KMS Of Academy of mathematics and systems sciences, CAS
| Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere | |
| Jiang, Shan1,2,3; Yu, Haijun1,2 | |
| 2021-11-01 | |
| Source Publication | JOURNAL OF SCIENTIFIC COMPUTING
 |
| ISSN | 0885-7474 |
| Volume | 89Issue:2Pages:24 |
| Abstract | 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. |
| Keyword | Quasi-equilibrium approximation Moment closure Bingham distribution Spectral methods Piecewise polynomial approximation |
| DOI | 10.1007/s10915-021-01646-1 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NNSFC Grant[11771439] ; NNSFC Grant[91852116] ; China Science Challenge Project[TZ2018001] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000705222000001 |
| Publisher | SPRINGER/PLENUM PUBLISHERS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59393 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yu, Haijun |
| Affiliation | 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 |
| Recommended Citation 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. |
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