高阶Adams公式的系数

THE COEFFICIENTS OF HIGHER ORDER ADAMS FORMULAS

摘要: 当k的值不大时(例如k≤4),诸系数γiγi^*,β_kρ,β_kρ^*易于手工计算。但对大的k值(例如k≥5),手工计算已非易事。利用著名的计算机代数软件:REDUCE^a,我们可以很容易地计算出诸系数γi,γi^*,β_kρ,β_kρ^*。

Abstract: In this paper, the coefficients γi, γi,,β_kp and β_kp in the explicit and implicit Adams integration schemes (1) and (2) are calculated for 0 ≤ j,k ≤ 9 using REDUCE.lt is pointed out that there were some errors in the tabulated values of β_5p in Refs.1 and2.