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Klas Modin
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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
612019
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
422016
Generalized Hunter–Saxton equations, optimal information transport, and factorization of diffeomorphisms
K Modin
The Journal of Geometric Analysis 25, 1306-1334, 2015
422015
Diffeomorphic density matching by optimal information transport
M Bauer, S Joshi, K Modin
SIAM Journal on Imaging Sciences 8 (3), 1718-1751, 2015
422015
A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics
K Modin, M Viviani
Journal of Fluid Mechanics 884, A22, 2020
402020
Geometric integration of Hamiltonian systems perturbed by Rayleigh damping
K Modin, G Söderlind
BIT Numerical Mathematics 51, 977-1007, 2011
342011
Geometric hydrodynamics via Madelung transform
B Khesin, G Misiolek, K Modin
Proceedings of the National Academy of Sciences 115 (24), 6165-6170, 2018
322018
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
322015
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
302014
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
292014
A multiscale theory for image registration and nonlinear inverse problems
K Modin, A Nachman, L Rondi
arXiv preprint arXiv:1803.01790, 2018
192018
Canonical scale separation in two-dimensional incompressible hydrodynamics
K Modin, M Viviani
Journal of Fluid Mechanics 943, A36, 2022
182022
Lie–Poisson methods for isospectral flows
K Modin, M Viviani
Foundations of Computational Mathematics 20 (4), 889-921, 2020
182020
Geometry of the Madelung transform
B Khesin, G Misiołek, K Modin
Archive for Rational Mechanics and Analysis 234, 549-573, 2019
182019
Collective Lie–Poisson integrators on ℝ3
RI McLachlan, K Modin, O Verdier
IMA Journal of Numerical Analysis 35 (2), 546-560, 2015
182015
Integrability of nonholonomically coupled oscillators
K Modin, O Verdier
arXiv preprint arXiv:1212.6618, 2012
172012
A Numerical Algorithm for -Splines on Symmetric Spaces
G Bogfjellmo, K Modin, O Verdier
SIAM Journal on Numerical Analysis 56 (4), 2623-2647, 2018
162018
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