Klas Modin

Forskarassistent at Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

Mathematician focusing on geometric aspects of differential equations.

Source: orcid.org

Projects

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
Anders Logg Applied Mathematics and Statistics
Stig Larsson Applied Mathematics and Statistics
Matteo Molteni Mathematics
Geir Bogfjellmo Applied Mathematics and Statistics
Milo Viviani Applied Mathematics and Statistics
Swedish Foundation for Strategic Research (SSF)

2016–2019

CHallenges in Preservation of Structure (CHiPS)

Klas Modin Applied Mathematics and Statistics
European Commission (Horizon 2020)

2012–2015

Generalised Euler equations: theory, numerics, and computational anatomy

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

There might be more projects where Klas Modin participates, but you have to be logged in as a Chalmers employee to see them.

Publications

2017

Geometry of Matrix Decompositions Seen Through Optimal Transport and Information Geometry

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

On geodesic completeness for Riemannian metrics on smooth probability densities

M. Bauer, S. Joshi, Klas Modin et al
Calculus of Variations and Partial Differential Equations. Vol. 56 (4)
Scientific journal article - peer reviewed
2017

A minimal-variable symplectic integrator on spheres

Robert McLachlan, Klas Modin, Olivier Verdier et al
Mathematics of Computation. Vol. 86 (307), p. 2325-2344
Scientific journal article - peer reviewed
2016

Discrete Variational Derivative Methods for the EPDiff Equation

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

Geometry of Discrete-Time Spin Systems

R. I. McLachlan, Klas Modin, O. Verdier et al
Journal of Nonlinear Science. Vol. 26 (5), p. 1507-1523
Scientific journal article - peer reviewed
2016

Symmetry reduction for central force problems

R. I. McLachlan, Klas Modin, O. Verdier et al
European Journal of Physics. Vol. 37 (5)
Scientific journal article - peer reviewed
2016

Stability Limitations in Simulation of Dynamical Systems with Multiple Time-Scales

Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin et al
Conference Proceedings of the Society for Experimental Mechanics Series. Vol. 1, p. 93-105
Conference paper - peer reviewed
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
Scientific journal article - peer reviewed
2015

Proceedings Of Math On The Rocks Shape Analysis Workshop In Grundsund

Klas Modin, Stefan Sommer,
Monograph, book - edited
2015

Symmetry reduction for central force problems

Robert McLachlan, Klas Modin, Olivier Verdier et al
Preprint
2015

What are Butcher series, really?

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

A minimal-variable symplectic integrator on spheres

Robert McLachlan, Klas Modin, Olivier Verdier et al
Preprint
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
Conference paper - peer reviewed
2015

Diffeomorphic density matching by optimal information transport

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

Geometry of discrete-time spin systems

Robert I. McLachlan, Klas Modin, Olivier Verdier et al
Preprint
2015

Diffeomorphic density matching by optimal information transport

Martin Bauer, Sarang Joshi, Klas Modin et al
Preprint
2015

Collective Lie-Poisson integrators on R3

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

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

Klas Modin,
Journal of Geometric Analysis. Vol. 25 (2), p. 1306-1334
Scientific journal article - peer reviewed
2014

Integration of Hamiltonian systems with a structure preserving algorithm

Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin et al
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
Conference paper - peer reviewed
2014

Symplectic integrators for spin systems

R. I. McLachlan, Klas Modin, O. Verdier et al
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics. Vol. 89 (6), p. artikel nr 061301
Scientific journal article - peer reviewed
2014

Collective symplectic integrators

Robert McLachlan, Klas Modin, Olivier Verdier et al
Nonlinearity. Vol. 27 (6), p. 1525-1542
Scientific journal article - peer reviewed
2014

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

Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin et al
Proceedings of the 32nd IMAC, A Conference and Exposition on Structural Dynamics, 2014. Nonlinear Dynamics, Volume 2. Vol. 2, p. 269-280
Conference paper - peer reviewed
2014

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

Sadegh Rahrovani, Thomas Abrahamsson, Klas Modin et al
Proceedings of the 32nd IMAC, A Conference and Exposition on Structural Dynamics, 2014. Nonlinear Dynamics, Volume 2. Vol. 2, p. 259-268
Conference paper - peer reviewed
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
Scientific journal article - peer reviewed
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
Scientific journal article - peer reviewed
2014

Symplectic integrators for spin systems

Robert McLachlan, Klas Modin,
Preprint
2014

Discrete time Hamiltonian spin systems

Robert McLachlan, Klas Modin, Olivier Verdier et al
Preprint
2014

Integrability of Nonholonomically Coupled Oscillators

Klas Modin, Olivier Verdier,
Discrete and Continuous Dynamical Systems. Series A. Vol. 34 (3), p. 1121-1130
Scientific journal article - peer reviewed
2013

Collective Lie-Poisson integrators on R3

Klas Modin,
Preprint
2013

Symplectic integrators for index one constraints

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

Geodesic Warps by Conformal Mappings

Stephen Marsland, Robert I. McLachlan, Klas Modin et al
International Journal of Computer Vision
Scientific journal article - peer reviewed