Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Research Publications

Publications for Mats Vermeeren

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Journal Articles

Caudrelier, V, Nijhoff, F, Sleigh, D, Vermeeren, M (2023) Lagrangian multiforms on Lie groups and non-commuting flows, Journal of Geometry and Physics, 187, ISSN: 0393-0440. DOI: 10.1016/j.geomphys.2023.104807.

Sleigh, D and Vermeeren, M (2022) Semi-discrete Lagrangian 2-forms and the Toda hierarchy, Journal of Physics A: Mathematical and Theoretical, 55(47), ISSN: 1751-8113. DOI: 10.1088/1751-8121/aca451.

Ober-Blöbaum, S and Vermeeren, M (2021) Superconvergence of Galerkin variational integrators, IFAC-PapersOnLine, 54(19), pp.327-333, ISSN: 2405-8971. DOI: 10.1016/j.ifacol.2021.11.098.

Vermeeren, M (2021) Hamiltonian structures for integrable hierarchies of Lagrangian PDEs, Open Communications in Nonlinear Mathematical Physics, 1, pp.94-127, DOI: 10.46298/ocnmp.7491.

García-Naranjo, LC and Vermeeren, M (2021) Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics, Journal of Computational Dynamics, 8(3), pp.241-271, ISSN: 2158-2491. DOI: 10.3934/jcd.2021011.

Petrera, M and Vermeeren, M (2020) Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs, European Journal of Mathematics, 7(2), pp.741-765, ISSN: 2199-675X. DOI: 10.1007/s40879-020-00436-7.

Bravetti, A, Seri, M, Vermeeren, M, Zadra, F (2020) Numerical integration in Celestial Mechanics: a case for contact geometry, Celestial Mechanics and Dynamical Astronomy, 132(1), 7, ISSN: 0923-2958. DOI: 10.1007/s10569-019-9946-9.

Vermeeren, M, Bravetti, A, Seri, M (2019) Contact variational integrators, Journal of Physics A: Mathematical and Theoretical, 52(44), pp.445206-445206, ISSN: 1751-8113. DOI: 10.1088/1751-8121/ab4767.

Vermeeren, M (2019) A Variational Perspective on Continuum Limits of ABS and Lattice GD Equations, Symmetry, Integrability and Geometry: Methods and Applications, DOI: 10.3842/sigma.2019.044.

Vermeeren, M (2019) Continuum limits of pluri-Lagrangian systems, Journal of Integrable Systems, 4(1), DOI: 10.1093/integr/xyy020.

Vermeeren, M (2019) Modified equations for variational integrators applied to Lagrangians linear in velocities, Journal of Geometric Mechanics, 11(1), pp.1-22, ISSN: 1941-4897. DOI: 10.3934/jgm.2019001.

Vermeeren, M (2018) Modified Equations and the Basel Problem, The Mathematical Intelligencer, 40(2), pp.33-37, ISSN: 0343-6993. DOI: 10.1007/s00283-017-9767-1.

Vermeeren, M (2017) Modified equations for variational integrators, Numerische Mathematik, 137(4), pp.1001-1037, ISSN: 0029-599X. DOI: 10.1007/s00211-017-0896-4.


Vermeeren, M (2018) Numerical Precession in Variational Discretizations of the Kepler Problem. In Discrete Mechanics, Geometric Integration and Lie–Butcher Series, Springer International Publishing, pp.333-348, ISBN: 9783030013967. DOI: 10.1007/978-3-030-01397-4_10.

Suris, YB and Vermeeren, M (2016) On the Lagrangian Structure of Integrable Hierarchies. In Advances in Discrete Differential Geometry, Springer Berlin Heidelberg, pp.347-378, ISBN: 9783662504468. DOI: 10.1007/978-3-662-50447-5_11.

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