The numerical solution of ordinary dierential equations having oscillating solution may require very small stepsizes when the frequency of oscillation increases. In order to develop ecient and accurate numerical methods, it is convenient to use adapted numerical integration based on the exploiting a-priori known information about the behavior of the solution. We present a class of exponentially fitted peer methods, show the derivation of order conditions and compare them with classical peer methods.

Adapted peer methods for oscillatory problems

Dajana Conte;Leila Moradi;Beatrice Paternoster
In corso di stampa

Abstract

The numerical solution of ordinary dierential equations having oscillating solution may require very small stepsizes when the frequency of oscillation increases. In order to develop ecient and accurate numerical methods, it is convenient to use adapted numerical integration based on the exploiting a-priori known information about the behavior of the solution. We present a class of exponentially fitted peer methods, show the derivation of order conditions and compare them with classical peer methods.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4751448
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