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Mathematics > Numerical Analysis

arXiv:math/0405095 (math)
[Submitted on 6 May 2004 (v1), last revised 8 Jun 2004 (this version, v3)]

Title:On the stability of dual scattering channel schemes

Authors:Steffen Hein
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Abstract: Dual scattering channel (DSC) schemes generalize Johns' TLM algorithm in replacing transmission lines with abstract scattering channels in terms of paired distributions. A well known merit of TLM schemes is unconditional stability, a property that is commonly drawn upon the passivity of linear transmission line networks. So the question arises, if DSC algorithms remain stable in a neat sense. It is shown that a large class of alpha-passive processes are in fact unconditionally stable. The analysis applies to TLM and DSC schemes alike and includes non-linear situations.
Comments: 8 pages
Subjects: Numerical Analysis (math.NA)
MSC classes: 65L20,65M12
Cite as: arXiv:math/0405095 [math.NA]
  (or arXiv:math/0405095v3 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.math/0405095

Submission history

From: Steffen Hein [view email]
[v1] Thu, 6 May 2004 09:29:53 UTC (10 KB)
[v2] Wed, 19 May 2004 11:00:30 UTC (10 KB)
[v3] Tue, 8 Jun 2004 15:49:39 UTC (10 KB)
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