secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients
文献类型：期刊论文
| 作者 | Dong Hao2; Nie Yufeng2; Cui Junzhi1 ; Wu Yatao2
|
| 刊名 | chinesephysicsb
 |
| 出版日期 | 2015 |
| 卷号 | 24期号:9 |
| ISSN号 | 1674-1056 |
| 英文摘要 | We study the hyperbolic-parabolic equations with rapidly oscillating coefficients. The formal second-order two-scale asymptotic expansion solutions are constructed by the multiscale asymptotic analysis. In addition, we theoretically explain the importance of the second-order two-scale solution by the error analysis in the pointwise sense. The associated explicit convergence rates are also obtained. Then a second-order two-scale numerical method based on the Newmark scheme is presented to solve the equations. Finally, some numerical examples are used to verify the effectiveness and efficiency of the multiscale numerical algorithm we proposed. |
| 资助项目 | [National Natural Science Foundation of China] ; [National Basic Research Program of China] ; [State Key Laboratory of Science and Engineering Computing] ; [Center for High Performance Computing of Northwestern Polytechnical University, China] |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/41473]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.西北工业大学 |
| 推荐引用方式 GB/T 7714 | Dong Hao,Nie Yufeng,Cui Junzhi,et al. secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients[J]. chinesephysicsb,2015,24(9). |
| APA | Dong Hao,Nie Yufeng,Cui Junzhi,&Wu Yatao.(2015).secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients.chinesephysicsb,24(9). |
| MLA | Dong Hao,et al."secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients".chinesephysicsb 24.9(2015). |
入库方式： OAI收割
来源：数学与系统科学研究院
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