. J., 2021

arXiv DOI 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

K. Modin, and O. Verdier

What makes nonholonomic integrators work?

Numer. Math., 2020

arXiv DOI 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},
}

M. Bauer, and K. Modin

Semi-invariant Riemannian metrics in hydrodynamics

Calc. Var. Partial Differential Equations, 2020

arXiv DOI 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},
}

JFM

K. Modin, and M. Viviani

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

J. Fluid Mech., 2020

arXiv DOI 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},
}

FoCM

K. Modin, and M. Viviani

Lie-Poisson methods for isospectral flows

Found. Comput. Math., 2020

arXiv DOI 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

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

arXiv DOI 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},
}

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

Geometry of the Madelung transform

Arch. Ration. Mech. Anal., 2019

arXiv DOI 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},
}

PhysRev

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

arXiv DOI 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

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

A Multiscale Theory for Image Registration and Nonlinear Inverse Problems

Adv. Math., 2018

arXiv DOI 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},
}

SIAM

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

A Numerical Algorithm for C2-splines on Symmetric Spaces

SIAM J. Numer. Analysis, 2018

arXiv DOI 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},
}

PNAS

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

Geometric Hydrodynamics via Madelung Transform

Proc. Natl. Acad. Sci. USA, 2018

arXiv DOI 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

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

arXiv DOI 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},
}

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

On Geodesic Completeness of Riemannian Metrics on Smooth Probability Densities

Calc. Var. Partial Differential Equations, 2017

arXiv DOI 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},
}

K. Modin

Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry

J. Geom. Mech., 2017

arXiv DOI Bib

@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},
}

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},
  volume = {7},
  year = {2017},
}

AMS

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

A minimal-variable symplectic integrator on spheres

Math. Comp., 2017

arXiv DOI 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

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

Symmetry reduction for central force problems

Eur. J. Phys., 2016

arXiv DOI 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},
}

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

Geometry of discrete-time spin systems

J. Nonlin. Sci., 2016

arXiv DOI 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},
}

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

B-series methods are exactly the affine equivariant methods

Numer. Math., 2016

arXiv DOI 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

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},
  year = {2015},
}

SIAM

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

Diffeomorphic density matching by optimal information transport

SIAM J. Imaging Sci., 2015

arXiv DOI 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},
}

IMA

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

Collective Lie-Poisson integrators on R3

IMA. J. Num. Anal., 2015

arXiv DOI 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},
}

K. Modin

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

J. Geom. Anal., 2015

arXiv DOI 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

PhysRev

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

Symplectic integrators for spin systems

Phys. Rev. E, 2014

arXiv DOI 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},
}

LMS

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

Collective symplectic integrators

Nonlinearity, 2014

arXiv DOI 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},
}

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

On conformal variational problems and free boundary continua

J. Phys. A, 2014

arXiv DOI 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},
}

FoCM

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

Geometric Generalisations of SHAKE and RATTLE

Found. Comput. Math., 2014

arXiv DOI 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

SIAM

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

Symplectic integrators for index 1 constraints

SIAM J. Sci. Comput., 2013

arXiv DOI 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},
}

K. Modin, and O. Verdier

Integrability of Nonholonomically Coupled Oscillators

Discrete Contin. Dyn. Syst., 2013

arXiv DOI 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},
}

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

Geodesic Warps by Conformal Mappings

Int. J. Comput. Vis., 2013

arXiv DOI 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

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}
}

K. Modin, and G. Söderlind

Geometric Integration of Hamiltonian Systems Perturbed by Rayleigh Damping

BIT Num. Math., 2011

arXiv DOI 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},
}

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

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

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

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},
}

book chapters

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},
}

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},
}

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},
}

technical reports

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},
}

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},
}

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},
}

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},
}

K. Modin

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

Jul 2009

arXiv Bib