51 citations · 130 across the 9 of their papers we have counts for
9 papers
Neural networks for the approximation of Euler's elastica
Elena Celledoni, Ergys Çokaj, Andrea Leone +5
Euler's elastica is a classical model of flexible slender structures, relevant in many industrial applications. Static equilibrium equations can be derived via a variational princi…
A new Lagrangian approach to control affine systems with a quadratic Lagrange term
Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blobaum +2
In this work, we consider optimal control problems for mechanical systems on vector spaces with fixed initial and free final state and a quadratic Lagrange term. Specifically, the…
A new perspective on symplectic integration of constrained mechanical systems via discretization maps
María Barbero Liñán, David Martín de Diego, Rodrigo T. Sato Martín de Almagro
A new geometric procedure to construct symplectic methods for constrained mechanical systems is developed in this paper. The definition of a map coming from the notion of retractio…
A parallel iterative method for variational integration
Sebastián J. Ferraro, David Martín de Diego, Rodrigo Takuro Sato Martín de Almagro
Discrete variational methods show excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative procedure for the solutio…
Optimal Trajectory Tracking of Nonholonomic Mechanical Systems: a geometric approach
Aradhana Nayak, Rodrigo Sato Martín de Almagro, Leonardo Colombo +1
We study the tracking of a trajectory for a nonholonomic system by recasting the problem as an optimal control problem. The cost function is chosen to minimize the error in positio…
High-order geometric methods for nonholonomic mechanical systems
David Martín de Diego, Rodrigo T. Sato Martín de Almagro
In the last two decades, significant effort has been put in understanding and designing so-called structure-preserving numerical methods for the simulation of mechanical systems. G…
Convergence of Lobatto-type Runge-Kutta methods for partitioned differential-algebraic systems of index 2
Rodrigo Takuro Sato Martín de Almagro
In this paper we propose a numerical scheme for partitioned systems of index 2 DAEs, such as those arising from nonholonomic mechanical problems and prove the order of a certain cl…
The missing light of the Hubble Ultra Deep Field
Alejandro Borlaff, Ignacio Trujillo, Javier Román +11
The Hubble Ultra Deep field (HUDF) is the deepest region ever observed with the Hubble Space Telescope. With the main objective of unveiling the nature of galaxies up to $z \sim 7-…
Variational order for forced Lagrangian systems
D. Martín de Diego, R. Sato Martín de Almagro
We are able to derive the equations of motion for forced mechanical systems in a purely variational setting, both in the context of Lagrangian or Hamiltonian mechanics, by duplicat…