The speed-up is defined as the ratio (16)≔speed − upAP∕seq(η,[0,T])≔costseq(η,[0,T])costAP(η,[0,T])between the cost to run a sequential fine solver achieving a target accuracy η with the cost to run a
adaptive algorithmThe aim of this article is to design parareal algorithms in the context of thermostated molecular dynamics. In its original setup, the fine and coarse propagators used in the parareal algorithm solve the same dynamics with different time-steps, with the goal of achieving ...
since energy consumption of application codes on the available hardware is of growing awareness and a key for future improvements, we study the energy consumption and parallel scaling properties of our algorithm and its implementation by three-dimensional ...
Gyu-Byung Parkreceived a B.S. degree in Mechanical Engineering from Hanyang University, South Korea, in 2006. He then received a Ph.D. degree in Mechanical Engineering from Hanyang University, South Korea, in 2016. He is now a Senior Research Engineer in PIDOTECH Inc. since 2016. His res...
We then present a modified version of the parareal algorithm wherein the algorithm adaptively divides the entire time horizon into smaller time-slabs where the aforementioned issues are circumvented. Using numerical experiments on toy examples, we show that the adaptive algorithm overcomes the various...
In this paper, we introduce a practical strategy to select an adaptive time step size suitable for the parareal algorithm designed to parallelize a numerical scheme for solving stiff initial value problems. For the adaptive time step size, a technique to detect stiffness of a given system is ...
This paper describes a distributed Parareal in time algorithm with the adaptive coarse solver. In the distributed algorithm, the propagation of a coarse solution is distributed among processors in addition to the fine solution propagation. In the adaptive coarse solver the complexity of the model is...
However, due to inaccurate initial values at the beginnings of the subintervals, Parareal may require several iterations until the required accuracy is achieved and be slower than a serial algorithm. In this paper we analyze the performance of the Parareal algorithm based on adaptive step solvers....