Abstract
The recent theoretical results of Liniger and Willoughby have been applied to the transient analysis of linear time-invariant networks possessing large time-constant spreads. In our approach we accept a compromise situation where an acceptable loss of integration accuracy for the slowly varying components of the solution (with respect to an arbitrarily specified integration time step <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">h</tex> ) is incurred, but where the rapidly varying components of the solution (again with respect to <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">h</tex> ) are proportionally "killed off." This is accomplished by the selection, in some optimal way, of a free parameter characterizing a family of linear one-step numerical integration formulas.
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