RT Conference Proceedings
T1 Numerical Integration of Lattice Systems with a Lyapunov Function
A1 Hernández-Solano, Yadira
A1 Atencia-Ruiz, Miguel Alejandro
K1 Integración numérica
AB In this contribution we implement and assess numerical methods for gradient systems, i.e. dynamical systems that possess a Lyapunov function, and consequently are stable. In particular, we claim that discrete gradient methods are well suited to so-called lattice systems, i.e. systems of ordinary differential equations that can reach high dimensionality.For these systems, reproducing the stable qualitative behaviour is more important than achieving an overly accurate quantitative approximation. The presented results show that discrete gradient methods outperform conventional Runge-Kutta methods, since these latter algorithms destroy the stability of the original system.
YR 2014
FD 2014-06-24
LK http://hdl.handle.net/10630/7708
UL http://hdl.handle.net/10630/7708
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 22 ene 2026