L_2逼近高精度格式的基本原理及其应用  

L_2 APPROXIMATION HIGH-ACCURATE SCHEME: BASIC PRINCIPLE AND APPLICATION

作　　者：苏铭德[1] 李启兵[1] 王筑[1] 

机构地区：[1]清华大学,北京100084

出　　处：《计算数学》2001年第1期9-26,共18页Mathematica Numerica Sinica

摘　　要：In the present paper, a new numerical method: L2 approximation high accurate scheme is developed. The solution obtained by using this method satisfies not only at the discrete points, but also approximates to the exact solution in the total region. The basic principle is introduced and this method is used to solve some problems. The results show its high accuracy, high resolution and other advantages.In the present paper, a new numerical method: L_2 approximation high accurate scheme is developed. The solution obtained by using this method satisfies not only at the discrete points, but also approximates to the exact solution in the total region. The basic principle is introduced and this method is used to solve some problems. The results show its high accuracy, high resolution and other advantages.

关 键 词：L2逼近 高精度差分格式 微分方程 误差估计 

分 类 号：O241.8[理学—计算数学]