关于周期未知的时间周期解的时间迭代计算
Towards a Parallel-in-Time Calculation of Time-Periodic Solutions with Unknown Period
摘要：
本文提出了一种新的时间并行算法，能够计算问题的时间周期解的周期不给定。该方法利用多次打靶法的思想，迭代计算每个子区间的初值以及相应的周期。与Parareal方法一样，在时域中使用两级网格上的离散化来执行并行化。为了提高计算速度，在粗网格上对时间周期系统进行了特殊的线性化处理。通过对Colpitt振子模型的应用，验证了迭代算法的有效性.
英文摘要：
This paper presents a novel parallel-in-time algorithm able to compute time-periodic solutions of problems where the period is not given. Exploiting the idea of the multiple shooting method, the proposed approach calculates the initial values at each subinterval as well as the corresponding period iteratively. As in the Parareal method, parallelization in the time domain is performed using discretization on a two-level grid. A special linearization of the time-periodic system on the coarse grid is introduced to speed up the computations. The iterative algorithm is verified via its application to the Colpitt oscillator model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
