This thesis is concerned with an initial - boundary value problem for strictly convex conservation laws whose weak entropy solution is in the piecewise smooth solution class consisting of finitely many discontinuities 本文讨论严格凸守恒律的初边值问题,其弱熵解在一类含有有限个间断的分片光滑函数中。
The limits of stresses in the two categories of elastic bodies with piecewise smooth boundaries and the conditions posed by saint - venant ' s principle are deduced and considered as the mathematical expressions of saint - venant ' s principle for the problems 摘要导出两类具有分片光滑边界面和圣维南原理条件的弹性体中应力分量的极限,并把其作为该两类问题的圣维南原理的数学表达。
Eno schemes are based on the approximation theory , which achieve high - order spatial accuracy by reconstructing piecewise smooth high - order approximate polynomial from the cell - averaging values . during the reconstruction , adaptive stencil technology , which automatically chooses the relatively smoothest stencil from all possible stencils , is adopted to guarantee essentially non - oscillation near the discontinuity Eno格式基于近似理论,采用自适应基架技术(即自动选取所有基架中相对最为光滑的基架) ,对网格平均值构造分段光滑的高阶多项式来获得高阶空间精度,同时保证格式在间断附近具有基本无振荡性质。