This paper is concerned with the numerical solution of delay dynamical systems. We focus on dissipativity of numerical methods. It is proved that a linear θ-method is dissipative for finite-dimensional delay dynamica...This paper is concerned with the numerical solution of delay dynamical systems. We focus on dissipativity of numerical methods. It is proved that a linear θ-method is dissipative for finite-dimensional delay dynamical systems if and only if 1/2 ≤θ ≤1.展开更多
文摘This paper is concerned with the numerical solution of delay dynamical systems. We focus on dissipativity of numerical methods. It is proved that a linear θ-method is dissipative for finite-dimensional delay dynamical systems if and only if 1/2 ≤θ ≤1.