关于梯形法的局部外插

是A稳定的,其外插可分为整体和局部两种.整体外插是在整个区间上用梯形法完成积分后再进行外插,仍保持A稳定性;局部外插是在每一节点上进行外插,再将此外插值作为以后积分的初值.Lapidus和Seinfeld指出,梯形法局部外插不保持A稳定性.因此

ON METHODS OF TRAPEZOIDAL RULE WITH LOCAL EXTRAPOLATION

Methods of trapezoidal rule with local extrapolation are considered and their stabilityis discussed. The stability regions for the methods that are given are big enough for the useof the methods. The relative error of the methods is compared with that of global extrapola-tion.