Numerical methods that preserve a lyapunov function for ordinary differential equations

HIGHLIGHTS

  • who: Yadira Hernu00e1ndez-Solano and Miguel Atencia from the Departamento de Matemu00e1tica Aplicada, Universidad de Mu00e1laga, Mu00e1laga, Spain have published the research: Numerical Methods That Preserve a Lyapunov Function for Ordinary Differential Equations, in the Journal: Mathematics 2023, 11, 71. of /2023/
  • what: The aim of this paper is the study of numerical methods that preserve a Lyapunov function of a gradient dynamical system. In this regard, the main objective is to consider the qualitative characteristics of the trajectories of the dynamical system, for example, energy decreasing, stability, and conservation of the Hamiltonian, among others . . .

     

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