10 citations · 15 across the 8 of their papers we have counts for
11 papers
Discrete variational calculus for double-bracket dissipation
Anthony Bloch, Sebastián J. Ferraro, David Martín de Diego +1
Discrete variational methods show excellent performance in numerical simulations of mechanical systems. In this paper, we adapt discrete variational integrators for the case of mec…
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…
Nonholonomic Newmark method
Alexandre Anahory Simões, Sebastián J. Ferraro, Juan Carlos Marrero +1
Using the nonholonomic exponential map, we generalize the well-known family of Newmark methods for nonholonomic systems. We give numerical examples including a test problem where t…
Parallel iterative methods for variational integration applied to navigation problems
Sebastián J. Ferraro, David Martín de Diego, Rodrigo T. Sato Martín de Almagro
Discrete variational methods have shown an excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative method for discr…
The inverse problem of the calculus of variations for discrete systems
María Barbero-Liñán, Marta Farré Puiggalí, Sebastián Ferraro +1
We develop a geometric version of the inverse problem of the calculus of variations for discrete mechanics and constrained discrete mechanics. The geometric approach consists of us…
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…
Geometric integrators for higher-order variational systems and their application to optimal control
Leonardo Colombo, Sebastián Ferraro, David Martín de Diego
Numerical methods that preserve geometric invariants of the system, such as energy, momentum or the symplectic form, are called geometric integrators. In this paper we present a me…
New developments on the Geometric Nonholonomic Integrator
Sebastián Ferraro, Fernando Jiménez, David Martín de Diego
In this paper, we will discuss new developments regarding the Geometric Nonholonomic Integrator (GNI) [23, 24]. GNI is a discretization scheme adapted to nonholonomic mechanical sy…
An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems
Hernán Cendra, María Etchechoury, Sebastián J. Ferraro
This paper extends the Gotay-Nester and the Dirac theories of constrained systems in order to deal with Dirac dynamical systems in the integrable case. Integrable Dirac dynamical s…
An extension of the Dirac and Gotay-Nester theories of constraints for Dirac dynamical systems
Hernán Cendra, María Etchechoury, Sebastián J. Ferraro
This paper extends the Gotay-Nester and the Dirac theories of constrained systems in order to deal with Dirac dynamical systems in the integrable case. Integrable Dirac dynamical s…
Simulating Nonholonomic Dynamics
M. Kobilarov, D. Martín de Diego, S. Ferraro
This paper develops different discretization schemes for nonholonomic mechanical systems through a discrete geometric approach. The proposed methods are designed to account for the…