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

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

PhD Thesis

Master’s Thesis