### Preprints

- M. Bauer, S. Joshi, K. Modin. Diffeomorphic random sampling using optimal information transport.

[arXiv] - M. Bauer, S. Joshi, K. Modin. On Geodesic Completeness of Riemannian Metrics on Smooth Probability Densities.

[arXiv] - S. Larsson, T. Matsuo, K. Modin, M. Molteni. Discrete Variational Derivative Methods for the EPDiff Equation.

[arXiv] - R. McLachlan, K. Modin, H. Munthe-Kaas, O. Verdier. What are Butcher series, really?, 2015.

[arXiv]

### Peer-reviewed articles

- K. Modin. Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry, accepted in J. Geom. Mech., 2016.

[arXiv] - R. McLachlan, K. Modin, O. Verdier. Symmetry reduction for central force problems, Eur. J. Phys., 37(5):0055003, 2016.

[link] [arXiv] - R. McLachlan, K. Modin, O. Verdier. Geometry of discrete-time spin systems,
*J. Nonlin. Sci.*, 2016. 26(5):1507-1523, 2016.

[link] [arXiv] - C. Rottman, M. Bauer, K. Modin, S. Joshi. Weighted Diffeomorphic Density Matching with Applications to Thoracic Image Registration,
*Proc. 5th MICCAI Workshop on Mathematical Foundations of Computational Anatomy (MFCA)*, Munich, Germany, October 9, 2015.

[link] [arXiv] - R. McLachlan, K. Modin, O. Verdier. A minimal-variable symplectic integrator on spheres,
*Math. Comp.*, 2016. DOI:10.1090/mcom/3153

[link] [arXiv] - M. Bauer, S. Joshi, K. Modin. Diffeomorphic density matching by optimal information transport,
*SIAM J. Imaging Sci.*,**8**(3):1718-1751, 2015.

[link] [arXiv] - R. McLachlan, K. Modin, H. Munthe-Kaas, O. Verdier. B-series methods are exactly the affine equivariant methods,
*Numer. Math.*,**133**(3):599-622, 2016.

[link] [arXiv] - R. McLachlan, K. Modin, O. Verdier. Symplectic integrators for spin systems,
*Phys. Rev. E*,**89**:061301, 2014.

[link] [arXiv] - R. McLachlan, K. Modin, O. Verdier. Collective symplectic integrators,
*Nonlinearity*,**27**(6):1525-1542, 2014.

[link] [arXiv] - S. Marsland, R. McLachlan, K. Modin, M. Perlmutter. On conformal variational problems and free boundary continua,
*J. Phys. A*,**47**(14):145204, 2014.

[link] [arXiv] - R. McLachlan, K. Modin, O. Verdier. Collective Lie-Poisson integrators on R3,
*IMA. J. Num. Anal.*,**35**(2):546-560, 2015.

[link] [arXiv] - K. Modin. Generalized Hunter–Saxton equations, optimal information transport, and factorization of diffeomorphisms,
*J. Geom. Anal.*,**25**(2):1306-1334, 2015.

[link] [arXiv] - R. McLachlan, K. Modin, O. Verdier, M. Wilkins. Symplectic integrators for index 1 constraints,
*SIAM J. Sci. Comput. (SISC)*,**35**(5):A2150-A2162, 2013.

[link] [arXiv] - R. McLachlan, K. Modin, O. Verdier, M. Wilkins. Geometric Generalisations of SHAKE and RATTLE,
*Found. Comput. Math. (FoCM)*,**14**(2):339-370, 2014.

[link] [arXiv] - K. Modin and O. Verdier. Integrability of Nonholonomically Coupled Oscillators,
*Discrete Contin. Dyn. Syst.*,**34**(3):1121-1130, 2013.

[link] [arXiv] - S. Marsland, R. McLachlan, K. Modin, M. Perlmutter. Geodesic Warps by Conformal Mappings,
*Int. J. Comp. Vis.*,**105**(2):144-154, 2013

[link] [arXiv] - S. Marsland, R. McLachlan, K. Modin, M. Perlmutter. On a Geodesic Equation for Planar Conformal Template Matching.
*Proc. MFCA’11*, 2011.

