Singularities introduced by reduceDAEIndex

6 Sep 2019
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reduceIndexDAE introduces new variables to reduce the index of a DAE.
However, I guess that this may lead to numerical problems that are not due to the original DAE.
In fact, in the pendulum from DAEToolsExample, for x(t)~0 the integration fails. If in that example we set e.g. tfinal=1.5, we obtain:
Warning: Failure at t=5.055428e-01. Unable to meet integration tolerances without reducing the step size below the smallest value allowed (1.796049e-15) at time t.
Can this be avoided? Is this effect due to the introduction of Dxt7t(t)?

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