不连续性分类
分段
间断(语言学)
数学
多项式的
学位(音乐)
分辨率(逻辑)
应用数学
功能(生物学)
数学分析
分段线性函数
计算机科学
物理
声学
进化生物学
生物
人工智能
标识
DOI:10.1016/0021-9991(89)90226-x
摘要
In this paper, we introduce the notion of subcell resolution, which is based on the observation that unlike point values, cell-averages of a discontinuous piecewise-smooth function contain information about the exact location of the discontinuity within the cell. Using this observation we design an essentially non-oscillatory (ENO) reconstruction technique which is exact for cell averages of discontinuous piecewise-polynomial functions of the appropriate degree. Later on we incorporate this new reconstruction technique into Godunov-type schemes in order to produce a modification of the ENO schemes which prevents the smearing of contact discontinuities.
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