1.In forth chapter, several difference methods that are suitable for solution of quasilinear equation are presented, namely, one step Lax-Wendroff scheme, two step Lax-Wendroff scheme, Mac Cormark scheme, TVD scheme, Harten TVD scheme with two-order precision. All of them are applied to simulate the same traffic-flow question and choose the best scheme under the consideration of their results.
在第4章中，给出了适于求解拟线性方程的几种差分格式，即一步Lax-Wendroff格式、二步Lax-Wendroff格式、Mac Cormark格式、一阶TVD格式、Harten二阶TVD格式，并用上述5种格式对同一简单的交通流问题进行了数值模拟，利用数值结果，筛选出最适合求解具有强间断特性的交通流问题Harten二阶TVD格式。
2.The modified HLLEW (Harten-Lax-van Leer-Einfeldt-Wada)scheme is used for the solution of fluid equations.
其中流体计算的空间离散采用改进的HLLEW(Harten—Lax-van Leer-Einfeldt-Wada)格式.
3.Isospectrl Non-Isospectral Dirac Hierarchies and Its Lax Representations
等谱和非等谱Dirac族及其Lax表示
4.These new schems are total-variation-diminishing (TVD) under the the CFL-like restrictions, hence do not imply spurious oscillations, such as those generated by the two-step Lax-Wendroff scheme, the Maccom-ark scheme and other classical second-order accurate schemes near discontinuities of the solutions.
文章证明,在拟CFL条件限制下,格式为总变差衰减差分格式(TVD格式),因此不发生常用的诸如二步二阶Lax-Wendroff格式、Maccomark格式和其他古典二阶格式计算不连续解时在其周围出现的剧烈振荡现象。
5.HLLC (Harten,Lax,van Leer,Contact) approxima te Riemann solver is the simplest average-state solver capable of exactly prese rving contact and shear waves. Solutions obtained by this method are essentially indistinguishable from those produced by an exact Riemann solver. If vacuum con ditions appear in flow fields, the original HLLC solver, using any of the wave- speed estimates suggested by Toro et al.
以三维非结构网格的显式有限体积法为基础 ,采用格心方法以及基于近似黎曼解的二阶精度 Godonov扩展方法求解三维 Euler方程 ,使用 HLLC( Harten,Lax,van Leer,Contact)近似黎曼解的方法计算网格单元边界处的守恒量通量。
6.Then, we find the Yang-Baxter equation satisfied by the monodromy matrix defined through Lax operator. Infinite conserved quantities can be obtained by expanding the monodromy matrix repecting to the spectrum parameter.
接着找到了由Lax矩阵所定义的monodromy矩阵所满足的Yang-Baxter方程(YBE)，利用monodromy矩阵对谱参数的展开可找出无穷多守恒量，从而证明了此模型的可积性；
7.AUX1/LAX proteins are auxin influx carriers and the family of PIN-FORMED (PIN) proteins are efflux carriers.
AUX1/LAX蛋白是生长素运入载体,而PIN蛋白是生长素运出载体。
8.KAC-MOODY ALGEBRA STRUCTURE IN LAX REPRESENTATION
Lax表示的Kac—Moody代数结构
9.THE CONSTRAINT OF LAX PAI RS FOR THE HIGHER ORDHR HARRY-DYM EGUATION
高阶Harry—Dym方程的LaX组的约束
10.such lax and slipshod ways are no longer acceptable; lax in attending classes; slack in maintaining discipline.
如此松懈、漫不经心的作风不会再被接受了；对到堂听讲要求很松；纪律松弛。
