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	多维双曲型方程一般差分逼近时空网格同时加密的稳定性; Stability of Multidimensional InterFace of the General Hyperbolic DiFFerence Approximation with Mesh ReFinement in Both Space and Time
	陈传淡
	1998
关键词	多维常系数双曲型方程 一般差分逼近 时空网格同时加密 Multidimensional constant hyperbolic systems General diFFerence approximation Mesh reFinement in both space and time
英文摘要	讨论多维常系数双曲型方程式在一个中介面两侧的区域中，关于时间空间网格同时加密或稀疏情况下，分别应用不同的一般的柯西稳定差分逼近式的耦合稳定条件，推广了bErgEr只用于一维情形及l-W格式的结果.在多维情形下，应用MICHElSOn方法，利用傅里叶变换，得到包含对偶参数的特征方程式.再应用MICHElSOn的u.k.C判别条件，得到了多维常系数双曲型方程在中介面两边应用一般的分别为柯西稳定的格式并关于时空网格同时加密或稀疏问题的耦合稳定条件.; The matching stable conditions of the general diFFerence approximation For the multidimenstional hyperbolic equation in both sides of an interFace between two regions with mesh reFinement or rareFaction in both space and time are discussed.It is the development of Berger′s results which discussed only in the case of certain special diFFerence approximation L W scheme in one dimensional space.Using the Michelson′s method in the multidimensional space and the Fourier TransForm,the characteristic equation of the diFFerence approximation with dual parameter is obtained. Using the Michelson′s U.K.C.condition in the interFace between two regions with mesh reFinement in both space and time,the stable matching condition of the general diFFerence approximation is discussed.; 国家自然科学基金;福建省自然科学基金
语种	zh_CN
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/119965]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	陈传淡. 多维双曲型方程一般差分逼近时空网格同时加密的稳定性, Stability of Multidimensional InterFace of the General Hyperbolic DiFFerence Approximation with Mesh ReFinement in Both Space and Time[J],1998.
APA	陈传淡.(1998).多维双曲型方程一般差分逼近时空网格同时加密的稳定性..
MLA	陈传淡."多维双曲型方程一般差分逼近时空网格同时加密的稳定性".(1998).

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