求解y″(x)=g(x,y)的带参数P-稳定线性多步方法

P-stable Linear Multistep Methods with a Parameter for y″=g(x,y)

两类带参数的线性多步方法具有以下特性 :①相容阶都是 6 ;②是P 稳定的 ;③无相位误差和伸缩误差 ;④可以构造PECE算法

Two sort of methods (SODEA,SODEB) are constructed;these methods are p stable,6 order consistent,no phase error,no amplification error;using SODEA methods and SODEB methods can construct PECE scheme.Numerical tests show that the PECE scheme is much more efficient for integration of initial value problems of second order ordinary differential equation.