Lax-Wendroff and Nystrom methods for seismic modelling

doi:10.1111/j.1365-2478.2009.00802.x

	Lax-Wendroff and Nystrom methods for seismic modelling
	Chen, Jing-Bo
刊名	GEOPHYSICAL PROSPECTING
	2009-11-01
卷号	57 期号:6 页码:931-941
ISSN号	0016-8025
DOI	10.1111/j.1365-2478.2009.00802.x
英文摘要	Lax-Wendroff and Nystrom methods are numerical algorithms of temporal approximations for solving differential equations. These methods provide efficient algorithms for high-accuracy seismic modeling. In the context of spatial pseudospectral discretizations, I explore these two kinds of methods in a comparative way. Their stability and dispersion relation are discussed in detail. Comparison between the fourth-order Lax-Wendroff method and a fourth-order Nystrom method shows that the Nystrom method has smaller stability limit but has a better dispersion relation, which is closer to the sixth-order Lax-Wendroff method. The structure-preserving property of these methods is also revealed. The Lax-Wendroff methods are a second-order symplectic algorithm, which is independent of the order of the methods. This result is useful for understanding the error growth of Lax-Wendroff methods. Numerical experiments based on the scalar wave equation are performed to test the presented schemes and demonstrate the advantages of the symplectic methods over the nonsymplectic ones.
语种	英语
出版者	WILEY-BLACKWELL PUBLISHING, INC
WOS记录号	WOS:000270652700001
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/71446]
专题	中国科学院地质与地球物理研究所
通讯作者	Chen, Jing-Bo
作者单位	Chinese Acad Sci, Key Lab Integrat Res Geophys Petr, Inst Geol & Geophys, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Chen, Jing-Bo. Lax-Wendroff and Nystrom methods for seismic modelling[J]. GEOPHYSICAL PROSPECTING,2009,57(6):931-941.
APA	Chen, Jing-Bo.(2009).Lax-Wendroff and Nystrom methods for seismic modelling.GEOPHYSICAL PROSPECTING,57(6),931-941.
MLA	Chen, Jing-Bo."Lax-Wendroff and Nystrom methods for seismic modelling".GEOPHYSICAL PROSPECTING 57.6(2009):931-941.