PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method
文献类型：期刊论文
| 作者 | Xu YJ(徐永君); Xu YJ(徐永君)
|
| 刊名 | ACTA MECHANICA SOLIDA SINICA
 |
| 出版日期 | 2019-10-30 |
| 页码 | 11 |
| 关键词 | PIMOL ODE FDMOL PIM Poisson's equation Semi-analytical Semi-discrete |
| ISSN号 | 0894-9166 |
| DOI | 10.1007/s10338-019-00151-1 |
| 通讯作者 | Xu, Yongjun(yjxu@imech.ac.cn) |
| 英文摘要 | 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. |
| 分类号 | Q3 |
| WOS关键词 | COMPLETE EIGEN-SOLUTIONS ; MULTI-MATERIALS ; NOTCHES ; STRESS |
| WOS研究方向 | Materials Science ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000493488500001 |
| 其他责任者 | Xu, Yongjun |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/81406]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 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,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,2019:11. |
| APA | 徐永君,&Xu YJ.(2019).PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method.ACTA MECHANICA SOLIDA SINICA,11. |
| MLA | 徐永君,et al."PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method".ACTA MECHANICA SOLIDA SINICA (2019):11. |
入库方式： OAI收割
来源：力学研究所
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