Publications

• Jacob J. Richardson, MV. Discrete Lagrangian multiforms for quad equations, tetrahedron equations, and octahedron equations
  arXiv:2403.16845

Published works

1. Vincent Caudrelier, Frank Nijhoff, Duncan Sleigh, MV. Lagrangian multiforms on Lie groups and non-commuting flows
   Journal of Geometry and Physics 187: 104807 (2023)
   doi 10.1016/j.geomphys.2023.104807 arXiv
2. Duncan Sleigh, MV. Semi-discrete Lagrangian 2-forms and the Toda hierarchy
   Journal of Physics A: Mathematical and Theoretical 55:475204 (2022)
   doi 10.1088/1751-8121/aca451 arXiv
3. Sina Ober-Blöbaum, MV. Superconvergence of Galerkin variational integrators
   IFAC-PapersOnLine 54(19): 327-333 (2021)
   doi 10.1016/j.ifacol.2021.11.098 arXiv
4. MV. Hamiltonian structures for integrable hierarchies of Lagrangian PDEs
   Open Communications in Nonlinear Mathematical Physics 1: ocnmp:7491 (2021)
   doi 10.46298/ocnmp.7491 arXiv
5. Luis C. García-Naranjo, MV. Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics
   Journal of Computational Dynamics 8(3): 241-271 (2021)
   doi 10.3934/jcd.2021011 arXiv
6. Matteo Petrera, MV. Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs
   European Journal of Mathematics 7 : 741–765 (2021)
   doi 10.1007/s40879-020-00436-7 arXiv
7. Alessandro Bravetti, Marcello Seri, MV, Federico Zadra. Numerical integration in celestial mechanics: a case for contact geometry
   Celest Mech Dyn Astr 132, 7 (2020)
   doi 10.1007/s10569-019-9946-9 arXiv
8. MV, Alessandro Bravetti, Marcello Seri. Contact variational integrators
   Journal of Physics A: Mathematical and Theoretical 52 445206 (2019)
   doi 10.1088/1751-8121/ab4767 arXiv
9. MV. A variational perspective on continuum limits of ABS and lattice GD equations
   SIGMA 15 (2019), 044
   doi 10.3842/SIGMA.2019.044 arXiv
10. MV. Continuum limits of pluri-Lagrangian systems
    Journal of Integrable Systems 4 (1) xyy020 (2019)
    doi 10.1093/integr/xyy020 arXiv
11. MV. Modified equations for variational integrators applied to Lagrangians linear in velocities
    Journal of Geometric Mechanics 11 (1) : 1-22 (2019)
    doi 10.3934/jgm.2019001 arXiv
12. MV. Numerical precession in variational discretizations of the Kepler problem
    In: Ebrahimi-Fard K., Barbero Liñán M. (eds) Discrete Mechanics, Geometric Integration and Lie–Butcher Series, Springer (2018)
    doi 10.1007/978-3-030-01397-4_10 arXiv
13. MV. Modified equations and the Basel problem
    The Mathematical Intelligencer 40(2):33–37 (2018)
    doi 10.1007/s00283-017-9767-1 arXiv
14. MV. Modified equations for variational integrators
    Numerische Mathematik 137:1001 (2017)
    doi 10.1007/s00211-017-0896-4 arXiv
15. Yuri B. Suris, MV. On the Lagrangian structure of integrable hierarchies
    In: Bobenko A. (ed) Advances in Discrete Differential Geometry, Springer (2016)
    doi 10.1007/978-3-662-50447-5_11 arXiv