N ov 2 00 6 Phase properties of exponentially - fitted symmetric multistep methods for y ′ ′ = f ( x , y ) Hans
نویسنده
چکیده
A convenient tool to obtain numerical methods specially tuned on oscillating functions is exponential fitting. Such methods are needed in various branches of natural sciences, particularly in physics, since a lot of physical phenomena exhibit a pronounced oscillatory behavior. Many exponentially-fitted (EF) symmetric multistep methods for y = f(x, y) are already developed. To have an idea of the accuracy we examine their phase properties. The remarkably simple expression of the phase-lag error obtained in Theorem 2 allows to draw quantitative conclusions on the merits of each EF version. PACS Subject Classification : 02.60; 02.70.Bf; 95.10.Ce; 95.10.Eg; 95.75.Pq.
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تاریخ انتشار 2006