Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere
文献类型：期刊论文
| 作者 | Jiang, Shan1,2,3; Yu, Haijun1,2 |
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2021-11-01 |
| 卷号 | 89期号:2页码:24 |
| 关键词 | Quasi-equilibrium approximation Moment closure Bingham distribution Spectral methods Piecewise polynomial approximation |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-021-01646-1 |
| 英文摘要 | 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. |
| 资助项目 | NNSFC Grant[11771439] ; NNSFC Grant[91852116] ; China Science Challenge Project[TZ2018001] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000705222000001 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59392]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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