From the 3 of 4 linked papers with an AI index.
4 papers
A Unified Discrete Gradient-SAV Framework for Structure-Preserving Integration
Elena Celledoni, David MartÃn de Diego, Brynjulf Owren +1
The paper introduces a unified framework that combines discrete gradient methods with the Scalar Auxiliary Variable (SAV) approach to create structure‑preserving integrators for bo…
Discrete-time generalized canonical transformations for non-autonomous systems
Leonardo Colombo, David Martin de Diego, Riccardo Muradore +2
The paper introduces a geometric discretization method for time‑dependent Hamiltonian systems that uses generalized canonical transformations to create structure‑preserving integra…
Learning Forced Multibody Dynamics on Lie Groups
Martine Dyring Hansen, Marta Ghirardelli, Elena Celledoni +2
The paper presents a learning architecture that models mechanical system dynamics using discrete forced Euler-Lagrange equations on Lie groups, requiring only position measurements…
A new perspective on symplectic integration of constrained mechanical systems via discretization maps
MarÃa Barbero Liñán, David MartÃn de Diego, Rodrigo T. Sato MartÃn 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…