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Listar por autor "Hernández-Solano, Yadira"
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Geometric integration methods of high order for gradient systems
Hernández-Solano, Yadira; Atencia-Ruiz, Miguel Alejandro
(2014-07-18)
We propose the higher order extension of numerical methods that preserve the energy-diminishing feature of a system with Lyapunov function. -
Numerical Integration of Lattice Systems with a Lyapunov Function
Hernández-Solano, Yadira; Atencia-Ruiz, Miguel Alejandro
(2014-06-24)
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 ... -
Numerical Methods That Preserve a Lyapunov Function for Ordinary Differential Equations
Hernández-Solano, Yadira; Atencia-Ruiz, Miguel Alejandro
(IOAP-MDPI, 2022-12-25)
The paper studies numerical methods that preserve a Lyapunov function of a dynamical system, i.e., numerical approximations whose energy decreases, just like in the original differential equation. With this aim, a discrete ...