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Exact Splitting Methods for Kinetic and Schrodinger Equations

文献类型：期刊论文

作者Bernier, Joackim1,2,3; Crouseilles, Nicolas4; Li, Yingzhe5,6,7
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期2021-01-02
卷号86期号:1页码:35
关键词Exact splitting Transport equations Kinetic equations Schrodinger equations
ISSN号0885-7474
DOI10.1007/s10915-020-01369-9
英文摘要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.
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
语种英语
WOS记录号WOS:000606447900002
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57964]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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