High order numerical methods to a type of delta function integrals

doi:10.1016/j.jcp.2007.06.025

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	High order numerical methods to a type of delta function integrals
	Wen, Xin
	2007-10-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	226 期号:2 页码:1952-1967
摘要	We study second to fourth order numerical methods to a type of delta function integrals in one to three dimensions. These delta function integrals arise from recent efficient level set methods for computing the multivalued solutions of nonlinear PDEs. We show that the natural quadrature approach with usual discrete delta functions and support size formulas to the two dimensional delta function integrals suffer from nonconvergence. We then design high order numerical methods to this type of delta function integrals based on interpolation approach. Numerical examples are presented to verify the efficiency and accuracy of our methods. (c) 2007 Elsevier Inc. All rights reserved.
关键词	delta function integral level set method discrete delta function
DOI	10.1016/j.jcp.2007.06.025
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000250209700038
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4863
专题	中国科学院数学与系统科学研究院
通讯作者	Wen, Xin
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wen, Xin. High order numerical methods to a type of delta function integrals[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2007,226(2):1952-1967.
APA	Wen, Xin.(2007).High order numerical methods to a type of delta function integrals.JOURNAL OF COMPUTATIONAL PHYSICS,226(2),1952-1967.
MLA	Wen, Xin."High order numerical methods to a type of delta function integrals".JOURNAL OF COMPUTATIONAL PHYSICS 226.2(2007):1952-1967.