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
基金Supported by the National Natural Science Foundation of China (11201084,61803095)Natural Science Foundation of Guangdong Province (2017A030313031,18ZK0174)。
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.