Blar i NTNU Open på forfatter "Leone, Andrea"
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Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators
Celledoni, Elena; Cokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf Rustad (Peer reviewed; Journal article, 2022)Since their introduction, Lie group integrators have become a method of choice in many application areas. Various formulations of these integrators exist, and in this work we focus on Runge-Kutta-Munthe-Kaas methods. First, ... -
Learning Hamiltonians of constrained mechanical systems
Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf (Peer reviewed; Journal article, 2022)Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in classical mechanics, where the dynamics is ... -
Lie Group integrators for mechanical systems
Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf (Peer reviewed; Journal article, 2021)Since they were introduced in the 1990s, Lie group integrators have become a method of choice in many application areas. These include multibody dynamics, shape analysis, data science, image registration and biophysical ...