Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II
Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II
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DOI：
10.1090/s0025-5718-1978-0501998-x
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发表时间：
1978-01
影响因子：
2
通讯作者：
M. Goldberg;E. Tadmor
中科院分区：
文献类型：
--
作者：
M. Goldberg;E. Tadmor
翻译后摘要：方便的稳定性准则，获得双曲型初边值问题的差分近似。近似由任意的基本格式和广泛的一类边界条件。新准则是用边界条件的输出部分给出的，与基本格式无关。结果很容易暗示，一些众所周知的边界处理，当与任意稳定的基本格式组合使用时，总是保持稳定。因此，在最近的文献中研究的许多特殊情况进行了推广。（作者）
Abstract : Convenient stability criteria are obtained for difference approximations to hyperbolic initial-boundary value problems. The approximations consist of arbitrary basic schemes and a wide class of boundary conditions. The new criteria are given in terms of the outlfow part of the boundary conditions and are independent of the basic scheme. The results easily imply that a number of well known boundary treatments, when used in combination with arbitrary stable basic schemes, always maintain stability. Consequently, many special cases studied in recent literature are generalized. (Author)