Parareal algorithms with local time-integrators for time-fractional differential equations

doi:10.1016/j.jcp.2017.12.029

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Parareal algorithms with local time-integrators for time-fractional differential equations
	Wu, Shu-Lin 1; Zhou, Tao2
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2018-04-01
卷号	358 页码:135-149
关键词	Parareal Time-fractional differential equations Local time-integrators
ISSN号	0021-9991
DOI	10.1016/j.jcp.2017.12.029
英文摘要	It is challenge work to design parareal algorithms for time-fractional differential equations due to the historical effect of the fractional operator. A direct extension of the classical parareal methodto such equations will lead to unbalance computational time in each process. In this work, we present an efficient parareal iteration scheme to overcome this issue, by adopting two recently developed local time-integrators for time fractional operators. In both approaches, one introduces auxiliary variables to localized the fractional operator. To this end, we propose a new strategy to perform the coarse grid correction so that the auxiliary variables and the solution variable are corrected separately in a mixed pattern. It is shown that the proposed parareal algorithm admits robust rate of convergence. Numerical examples are presented to support our conclusions. (C) 2017 Elsevier Inc. All rights reserved.
资助项目	NSFC[11301362] ; NSFC[61573010] ; NSFC[11688101] ; NSFC[91630312] ; NSFC[91630203] ; NSFC[11571351] ; NSFC[11731006] ; NSF of Technology & Education of Sichuan Province[2014JQ0035] ; NSF of Technology & Education of Sichuan Province[15ZA0220] ; NSF of SUSE[2015LX01] ; science challenge project[TZ2016001] ; NCMIS ; youth innovation promotion association (CAS) ; [2015M580777] ; [2016T90841]
WOS研究方向	Computer Science ; Physics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000427395300008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29839]
专题	计算数学与科学工程计算研究所
通讯作者	Zhou, Tao
作者单位	1.Sichuan Univ Sci & Engn, Sch Sci, Zigong, Sichuan, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Wu, Shu-Lin,Zhou, Tao. Parareal algorithms with local time-integrators for time-fractional differential equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2018,358:135-149.
APA	Wu, Shu-Lin,&Zhou, Tao.(2018).Parareal algorithms with local time-integrators for time-fractional differential equations.JOURNAL OF COMPUTATIONAL PHYSICS,358,135-149.
MLA	Wu, Shu-Lin,et al."Parareal algorithms with local time-integrators for time-fractional differential equations".JOURNAL OF COMPUTATIONAL PHYSICS 358(2018):135-149.