On the stability of dual scattering channel schemes

Details On the stability of dual scattering channel schemes On the stability of dual scattering channel schemes

2004-05-06

arxiv.org/abs/math/0405095v3

Mathematics

Numerical Analysis

8 pages

Scientific paper

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.

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