3 papers
math.NA2024
Neural networks for the approximation of Euler's elastica
Elena Celledoni, Ergys Ãokaj, 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…
cs.LG2024
Supervised Time Series Classification for Anomaly Detection in Subsea Engineering
Ergys Ãokaj, Halvor Snersrud Gustad, Andrea Leone +2
Time series classification is of significant importance in monitoring structural systems. In this work, we investigate the use of supervised machine learning classification algorit…
math.NA2024
B-stability of numerical integrators on Riemannian manifolds
Martin Arnold, Elena Celledoni, Ergys Ãokaj +2
We propose a generalization of nonlinear stability of numerical one-step integrators to Riemannian manifolds in the spirit of Butcher's notion of B-stability. Taking inspiration fr…