secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients

	secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients
	Dong Hao 1; Nie Yufeng 1; Cui Junzhi2 ; Wu Yatao 1
	2015
发表期刊	chinesephysicsb
ISSN	1674-1056
卷号	24 期号:9
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.
语种	英语
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]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/41474
专题	计算数学与科学工程计算研究所
作者单位	1.西北工业大学 2.中国科学院数学与系统科学研究院
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).