Error analysis of exponential integrators for oscillatory second-order differential equations
نویسندگان
چکیده
In this paper we analyse a family of exponential integrators for secondorder differential equations in which high-frequency oscillations in the solution are generated by a linear part. Conditions are given which guarantee that the integrators allow second-order error bounds independent of the product of the step size with the frequencies. Our convergence analysis generalises known results on the mollified impulse method by Garćıa-Archilla, Sanz-Serna and Skeel [6] and on Gautschi-type exponential integrators [12, 13]. AMS classification scheme numbers: 65L05, 65L70, 65M12
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تاریخ انتشار 2006