[pdf] - K. Modin and G. Söderlind. Geometric Integration of Hamiltonian Systems Perturbed by Rayleigh Damping.
*BIT Num. Math.*,**51**(4):977-1007, 2011.

[link] [arXiv] - K. Modin, M. Perlmutter, S. Marsland, R. McLachlan. On Euler-Arnold Equations and Totally Geodesic Subgroups.
*J. Geom. Phys.*,**61**(8):1446-1461, 2011.

[link] - K. Modin. Time-transformation and reversibility of Nambu-Poisson systems.
*J. Gen. Lie Theory Appl.*,**3**(1):39-52, 2009.

[link] - K. Modin, On explicit adaptive symplectic integration of separable Hamiltonian systems,
*J. Mult. Body Mech.*,**222**(4):1464-1493, 2008.

[link] - K. Modin, D. Fritzson, and C. Führer, Semiexplicit Numerical Integration by Splitting with Application to Dynamic Multibody Problems with Contacts.
*Proceedings of The 48th Scandinavian Conference on Simulation and Modeling (SIMS 2007)*, Linköping University Electronic Press, 2007.

[pdf] - K. Modin, C. Führer, Time-step adaptivity in variational integrators with application to contact problems,
*ZAMM Z. Angew. Math. Mech.*,**86**(10):785-794, 2006.

[link] - K. Modin, D. Fritzson, C. Führer, and G. Söderlind.
*A new class of variable step-size methods for multibody dynamics.*Proceedings of Multibody Dynamics 2005, ECCOMAS Thematic Conference, Madrid, June 21–24, 2005.

[pdf]

### Technical reports, theses, etc.

- K. Modin.
*Diffeomorphic density transport – a numerical challenge*, MFO Report No. 18/2016, 50-53, 2016. DOI:10.4171/OWR/2016/18

[link] - K. Modin and S. Sommer (Eds.).
*Proceedings Of Math On The Rocks Shape Analysis Workshop In Grundsund*, Zendo, 2015. DOI:10.5281/zendo.33558

[link] - K. Modin, M. Perlmutter, S. Marsland, R. McLachlan. Geodesics on Lie Groups: Euler Equations and Totally Geodesic Subgroups.
*Res. Lett. Inf. Math. Sci.*,**14**:79-106, 2010.

[link] - K. Modin.
*Adaptive Geometric Numerical Integration of Mechanical Systems.*Ph.D. thesis, defended at Lund University May 22, 2009 (Opponent: Professor Brynjulf Owren, Trondheim), ISBN 978-91-628-7778-1, Lund University, 2009.

[link] - K. Modin. Geometric Integration of Non-autonomous Systems with Application to Rotor Dynamics, 2009.

[arXiv] - K. Modin,
*Adaptive Numerical Integrators for Dynamic Multibody Problems.*Licentiate thesis, defended at Lund University May 2008 (Opponent: Professor Ben Leimkuhler, Edinburgh), ISBN 978-91-633-2715-5, Lund University, 2008. - K. Modin, Sampling and Multistep Methods.
*Master’s Theses in Mathematical Sciences,*2004:E10, ISSN 1404-6342, Lund University, 2004.

[pdf] [summary]

