Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere

doi:10.1007/s10915-021-01646-1

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	Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere
	Jiang, Shan 1,2,3; Yu, Haijun 1,2
	2021-11-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	89 期号:2 页码:24
摘要	Quasi-equilibrium approximation is a widely used closure approximation approach for model reduction with applications in complex fluids, materials science, etc. It is based on the maximum entropy principle and leads to thermodynamically consistent coarse-grain models. However, its high computational cost is a known barrier for fast and accurate applications. Despite its good mathematical properties, there are very few works on the fast and efficient implementations of quasi-equilibrium approximations. In this paper, we give efficient implementations of quasi-equilibrium approximations for antipodally symmetric problems on unit circle and unit sphere using global polynomial and piecewise polynomial approximations. Comparing to the existing methods using linear or cubic interpolations, our approach achieves high accuracy (double precision) with much less storage cost. The methods proposed in this paper can be directly extended to handle other moment closure approximation problems.
关键词	Quasi-equilibrium approximation Moment closure Bingham distribution Spectral methods Piecewise polynomial approximation
DOI	10.1007/s10915-021-01646-1
收录类别	SCI
语种	英语
资助项目	NNSFC Grant[11771439] ; NNSFC Grant[91852116] ; China Science Challenge Project[TZ2018001]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000705222000001
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/59393
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, Haijun
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS & LSEC, Beijing 100190, Peoples R China 3.Wuxi EsionTech Co Ltd, Bldg B1,777 Jianzhu West Rd, Wuxi 214063, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Shan,Yu, Haijun. Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere[J]. JOURNAL OF SCIENTIFIC COMPUTING,2021,89(2):24.
APA	Jiang, Shan,&Yu, Haijun.(2021).Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere.JOURNAL OF SCIENTIFIC COMPUTING,89(2),24.
MLA	Jiang, Shan,et al."Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere".JOURNAL OF SCIENTIFIC COMPUTING 89.2(2021):24.