Multilevel augmentation methods for differential equations

doi:10.1007/s10444-004-4092-6

CSpace

	Multilevel augmentation methods for differential equations
	Chen, ZY ; Wu, B ; Xu, YS
	2006
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	24 期号:1-4 页码:213-238
摘要	We develop multilevel augmentation methods for solving differential equations. We first establish a theoretical framework for convergence analysis of the boundary value problems of differential equations, and then construct multiscale orthonormal bases in H(0)(m)(0,1) spaces. Finally, the multilevel augmentation methods in conjunction with the multiscale orthonormal bases are applied to two-point boundary value problems of both second-order and fourth-order differential equations. Theoretical analysis and numerical tests show that these methods are computationally stable, efficient and accurate.
关键词	multilevel augmentation methods multiscale orthonormal bases in Sobolev spaces differential equations
DOI	10.1007/s10444-004-4092-6
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000236833200012
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3906
专题	中国科学院数学与系统科学研究院
作者单位	1.Zhongshan Univ, Dept Comp Sci & Comp Applicat, Guangzhou 510275, Peoples R China 2.Syracuse Univ, Dept Math, Syracuse, NY 13244 USA 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, ZY,Wu, B,Xu, YS. Multilevel augmentation methods for differential equations[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2006,24(1-4):213-238.
APA	Chen, ZY,Wu, B,&Xu, YS.(2006).Multilevel augmentation methods for differential equations.ADVANCES IN COMPUTATIONAL MATHEMATICS,24(1-4),213-238.
MLA	Chen, ZY,et al."Multilevel augmentation methods for differential equations".ADVANCES IN COMPUTATIONAL MATHEMATICS 24.1-4(2006):213-238.