73 citations · 670 across the 56 of their papers we have counts for
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math.DG2016★ 9 cited
On the exact discrete Lagrangian function for variational integrators: theory and applications
J. C. Marrero, D. Martín de Diego, E. Martínez
In this paper, we will give a rigorous construction of the exact discrete Lagrangian formulation associated to a continuous Lagrangian problem. Moreover, we work in the setting of…
math-ph2016★ 10 cited
On the Geometry of the Hamilton-Jacobi Equation and Generating Functions
Sebastián Ferraro, Manuel de León, Juan Carlos Marrero +2
In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting. Specifically, we "geometrize" what is usually called a complete solution of the…