两类求解二阶周期性初值问题具有极小相位延迟的高精度显式法

HIGH-ACCURACY EXPLICIT METHODS WITH MINIMAL PHASE-LAG FOR THE INTEGRATION OF SECOND ORDER PERIODIC INITIAL-VALUE PROBLEMS

两类求解二阶周期性初值问题具有极小相位延迟的高精度显式法向开理（西南石油学院）ＨＩＧＨ－ＡＣＣＵＲＡＣＹＥＸＰＬＩＣＩＴＭＥＴＨＯＤＳＷＩＴＨＭＩＮＩＭＡＬＰＨＡＳＥ－ＬＡＧＦＯＲＴＨＥＩＮＴＥＧＲＡＴＩＯＮＯＦＳＥＣＯＮＤＯＲＤＥＲＰＥＲＩＯＤＩＣ...

Abstract In this paper, a class of explicit two-step methods with minimal phase-lag for the integration of second order periodic initial-value problems is suggested. These methods have the advantage of higher precision, considerably smaller phase-lag and a larger interval of periodicity than the explicit methods in [1]-[2]. Numerical experiments have shown that the methods presented are efficient.