General method for atomistic spin-lattice dynamics with first-principles accuracy J Hellsvik, D Thonig, K Modin, D Iuşan, A Bergman, O Eriksson, ...
Physical Review B 99 (10), 104302, 2019
62 2019 B-series methods are exactly the affine equivariant methods RI McLachlan, K Modin, H Munthe-Kaas, O Verdier
Numerische Mathematik 133, 599-622, 2016
43 * 2016 Geometry of matrix decompositions seen through optimal transport and information geometry K Modin
arXiv preprint arXiv:1601.01875, 2016
42 2016 Generalized Hunter–Saxton equations, optimal information transport, and factorization of diffeomorphisms K Modin
The Journal of Geometric Analysis 25, 1306-1334, 2015
42 2015 Diffeomorphic density matching by optimal information transport M Bauer, S Joshi, K Modin
SIAM Journal on Imaging Sciences 8 (3), 1718-1751, 2015
42 2015 A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics K Modin, M Viviani
Journal of Fluid Mechanics 884, A22, 2020
40 2020 Geometric integration of Hamiltonian systems perturbed by Rayleigh damping K Modin, G Söderlind
BIT Numerical Mathematics 51, 977-1007, 2011
34 2011 Geometric hydrodynamics via Madelung transform B Khesin, G Misiolek, K Modin
Proceedings of the National Academy of Sciences 115 (24), 6165-6170, 2018
32 2018 Butcher series: a story of rooted trees and numerical methods for evolution equations RI McLachlan, K Modin, H Munthe-Kaas, O Verdier
arXiv preprint arXiv:1512.00906, 2015
32 2015 Geometric hydrodynamics and infinite-dimensional Newton’s equations B Khesin, G Misiołek, K Modin
Bulletin of the American Mathematical Society 58 (3), 377-442, 2021
30 * 2021 Geometric Generalisations of shake and rattle R I McLachlan, K Modin, O Verdier, M Wilkins
Foundations of Computational Mathematics 14, 339-370, 2014
30 2014 On Euler–Arnold equations and totally geodesic subgroups K Modin, M Perlmutter, S Marsland, R McLachlan
Journal of Geometry and Physics 61 (8), 1446-1461, 2011
30 * 2011 Symplectic integrators for spin systems RI McLachlan, K Modin, O Verdier
Physical Review E 89 (6), 061301, 2014
29 2014 A multiscale theory for image registration and nonlinear inverse problems K Modin, A Nachman, L Rondi
arXiv preprint arXiv:1803.01790, 2018
19 2018 Canonical scale separation in two-dimensional incompressible hydrodynamics K Modin, M Viviani
Journal of Fluid Mechanics 943, A36, 2022
18 2022 Lie–Poisson methods for isospectral flows K Modin, M Viviani
Foundations of Computational Mathematics 20 (4), 889-921, 2020
18 2020 Geometry of the Madelung transform B Khesin, G Misiołek, K Modin
Archive for Rational Mechanics and Analysis 234, 549-573, 2019
18 2019 Collective Lie–Poisson integrators on ℝ3 RI McLachlan, K Modin, O Verdier
IMA Journal of Numerical Analysis 35 (2), 546-560, 2015
18 2015 Integrability of nonholonomically coupled oscillators K Modin, O Verdier
arXiv preprint arXiv:1212.6618, 2012
17 2012 A Numerical Algorithm for -Splines on Symmetric Spaces G Bogfjellmo, K Modin, O Verdier
SIAM Journal on Numerical Analysis 56 (4), 2623-2647, 2018
16 2018