论文标题
Pitsbicg：及时平行的稳定的双结合梯度算法
PiTSBiCG: Parallel in Time Stable Bi-Conjugate Gradient Algorithm
论文作者
论文摘要
本文提出了一种新算法，用于对时间（pit）时间相关的部分/普通微分方程的数值模拟。我们通过在时间算法中提出了一个可靠的替代方案，该替代方案是通过对时间问题代数制定并使用改编的双偶联物梯度稳定方法来解决它的。拟议的时代平行稳定的双结合算法（Pitsbicg）具有巨大的潜力，可以稳定各种问题的平行分辨率。在这项工作中，我们描述了新算法的数学方法，并提供了数值证据，这些证据表明了它优于标准的麻痹方法。
This paper presents a new algorithm for the parallel in time (PiT) numerical simulation of time dependent partial/ordinary differential equations. We propose a reliable alternative to the well know parareal in time algorithm, by formulating the parallel in time problem algebraically and solve it using an adapted Bi-Conjugate gradient stabilized method. The proposed Parallel in time Stable Bi-Conjugate algorithm (PiTSBiCG) has a great potential in stabilizing the parallel resolution for a variety of problems. In this work, we describe the mathematical approach to the new algorithm and provide numerical evidences that show its superiority to the standard parareal method.