### Conference talks

- K. Modin, R. McLachlan, O. Verdier,
*The Spherical Midpoint Method*, Foundations of Computational Mathematics, Barcelona, Spain, July 10-19, 2017. - K. Modin,
*Diffeomorphisms and imaging*, Manifolds and Geometric Integration Colloquia (MaGIC), Vatnahalsen, Norway, March 1-5, 2017. - K. Modin,
*The polar decomposition as the limit of a lifted entropy gradient flow*, CAVALIERI Workshop on Optimal Transport and Optimization in Imaging, Inria Research Center, Paris, October 11-12, 2016. - K. Modin,
*Deformation gradient flows*, Math in the Mine – Shape Analysis Meeting in Tende, France, June 26-July 2, 2016. - K. Modin,
*Diffeomorphic density transport – a numerical challenge*, MFO Workshop on Geometric Numerical Integration, Oberwolfach, Germany, March 20-26, 2016. - K. Modin,
*Matrix decompositions and associated Riemannian gradient flows*, Math on the Rocks – Shape Analysis Meeting in Grundsund, Sweden, July 2015. - K. Modin, M. Bauer, S. Joshi,
*Diffeomorphic density matching using Fisher-Rao geodesics*, ESI workshop: Infinite-dimensional Riemannian Geometry, Vienna, Austria, January 12-16, 2015. - K. Modin, R. McLachlan, O. Verdier,
*Spherical midpoint method*, Foundations of Computational Mathematics FoCM’14, Montevideo, Uruguay, December 11-20, 2014. - K. Modin,
*Optimal information transport*, AIMS conference 2014, workshop on Geometric Mechanics, Madrid, Spain, July 7-11, 2014. - K. Modin, R. McLachlan, O. Verdier,
*Spherical midpoint method*, MaGIC 2014, Meråker, Norway, February 24-27, 2014. - K. Modin, R. McLachlan, O. Verdier,
*Collective integrators for point vortex dynamics on the sphere*, SciCADE 2013, Valladolid, Spain, September 16-20, 2013 - K. Modin, O. Verdier,
*Structure preserving methods for non-holonomic systems: examples and counter-examples*, ANODE 2013 in celebration of the 80th birthday of John Butcher, Auckland, New Zealand, Januari 7-11, 2013. - K. Modin.
*Higher dimensional generalisation of the μ-Hunter-Saxton equation*, Geometry, Mechanics and Dynamics – the Legacy of Jerry Marsden, Field Institute, Toronto, Canada, July 3–27, 2012. - K. Modin.
*Higher dimensional generalisation of the μ-Hunter-Saxton equation*, Misteltoe Bay Geometric Integration Conference (MaGIC-2012), Marlborough Sounds, New Zealand, January 15–19, 2012. - K. Modin, S. Marsland, R. McLachlan, M. Perlmutter.
*On a Geodesic Equation for Planar Conformal Template Matching*, MICCAI workshop on Mathematical Foundations of Computational Anatomy (MFCA’11), September 22, 2011. - K. Modin, G. Söderlind.
*Geometric integration of Hamiltonian systems perturbed by Rayleigh damping*. Foundations of Computational Mathematics FoCM’11, Budapest, Hungary, July 4–14, 2011. - K. Modin, S. Marsland, R. McLachlan, M. Perlmutter.
*Generalised Euler Equations and Image Registration.*Tasmanian Rigorous Analysis and Geometric Integration Conference, Tasmania, Australia, December 12-16, 2010. - K. Modin, S. Marsland, R. McLachlan, M. Perlmutter.
*Generalised Euler Equations and Image Template Matching.*New Zealand Mathematical Society Colloquium 2010, University of Otago, Dunedin, New Zealand, December 7-9, 2010. - K. Modin, S. Marsland, R. McLachlan, M. Perlmutter.
*Generalised Euler Equations and Image Transformations*. The 13th Manawatu-Wellington Applied Mathematics Conference, Massey University, Palmerston North, New Zealand, November 12, 2010. - K. Modin.
*Geodesic flow, Euler equations and D’Arcy Thompson’s famous fish transformation.*BIT 50 – Trends in Numerical Computing, Lund, Sweden, June 17-20, 2010. - K. Modin, G. Söderlind.
*Geometric Integration of Hamiltonian Systems Perturbed by Rayleigh Damping.*ECCM 2010, IV European Conference on Computational Mechanics, Paris, France, May 16-21, 2010. - K. Modin, G. Söderlind.
*Geometric Integration of Hamiltonian Systems Perturbed by Rayleigh Damping.*New Zealand Mathematics Colloquium 2009, Massey University – Albany, Auckland, New Zealand, December 8-10, 2009. - K. Modin, G. Söderlind.
*Nambu Mechanics and its Connection to Adaptive Numerical Integration.*CoPS/Nordita Seminar, Stockholm, Sweden, December 2, 2008. - K. Modin.
*Nambu Mechanics and Time-transformation with Application to Adaptive Numerical Integration.*Nordic Öresund Workshop, Lund, Sweden, November 17–18, 2008. - K. Modin, G. Söderlind.
*On explicit adaptive symplectic integration of separable Hamiltonian systems.*AMS–NZMS 2007, Wellington, New Zealand, December 12–15, 2007. - K. Modin, D. Fritzson, and C. Führer.
*Semiexplicit Numerical Integration by Splitting with Application to Dynamic Multibody Problems with Contacts.*The 48th Scandinavian Conference on Simulation and Modeling (SIMS 2007), Göteborg (Särö), Sweden, 30–31 October, 2007. - K. Modin, G. Söderlind.
*Explicit adaptive integration of Poisson systems based on splitting.*SciCADE 2007, Saint–Malo, France, July 9–13, 2007. - K. Modin, C. Führer, G. Söderlind.
*Adaptivity in mechanical integrators. 11th Seminar “NUMDIFF” on Numerical Solution of Differential and Differential–Algebraic equations.*Halle, Germany, September 4–8, 2006. - K. Modin and C. Führer.
*Time-step adaptivity in variational integrators.*China- Norway-Sweden Workshop on Computational Mathematics, Lund, Sweden, June 5–7, 2006. - K. Modin.
*Rolling bearing simulations: model examples and numerical aspects.*2nd Workshop on Numerical Methods in Multibody Dynamics, Bad Herrenalb, Germany, October 26–28, 2005. - K. Modin, C. Führer, G. Söderlind.
*A new class of variable step-size methods for multibody dynamics.*Multibody Dynamics 2005, ECCOMAS Thematic Conference, Madrid, Spain, June 21–24, 2005.

