【摘要】 本文给出基于由Adams和Nystrom方法的组合、含有参数的一类预估——校正方法,这里预估方法是两个显式方法（A-B和Nystrom）的线性依合,校正方法是两个隐式方法（A-M和M-S）的线性组合。通过对参数的选取,使它们具有增大的绝对稳定区间。对于K=3,4,5,6,7,给出具有扩大绝对稳定区间的预估——校正方法。它们比同阶的Ap_kEC_k+1E方法的绝对稳定区间要增大很多。这些方法对求解中等Stiff方程是适合的。更多还原

【Abstract】 In this paper,a class of predictor-corrector methods with parameters based upon a combination of Adams and Nystrom methods are given. The predictor methods are a linear combination of two explicit formulas（A-B and Nustrom） and the corrector methods are a linear combination of two implicit formulas（A-M and M-S）.Within the parameters chosen, methods are obtained that show extended absolute stability intervals. Explicit formulas are given for predictor-corrector methods with the extended absolute stability intervals （for k=3,4,5,6,7）which possess larger stability intervals than that of AP_kEC_k+1E with in the same order. Such methods are appropriate for moderately stiff systems.更多还原