The interpolation polynomial in the k-step Adams-Bashforth method may be used to compute the numerical solution at off grid points. We show that such a numerical solution is equivalent to the one obtained by the Nordsieck technique for changing the step size. We also provide an application of this technique to the event location in discontinuous differential systems
On the continuous extension of Adams-Bashforth methods and the event location in discontinuous ODEs
LOPEZ, Luciano
2012-01-01
Abstract
The interpolation polynomial in the k-step Adams-Bashforth method may be used to compute the numerical solution at off grid points. We show that such a numerical solution is equivalent to the one obtained by the Nordsieck technique for changing the step size. We also provide an application of this technique to the event location in discontinuous differential systemsFile in questo prodotto:
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