4 citations · 5 across the 7 of their papers we have counts for
3 papers · 1 filter
Jacobi equation for field theories and a geometric variational description of dissipation
David Martin de Diego, Najma Mosadegh
In this paper we give a geometric description of the Jacobi equations associated to a first-order Lagrangian field theory using a prolongation of the Lagrangian on a -cosymp…
Numerical Integrators for Mechanical Systems on Lie Groups
Viyom Vivek, David Martin de Diego, Ravi N Banavar
Retraction maps are known to be the seed for all numerical integrators. These retraction maps-based integrators can be further lifted to tangent and cotangent bundles, giving rise…
Retraction maps: A seed of geometric integrators. Part II: Symmetry and reduction
María Barbero Liñán, Juan Carlos Marrero, David Martín de Diego
In this paper we use retraction and discretization maps (see [Barbero Liñán and Martín de Diego, 2022]) as a tool for deriving in a systematic way numerical integrators preserving…