【摘要】 <正> §1.引言 解常微分方程初值问题:的线性k步方法为 sum from j=0 to k (α_jy_n+j=h sum from j=0 to k (β_jf_n+j,（2）其中α₀²+β₀²≠0,α_k≠0.当β_k≠0时,（2）为隐式k步法;当β_k=0时,（2）为显式k步法. 若将（2）应用于单个方程 y′=λy,Reλ<0,则得差分方程 ρ（E）y_n=μσ（E）y_?,μ=λh,更多还原

【Abstract】 In this paper, several linear multistep methods are proposed. They possess farlarger regions of absolute stability than that of Adams method with the same order andtheir error constants are not much larger than that of the latter. Furthermore, an ana-lytical estimation for the interval of absolute stability is discussed.更多还原