Publications

Preprints

  • Luis C. García-Naranjo, MV. Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics
    arXiv:2008.07222
  • MV. Hamiltonian structures for integrable hierarchies of Lagrangian PDEs
    arXiv:2003.05399

Published

  1. Matteo Petrera, MV. Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs
    European Journal of Mathematics (2020)
    doi 10.1007/s40879-020-00436-7 arXiv
  2. 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
  3. MV, Alessandro Bravetti, Marcello Seri. Contact variational integrators
    Journal of Physics A: Mathematical and Theoretical. 10 October 2019.
    doi 10.1088/1751-8121/ab4767 arXiv
  4. MV. A variational perspective on continuum limits of ABS and lattice GD equations
    SIGMA 15 (2019), 044, 35 pages
    doi 10.3842/SIGMA.2019.044 arXiv
  5. MV. Continuum limits of pluri-Lagrangian systems
    Journal of Integrable Systems, Volume 4, Issue 1, 1 January 2019, xyy020
    doi 10.1093/integr/xyy020 arXiv
  6. MV. Modified equations for variational integrators applied to Lagrangians linear in velocities
    Journal of Geometric Mechanics, 2019, 11 (1) : 1-22.
    doi 10.3934/jgm.2019001 arXiv
  7. 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
  8. MV. Modified equations and the Basel problem
    The Mathematical Intelligencer 40(2):33–37, 2018.
    doi 10.1007/s00283-017-9767-1 arXiv
  9. MV. Modified equations for variational integrators
    Numerische Mathematik 137:1001, 2017.
    doi 10.1007/s00211-017-0896-4 arXiv
  10. 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

PhD Thesis

Master’s Thesis