) 中图学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ≤(1+hDy+|a+(+h)y+…+(1+hL)+)7 (1+hL)yo|+ 1-(1+h) hT 1-(1+hL) ≤(1+M)yo+ (1+hL) hT hL ≤(+M)| e=0 (1+x)<e e (n+lhL T T=O(h) L 是1阶方法 em=o(h) 称为整体截断误差数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS hL e ( hL hL )hT n n (1 ) 0 (1 ) (1 ) 1 1  + + + + + + + +  hT hL hL hL e n n 1 (1 ) 1 (1 ) (1 ) 1 0 1 − + − + = + + + + hT hL hL hL e n n 1 0 1 (1 ) (1 ) + + +  + +        + + + L T hL e n 0 1 (1 )        + L T e (n 1)hL ( )  en+1 = O h ( ) (1 ) 0 0 T O h x e e n nx = +  = 称为整体截断误差 是1阶方法