Space-time Pattern and Driving Mechanism of Desertification Land Reversion in Arid Area

The space-time metric inside a black hole

黑洞内部的空时度规

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On the space-time metric of a neutron

中子的时空度规

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The Casimir energy is a kind of zero-point energy of quantized fields and can be considered as the energy of vacuum polarization of quantized fields due to the presence of boundaries, the curvature of the space-time manifold or some background fields.

Casimir能量是量子场的一类零点能，是由于边界的出现、时空的弯曲以及某些背景场的存在而引起的。

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This paper, on the basis of Yuelu-mountain high-tech park in Changsha city, beginning with the investigation of diversiform transit-trip in the park, firstly analyzes and evaluates space-time change law of traffic flow and situation of traffic service level on actual road net-work in the park;

本文以长沙市岳麓山高科技园区为依托，从调查园区内的各类交通出行开始，首先分析评价了园区内现状道路网上的交通流时空变化规律及道路网上的交通服务水平状况；

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The soil eroded data in different period are used to analyse systematically the situation and space-time change law of soil hydraulic power erosion in ZhangZhou city, and the reason is discussed.

利用不同时期的土壤侵蚀数据，系统地分析漳州市土壤水力侵蚀现状和时空变化规律，并对产生的原因进行深入的探讨。

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The appraisal content includes precipitation, runoff and their space-time change law of every key element. That includes the quantity and the quality of surface water and grounder water.

评价内容包括降水、径流及各要素时空变化规律，地表水、地下水资源的数量、水资源质量以及总资源量和水资源可利用量。

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The Study of the Space-time Distribution Law of Water Quality Parameter in the Poyang Lake

鄱阳湖水质参数时空分布规律探讨

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The authors have derived the space-time correlation functions of complex amplitude and intensity fluctuations for far-field diffraction region, with which the statistical properties of time-varying speckle pattern could be described completely.

推导出远场时变散斑振幅涨落及光强涨落的空-时相关函数，它们完整地描述了远场时变散斑的统计性质。

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Space-time correlation functions of noise field in inhomogenous shallow water

非均匀浅海中噪声场的时空相关函数

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The two-dimensional Navier-Stokes equations are numerically solved using Space-time FEM/ Galerkin Least Squares method. In space-time formulations, finite element method is employed for both temporal and spatial discretization, which proves to be effective for solving moving boundary problems.

本文所采用的数值方法是时空有限元／伽辽金最小二乘法，该方法的特点是时间维和空间维均采用有限元方法进行离散，因而可以处理动边界、动网格问题。

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First of all, with thrice Hermite interpolation to element displacement, the control equation of dynamics is derived in space-time domain. Two groups of space-time finite element formulae solving displacement and velocity are obtained.

作者首先对单元位移采用时域上三次Hermite插值多项式，在空间域和时间域中联合离散控制方程，分别推导出了动力学问题的两组递推公式，以求解位移和速度。

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The hp-version Space-time Discontinuous Finite Element Methods for Parabolic Equations

抛物方程的hp间断时空有限元方法

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The space-time discontinuous finite element method for a semi-linear parabolic integro-differential equation

半线性抛物型积分微分方程的间断时空有限元方法

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Convergence of Space-time discontinuous finite element of one-order hyperbolic systems

一阶双曲型方程组的时空间断全离散有限元的收敛性

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For each fourth order parabolic equations, the mixed discontinuous space-time finite element scheme is constructed by lowering the order of the equation by mixed finite element. And the equation is discretized by space-time finite element method, continuous in space but discontinuous in time.

对每个方程构造了混合时间间断时空有限元格式，利用混合有限元方法将高阶方程降阶，利用空间连续而时间允许间断的时空有限元方法离散方程。

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The discontinuous space-time finite element methods, that is, approximating functions is discontinuous at the nodes of partition in time, is considered for a parabolic integro-differential equations, and the theoretic analysis of the finite element solution is given.

本文利用间断时空有限元方法，即允许近似函数在节点处是间断的，研究了抛物型积分微分方程。

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The resultant nonlinear algebraic equations via space-time finite element discretization of Navier-Stokes equations are iteratively solved using Newton-Raphson method. At each iterative substep, the linear equations are solved using iterative GMRES solver.

基于有限元离散得到的非线性代数方程组用Newton-Raphson方法迭代求解，在子迭代步的线性方程组采用GMRES算法求解。

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Because of the calculation difficulty when solving the dynamic problems, development of the efficient algorithm for the dynamic differential equations is always an important research and the space-time finite element method can provide a feasible approach to it.

由于求解动力学问题时计算繁琐且有误差累积，因此，开发出求解动力学微分方程的有效算法一直是一个重点的研究方向，而时空有限元法可以为此提供一条可行的途径。

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Based on the idea of the space-time conservation element and solution element ( CE/ SE) method, a new CE/ SE method was constructed for solving this two-dimensional equations of jet flow.

依据CE/SE方法的思想，推导了二维CE/SE算法，用于数值计算传火孔射流场复杂波系的产生、演变与发展的过程。

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Discontinuous space-time finite element methods deal with the spatial and the temporal variables conformably. Thus high orders of accuracy in both dircetions are achieved.

间断时空有限元方法统一时间和空间变量，在时间和空间的两个方向同时发挥有限元方法的优势，实现了时、空两个方向的高精度。

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