| 1. | A second - order non - uniform grid essentially non - oscillatory difference scheme
一个基于非均匀网格上的二阶基本无振荡差分格式 |
| 2. | The essentially non - oscillatory characteristic difference method for convection - diffusion equation
构造对流扩散方程高精度非均匀网格格式的指数变换方法 |
| 3. | A linear impulsive delay difference equation is considered , and snfficient conditions are obtained for the oscillation of nontrivial solutions and asymptotic behaviors of non - oscillatory solutions
摘要研究了一类线性脉冲时滞差分方程，并给出方程非振动解的渐近性态和所有非平凡解振动的判据。 |
| 4. | The asymptotic behavior of solutions for a class of high order delay partial differential equations is established in this paper . some asymptotic behaviors of non - oscillatory solutions are obtained
摘要研究了一类高阶时滞偏微分方程在三种边值条件下的解的渐近性，得到了其非振动解的渐近性质。 |
| 5. | In this paper , we develop the high - order accurate essentially non - oscillatory ( eno ) schemes on one and two - dimensional structured meshes in the finite volume formulation , and discuss their applications in hyperbolic conservation laws
本文构造了一维、二维结构网格中的高阶精度基本无振荡( eno )有限体积格式，并且讨论了它在双曲守恒型方程中的应用。 |
| 6. | Non - oscillatory and non - free - parameters dissipative ( nnd ) finite difference scheme ( a total variation diminishing scheme ) with second order accuracy was adopted to solve the fluid dynamic equations , a finite rate chemical reaction model was developed to calculate ingredient producing rate , and an adi over relaxation iteration technique was used to solve the electromagnetic discretized equations
采用二阶精度nnd格式求解流体力学方程组，采用有限速率化学反应模型计算组分生成率，采用交替方向隐式( adi )超松弛迭代法求解电磁场离散方程。 |
| 7. | Y type and s type dual - path saw mass sensors have been tested and analysed in detail . their frequency domain characteristics and time domain characteristics have been tested under non - oscillatory mode . transmission characteristics of y type s type and " - " type saw mass sensors are derived by p matrix representation . primary delay signal triple reflection signal and quintuple reflection signal of these sensor devices have been analysed in detail
结果表明，在正常工作模式下， y型和s型双声路声表醚质量传感器件的三次渡越反射信号和五次渡越反射信号比“一”字型双声路声表醚质量传感器件的三次渡越反射信号和五次渡越反射信号分别小12db 、 16 . 67db和n _ . sdb ? 17 . 3db 。 |
| 8. | In this paper , high - order accurate weighted essentially non - oscillatory ( weno ) schemes are investigated and their applications in hyperbolic conservation laws are discussed . based on this , a new weno difference scheme which based on dispersion - relation - preserving relation is developed , and representative test cases with this scheme for computational aeroacoustics ( caa ) problems has been implemented and compared in order to test capability of wave capturing ; in addition , weno schemes generally do not converge at high order in the presence of contact discontinuity of euler equations , so a conservative front tracking technique coupling weno schemes and level set method to simulate the translating density profile is presented here , and numerical simulation with this technique for representative test case has been implemented and results show the desired accuracy
本文研究了高阶精度加权基本无振荡( weno )格式及其在双曲守恒律方程中的应用，在此基础上作了两个方面的工作：一是针对高频声波问题构造出一种基于保色散关系( drp )的weno有限差分格式，并对计算气动声学( caa )问题的代表性算例进行了大量数值实验，比较了该格式捕捉波数的能力；另外，针对高阶weno格式在处理euler方程的接触间断时精度有所降低的问题，研究了利用界面追踪技术levelset方法和高阶激波捕捉weno格式相结合的一种守恒追踪方法，并且给出有代表性的密度滑移面问题的算例，得到一致高阶精度的数值模拟结果。 |
| 9. | In this paper , by use of the idea of constructing of high accurate eno ( essentially non - oscillatory ) schemes applied successfully in the simulation of euler equations , a new kind of high accurate finite volume schemes have been constructed in lagrangian coordination . combining with the eno interpolation , two kinds of conservative remapping algorithms have been developed for arbitrary mesh systems
本文采用已经在euler方程求解中得到成功运用的高精度eno ( essentiallynon - oscillatory )有限体积格式的构造思想，构造了lagrange坐标系下高精度有限体积格式，结合eno插值自适应选取插值点的特性，提出了两类适用于任意网格的守恒重映方法。 |
| 10. | In the first part , it is addressed that the combination of wavelet analysis and hidden markov models is applied to image segmentation , especially to document segmentation . in another part , the essentially non - oscillatory ( eno ) wavelet transforms and its application to image compression are addressed . the primary work in the dissertation is in detail : 1
本文主要研究小波分析与隐马尔可夫模型在图像处理中的应用，包括如下两部分：一部分研究小波分析与隐马尔可夫模型相结合在图像分割中的应用，特别是在文本图像分割中的应用；另一部分研究eno （ essentiallynon oscillatory ）小波变换及其在图像压缩中的应用。 |
