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

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 systems
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/21893
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