PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method | |
Xu YJ(徐永君) | |
发表期刊 | ACTA MECHANICA SOLIDA SINICA |
2020-06 | |
卷号 | 33期号:3页码:381-391 |
ISSN | 0894-9166 |
摘要 | The aim of this paper is to introduce a new semi-analytical method, namely PIMOL (precise integration method of lines, the parametric finite difference method of lines based on the precise integration method), which is developed and used to solve the ordinary differential equation (ODEs) systems based on the finite difference method of lines and the precise integration method (PIM). Two examples of Poisson's equation problems are given: a boundary value problem and an ODE eigenvalue problem. The PIMOL can effectively reduce a semi-discrete ODE problem to a linear algebraic matrix equation. Numerical results show that the PIMOL is a powerful method. |
关键词 | PIMOL ODE FDMOL PIM Poisson's equation Semi-analytical Semi-discrete |
DOI | 10.1007/s10338-019-00151-1 |
收录类别 | SCI ; EI ; CSCD |
语种 | 英语 |
WOS记录号 | WOS:000493488500001 |
关键词[WOS] | COMPLETE EIGEN-SOLUTIONS ; MULTI-MATERIALS ; NOTCHES ; STRESS |
WOS研究方向 | Materials Science ; Mechanics |
WOS类目 | Materials Science, Multidisciplinary ; Mechanics |
论文分区 | Q3 |
力学所作者排名 | 1 |
RpAuthor | Xu, Yongjun |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/81407 |
专题 | 流固耦合系统力学重点实验室 |
作者单位 | Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Xu YJ. PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method[J]. ACTA MECHANICA SOLIDA SINICA,2020,33,3,:381-391. |
APA | Xu YJ.(2020).PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method.ACTA MECHANICA SOLIDA SINICA,33(3),381-391. |
MLA | Xu YJ."PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method".ACTA MECHANICA SOLIDA SINICA 33.3(2020):381-391. |
条目包含的文件 | 下载所有文件 | |||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
Jp2019504.pdf(422KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
Lanfanshu学术 |
Lanfanshu学术中相似的文章 |
[Xu YJ(徐永君)]的文章 |
百度学术 |
百度学术中相似的文章 |
[Xu YJ(徐永君)]的文章 |
必应学术 |
必应学术中相似的文章 |
[Xu YJ(徐永君)]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论