| 构造高阶精度基本不振荡格式的理论证明 |
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| 引用本文： | 么焕民,刘崇华.构造高阶精度基本不振荡格式的理论证明[J].哈尔滨师范大学自然科学学报,1996,12(3):7-14. |
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| 作者姓名： | 么焕民 刘崇华 |
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| 作者单位： | 哈尔滨师范大学，带岭林业干部学院基础部，黑龙江省煤炭学校 |
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| 摘 要： | 本文研讨了Ｈａｒｔｅｎ等人提出的高阶业有度基本浊振荡格式ＥＮＯ，给出一种构造一致三次分段插值多项式函数Ｒ（ｘ，ｗ）以及四阶ＥＮＯ格式的方法，并在理论上 证明了如此构造的格式是基本不振荡的一致三阶守恒型格式。
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| 关 键 词： | ENO格式 分段光滑函数 双曲型方程 |
A THEORETICAL PROOF FOR THE CONSTRUCTION OF HIGH ORDER ESSENTIALLY NON- OSILLATORY SCHEMES |
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| Yao Huannmin.A THEORETICAL PROOF FOR THE CONSTRUCTION OF HIGH ORDER ESSENTIALLY NON- OSILLATORY SCHEMES[J].Natural Science Journal of Harbin Normal University,1996,12(3):7-14. |
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| Authors: | Yao Huannmin |
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| Institution: | Yao Huannmin (Harbin Normal University)Liu Conghua; Li Jingquan(Dailing Forestry Cadre College) (Heilongjiang Coal College) |
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| Abstract: | ENO schemes by Harten1,2] are studied in this paper. A method which constrUCt a uniformly three-order piecewise polynomial function R(x; w) of x as four-order interpolant polynomial funCtion and four-order ENO schemes are given. The schemes is proved theoretically uniformly three -order accurate essentially non -oscillatory one in conservation form. |
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| Keywords: | ENO schemes Piecewise smooth function Lipschitz continuous Cell- average |
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