Contact variational integrators M Vermeeren, A Bravetti, M Seri Journal of Physics A: Mathematical and Theoretical 52 (44), 445206, 2019 | 50 | 2019 |
On the Lagrangian structure of integrable hierarchies YB Suris, M Vermeeren Advances in Discrete Differential Geometry, 347-378, 2016 | 34 | 2016 |
Modified equations for variational integrators M Vermeeren Numerische Mathematik 137 (4), 1001-1037, 2017 | 30 | 2017 |
Numerical integration in celestial mechanics: a case for contact geometry A Bravetti, M Seri, M Vermeeren, F Zadra Celestial Mechanics and Dynamical Astronomy 132 (1), 7, 2020 | 24 | 2020 |
Continuum limits of pluri-Lagrangian systems M Vermeeren Journal of Integrable Systems 4 (1), xyy020, 2019 | 18 | 2019 |
Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs M Petrera, M Vermeeren European Journal of Mathematics 7, 741-765, 2021 | 15 | 2021 |
A variational perspective on continuum limits of ABS and lattice GD equations M Vermeeren SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 15, 044, 2019 | 12 | 2019 |
Hamiltonian structures for integrable hierarchies of Lagrangian PDEs M Vermeeren Open Communications in Nonlinear Mathematical Physics 1, 2021 | 9 | 2021 |
Continuum limits of variational systems M Vermeeren PQDT-Global, 2018 | 7 | 2018 |
Semi-discrete Lagrangian 2-forms and the Toda hierarchy D Sleigh, M Vermeeren Journal of Physics A: Mathematical and Theoretical 55 (47), 475204, 2022 | 6 | 2022 |
Superconvergence of Galerkin variational integrators S Ober-Blöbaum, M Vermeeren IFAC-PapersOnLine 54 (19), 327-333, 2021 | 6 | 2021 |
Lagrangian multiforms on Lie groups and non-commuting flows V Caudrelier, F Nijhoff, D Sleigh, M Vermeeren Journal of Geometry and Physics 187, 104807, 2023 | 5 | 2023 |
Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics LC García-Naranjo, M Vermeeren arXiv preprint arXiv:2008.07222, 2020 | 5 | 2020 |
Modified equations and the Basel problem M Vermeeren arXiv preprint arXiv:1506.05288, 2015 | 5 | 2015 |
Modified equations for variational integrators applied to Lagrangians linear in velocities M Vermeeren arXiv preprint arXiv:1709.09567, 2017 | 3 | 2017 |
Discrete Lagrangian multiforms for quad equations, tetrahedron equations, and octahedron equations JJ Richardson, M Vermeeren arXiv preprint arXiv:2403.16845, 2024 | 2 | 2024 |
Contact variational integrators: support code M Seri, M Vermeeren, A Bravetti | 2 | 2019 |
Numerical precession in variational discretizations of the Kepler problem M Vermeeren Discrete Mechanics, Geometric Integration and Lie–Butcher Series: DMGILBS …, 2018 | 2 | 2018 |
A variational structure for integrable hierarchies M Vermeeren | 1 | 2018 |
On the pluri-Lagrangian structure of the KdV hierarchy M Vermeeren M. Phil. thesis, Technische Universität Berlin, 2014 | 1 | 2014 |