### Scholarships and grants

- Grant for recruiting a post-doctoral researcher from outside Sweden, (Geir Bogfjellmo has been recruited), from KAW, March 2015.
- “Ruth och Nils-Erik Stenbäcks stipendium”, from The Finnish Society of Sciences and Letters, March 2015.
- Marie Sklodowska-Curie Individual Fellowship from EU Horizon 2020, Feb 2015.
- Transition grant from STINT, Feb 2015.
- Ingvar Carlsson Award from SSF, May 2013.
- Research grant from the Swedish Research Council for two years full-time research on generalised Euler equations, July 2012.
- Research grant from Kungliga Vetenskapsakademien, Stiftelsen G. S. Magnusons fond for research visit at the Fields Institute, Toronto, attending the thematic program on Inverse Problems and Imaging, May 2012.
- Post-doctoral scholarship from Birgit and Hellmuth Hertz’ Foundation, for post-doctoral stay at Massey University, 2010.
- Young researcher scholarship from “Bernt Järmarks stiftelse för vetenskaplig forskning” for research visit at Massey University, New Zealand, working with Professor Robert McLachlan on geometric integration, September 2009.
- Research grant from Kungliga Vetenskapsakademien, Stiftelsen G. S. Magnusons fond for research visit at Massey University, New Zealand, working with Professor Robert McLachlan on geometric integration, September 2009.
- Admitted to Oberwolfach Seminar on Geometric Numerical Integration, with a travel grant scholarship from the Siemens Foundation. Mathematisches Forschungsinstitute Oberwolfach, November 23–29, 2008.
- Young researcher scholarship from the Royal Physiographic Society in Lund for active participation in the conference: AMS–NZMS 2007, Wellington, New Zealand, December 12–15, 2007.
- Young researcher scholarship from “Bernt Järmarks stiftelse för vetenskaplig forskning” for active participation in the conference: 11th Seminar NUMDIFF on Numerical Solution of Differential and Differential-Algebraic Equations, Halle, Germany, September 4-8, 2006.

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