Adapted peer methods for oscillatory problems

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.