论文标题
厄尔贡，混沌ode系统离散的输出误差行为
Output error behavior for discretizations of ergodic, chaotic ODE systems
论文作者
论文摘要
使用数值模拟预测混乱动力学系统特征的预测固有地涉及不可预测的过程。在这项工作中，我们开发了一个模型，以模拟厄尔及性，混乱的ODE系统的预期误差，该模型允许由于不可预测性而产生离散化和统计效应。然后，我们生成一个框架，以了解模拟的采样成本与结果中的预期误差之间的关系，并探索模拟各种参数的含义。最后，我们将框架概括为模拟的总成本（包括未卸下的旋转时间段），并考虑并行计算环境的含义，从而为墙壁电路时间与预期误差之间的关系模型提供了一个现实的模型。
The use of numerical simulation for prediction of characteristics of chaotic dynamical systems inherently involves unpredictable processes. In this work, we develop a model for the expected error in the simulation of ergodic, chaotic ODE systems, which allows for discretization and statistical effects due to unpredictability. Using this model, we then generate a framework for understanding the relationship between the sampling cost of a simulation and the expected error in the result, and explore the implications of the various parameters of simulations. Finally, we generalize the framework to consider the total cost -- including unsampled spin-up timesteps -- of simulations and consider the implications of parallel computational environments, to give a realistic model of the relationship between wall-clock time and the expected error in simulation of a chaotic ODE system.
