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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
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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.
机构地区 清华大学
出处 《计算数学》 CSCD 北大核心 2001年第1期9-26,共18页 Mathematica Numerica Sinica
关键词 L2逼近 高精度差分格式 微分方程 误差估计 high accurate scheme, L_2 approximation
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参考文献2

  • 1Fu D X,7th National Conference of CFD,1994年
  • 2Liu Q S,清华大学学报,36卷,4期

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