构造高阶精度基本不振荡格式的理论证明  

A THEORETICAL PROOF FOR THE CONSTRUCTION OF HIGH ORDER ESSENTIALLY NON- OSILLATORY SCHEMES

作　　者：么焕民[1] 刘崇华[1] 里景权 

机构地区：[1]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

出　　处：《哈尔滨师范大学自然科学学报》1996年第3期7-14,共8页Natural Science Journal of Harbin Normal University

摘　　要：本文研讨了Ｈａｒｔｅｎ等人提出的高阶精度基本不振荡格式ＥＮＯ［１，２］，给出一种构造一致三次分段插值多项式函数Ｒ（Ｘ，Ｗ），叫以及四阶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。ENO schemes by Harten[1,2] 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.

关 键 词：ENO格式 分段光滑函数 双曲型方程 

分 类 号：O241.82[理学—计算数学]