| L_2逼近高精度格式的基本原理及其应用 |
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| 引用本文： | 苏铭德,李启兵,王筑. L_2逼近高精度格式的基本原理及其应用[J]. 计算数学, 2001, 23(1): 9-26 |
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| 作者姓名： | 苏铭德 李启兵 王筑 |
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| 作者单位： | 苏铭德（清华大学，北京，100084）;李启兵（清华大学，北京，100084）;王筑（清华大学，北京，100084） |
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| 摘 要： |
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| 关 键 词： | L2逼近 高精度差分格式 微分方程 误差估计 |
L_2 APPROXIMATION HIGH-ACCURATE SCHEME: BASIC PRINCIPLE AND APPLICATION |
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| Su Mingde. L_2 APPROXIMATION HIGH-ACCURATE SCHEME: BASIC PRINCIPLE AND APPLICATION[J]. Mathematica Numerica Sinica, 2001, 23(1): 9-26 |
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| Authors: | Su Mingde |
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| Affiliation: | Su Mingde, Li Qibing, Wang Zhu (Tsinghua University, Beijing, 100084) |
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| Abstract: | 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. |
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