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 | 70 | 2019 |
A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics K Modin, M Viviani Journal of Fluid Mechanics 884, A22, 2020 | 48 | 2020 |
Geometry of matrix decompositions seen through optimal transport and information geometry K Modin arXiv preprint arXiv:1601.01875, 2016 | 46 | 2016 |
B-series methods are exactly the affine equivariant methods RI McLachlan, K Modin, H Munthe-Kaas, O Verdier Numerische Mathematik 133, 599-622, 2016 | 45* | 2016 |
Diffeomorphic density matching by optimal information transport M Bauer, S Joshi, K Modin SIAM Journal on Imaging Sciences 8 (3), 1718-1751, 2015 | 44 | 2015 |
Generalized Hunter–Saxton equations, optimal information transport, and factorization of diffeomorphisms K Modin The Journal of Geometric Analysis 25, 1306-1334, 2015 | 43 | 2015 |
Geometric hydrodynamics via Madelung transform B Khesin, G Misiolek, K Modin Proceedings of the National Academy of Sciences 115 (24), 6165-6170, 2018 | 35 | 2018 |
Geometric integration of Hamiltonian systems perturbed by Rayleigh damping K Modin, G Söderlind BIT Numerical Mathematics 51, 977-1007, 2011 | 35 | 2011 |
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 | 34 | 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 | 33* | 2021 |
Geometric Generalisations of shake and rattle R I McLachlan, K Modin, O Verdier, M Wilkins Foundations of Computational Mathematics 14, 339-370, 2014 | 31 | 2014 |
Symplectic integrators for spin systems RI McLachlan, K Modin, O Verdier Physical Review E 89 (6), 061301, 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 |
Canonical scale separation in two-dimensional incompressible hydrodynamics K Modin, M Viviani Journal of Fluid Mechanics 943, A36, 2022 | 24 | 2022 |
A multiscale theory for image registration and nonlinear inverse problems K Modin, A Nachman, L Rondi arXiv preprint arXiv:1803.01790, 2018 | 23 | 2018 |
Lie–Poisson methods for isospectral flows K Modin, M Viviani Foundations of Computational Mathematics 20 (4), 889-921, 2020 | 21 | 2020 |
Geometry of the Madelung transform B Khesin, G Misiołek, K Modin Archive for Rational Mechanics and Analysis 234, 549-573, 2019 | 21 | 2019 |
An efficient geometric method for incompressible hydrodynamics on the sphere P Cifani, M Viviani, K Modin Journal of Computational Physics 473, 111772, 2023 | 19 | 2023 |
A Numerical Algorithm for -Splines on Symmetric Spaces G Bogfjellmo, K Modin, O Verdier SIAM Journal on Numerical Analysis 56 (4), 2623-2647, 2018 | 18 | 2018 |
Collective Lie–Poisson integrators on ℝ3 RI McLachlan, K Modin, O Verdier IMA Journal of Numerical Analysis 35 (2), 546-560, 2015 | 18 | 2015 |