摘要
The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived with their remainder expressions.
The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived with their remainder expressions.
作者
Wang Xinghua,Wang Heyu & Ming-Jun Lai Department of Mathematics, Zhejiang University, Hangzhou 310028, China
Computing Center, Zhejiang University, Hangzhou 310012, China
Department of Mathematics, University of Georgia, Athens, GA 30602-7403, USA
基金
supported by the National Natural Science Foundation of China(Grant No.10471128).