51 citations · 130 across the 9 of their papers we have counts for
4 papers · 1 filter
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 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…
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…