Effective computational discretization scheme for nonlinear dynamical systems
作者：
Highlights：
• A computational effective discretization scheme for nonlinear dynamical systems is developed in the context of simulations in a digital computer.
• It is shown that high-order terms in the fourth order Runge-Kutta method can be neglected with no accuracy loss.
• The number of mathematical operations and simulation time have been reduced up to 81.1% and 90.7%, respectively.
• Observability of dynamical systems and the largest Lyapunov exponent are preserved under the new schemes.
• A novel algorithm for reducing the carbon footprint of computer simulation.
摘要
•A computational effective discretization scheme for nonlinear dynamical systems is developed in the context of simulations in a digital computer.•It is shown that high-order terms in the fourth order Runge-Kutta method can be neglected with no accuracy loss.•The number of mathematical operations and simulation time have been reduced up to 81.1% and 90.7%, respectively.•Observability of dynamical systems and the largest Lyapunov exponent are preserved under the new schemes.•A novel algorithm for reducing the carbon footprint of computer simulation.
论文关键词：Chaos,Nonlinear dynamics,Computer simulation,Computer arithmetic,Observability,Green algorithms
论文评审过程：Received 1 December 2021, Revised 20 April 2022, Accepted 24 April 2022, Available online 5 May 2022, Version of Record 5 May 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127207
