Exact Splitting Methods for Kinetic and Schrodinger Equations

doi:10.1007/s10915-020-01369-9

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	Exact Splitting Methods for Kinetic and Schrodinger Equations
	Bernier, Joackim 1,2,3; Crouseilles, Nicolas 4; Li, Yingzhe 5,6,7
	2021-01-02
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	86 期号:1 页码:35
摘要	In (Bernier in Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators. arXiv:1912.13219, (2019)), some exact splittings are proposed for inhomogeneous quadratic differential equations including, for example, transport equations, Fokker-Planck equations, and Schrodinger type equations with an angular momentum rotation term. In this work, these exact splittings are used combined with pseudo-spectral methods in space. High accuracy and efficiency of exact splitting methods are illustrated and comparison are performed with the numerical methods in literature. We show that our methods can be used to improve significantly some classical splitting methods for some nonlinear or non-quadratic equations.
关键词	Exact splitting Transport equations Kinetic equations Schrodinger equations
DOI	10.1007/s10915-020-01369-9
收录类别	SCI
语种	英语
资助项目	French National Research Agency project NABUCO[ANR-17-CE40-0025] ; Academy of Mathematics and Systems Science, Chinese Academy of Sciences ; EUROfusion Consortium ; Euratom research and training programme 2019-2020[633053]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000606447900002
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57965
专题	中国科学院数学与系统科学研究院
通讯作者	Bernier, Joackim
作者单位	1.Inst Math Toulouse, Toulouse, France 2.Univ Toulouse, UMR5219, Toulouse, France 3.Univ Paul Sabatier, CNRS, F-31062 Toulouse 9, France 4.Univ Rennes, MINGuS Team, INRIA, IRMAR,UMR 6625, F-35042 Rennes, France 5.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 6.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 7.INRIA, MINGuS Team, Rennes, France
推荐引用方式 GB/T 7714	Bernier, Joackim,Crouseilles, Nicolas,Li, Yingzhe. Exact Splitting Methods for Kinetic and Schrodinger Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2021,86(1):35.
APA	Bernier, Joackim,Crouseilles, Nicolas,&Li, Yingzhe.(2021).Exact Splitting Methods for Kinetic and Schrodinger Equations.JOURNAL OF SCIENTIFIC COMPUTING,86(1),35.
MLA	Bernier, Joackim,et al."Exact Splitting Methods for Kinetic and Schrodinger Equations".JOURNAL OF SCIENTIFIC COMPUTING 86.1(2021):35.