2 papers
math.NA2022
Explicit Exactly Energy-conserving Methods for Hamiltonian Systems
Stefan Bilbao, Michele Ducceschi, Fabiana Zama
For Hamiltonian systems, simulation algorithms that exactly conserve numerical energy or pseudo-energy have seen extensive investigation. Most available methods either require the…
math.NA2021
Simulation of the Geometrically Exact Nonlinear String via Energy Quadratisation
Michele Ducceschi, Stefan Bilbao
String vibration represents an active field of research in acoustics. Small-amplitude vibration is often assumed, leading to simplified physical models that can be simulated effici…