一维对流离散方程反问题的数值解法与应用

重点探讨了河流水质模拟中的分布参数辨识问题，针对河流纵向离散系数的空间分布特性，建立了一维对流离散方程反问题模型的结构，根据差分方法、ＰＳＴ方法和正则化方法提出了反问题模型的数值解法，并给出了应用结果．     

一维对流离散方程反问题的数值解法与应用

重点探讨了河流水持模拟中的分布参数辨识问题，针对河流纵向离散系数的空间分布特性，建立了一维对流离散方程反问题模型的结构，根据差分方法，ＰＳＴ方法和正则化方法提出了反问题模型的数值解法，并给出了应用结果。     

平面弹性力学问题的离散元网格自适应方法

根据连续介质平面弹性力学离散及元法的基本原理，分析了解决平面弹性力学问题的离散元网格自适应方法.基于界面位移提出了离散元相对误差评价指标及相应的后验误差分析方法.在此基础上给出了连续介质离散元法网格自适应策略.与有限元法相比，离散元法的网格自适应策略具有原理简单、无奇点和单元畸形、实施方便的优点.2个典型的数值算例表明，提出的离散元相对误差评价指标以及相应的网格自适应策略能够很好地模拟平面弹性力学应力集中现象和边界效应，自适应网格与相应的有限元分析结果一致.     

弹性动脉血管内血液流场数值模拟及有限元分析

以弹性动脉血管内血液流场与血管壁运动之间的相互作用为背景，建立了一组血液流动与管壁振动相耦合的、非线性的且带有奇异性的偏微分方程组及相应的定解条件；通过有限元分析，得到了有限元的全离散逼近格式；在加权的Sobolev空间得到了格式的L^2误差估计；利用有限元的二次离散技术给出了全离散格式的代数方程组，根据数值模拟计算结果，绘制了血液流场图和压力曲线。计算结果与物理运动吻合。     

离散角对反射与透射系数的影响

目的：研究离散角对反射与透射系数的影响。方法：根据电磁场边值条件，分析光在两单轴晶体分界面处的反射和折射情况。结果与结论：给出了光在两单轴晶体分界面反射与透射系数和离散角的关系，是目前最具一般性的结果。     

离散哈密顿系统的几个结论

给出了离散哈密顿系统的几个结论和Ｐｉｃｏｎｅ恒等式，其结果是连续哈密顿系统相应结果的离散化。     

辐射离散坐标法在柱形炉膛中的辐射传热计算

利用离散坐标法对圆柱形炉膛辐射传热进行了计算,结果与计算精确的区域法的计算结果符合较好;同时又利用离散坐标法和热流法对旋流燃烧室温度场进行比较计算,结果表明：离散坐标法计算结果与文献中实验结果符合较好;离散坐标法具有较好计算精度,可应用旋流燃烧辐射计算中.     

一个机器学习定量属性的定性方法TCIN

提出一个连续属性离散化方法ＴＣＩＮ，它首先使用自然划分法对区间进行划分，然后使用ＫＮ－近邻估计，利用基于最小错误率的Ｂａｙｅｓ决策寻找划分点进一步离散化连续属性，该方法获得了很好的结果，本文最后给出了ＴＣＩＮ与另一连续属性离散化ＭＤＬＰＣ的比较结果，实验结果表明了ＴＣＩＮ的精确度高于ＭＤＬＰＣ。     

混合离散变量的整型优化方法

本文对混合离散变量的优化问题进行了探讨，提出了将混合离散变量转换为单一的纯整型离散变量、并在整型空间内对全离散或混合离散变量、约束非线性问题进行优化设计的新方法。     

基于离散变量的钢筋混凝土独立基础优化设计

分析了钢筋混凝土独立基础优化设计中设计变量离散化、约束条件非线性的特点，利用离散变量的优化设计方法对钢筋混凝土独立基础进行优化设计研究。工程数据分析表明所采用的离散变量优化方法使造价降低了5％～15％；随着设计轴力偏心距的增大，常规设计与优化设计结果越接近。     

开采沉陷动态参数预计的三次指数平滑法

在我国,概率积分法是应用最多的一种开采沉陷预计方法．该方法中的预计参数在不同采动程度下是变化的．能否准确获知动态参数的变化规律将决定着开采沉陷的预计精度．为较好地解决这一问题,引入了一种动态参数预计的新方法,即三次指数平滑法．应用此方法对实测资料进行了预计和比较,结果表明,各预计参数的平均相对误差都小于4％．由此可见,该方法对开采沉陷的预测具有一定的应用价值．     

开采沉陷动态参数预计的三次指数平滑法

在我国,概率积分法是应用最多的一种开采沉陷预计方法.该方法中的预计参数在不同采动程度下是变化的.能否准确获知动态参数的变化规律将决定着开采沉陷的预计精度.为较好地解决这一问题,引入了一种动态参数预计的新方法,即三次指数平滑法.应用此方法对实测资料进行了预计和比较,结果表明,各预计参数的平均相对误差都小于4%.由此可见,该方法对开采沉陷的预测具有一定的应用价值.     

基于Matlab的拟稳平差法在沉降观测基准点检验中的应用

沉降观测基准点的稳定性是保证沉降观测获取正确沉降信息的基础，工程中较多使用数理统计法检验沉降观测基准点的稳定性。应用Matlab进行拟稳平差计算，初步选出可靠的基准点，然后应用数理统计法对选出的基准点总体进行稳定性检验，并结合实例介绍了其相关的计算方法，分析了其适用性和可靠性。     

Time function of surface subsidence based on Harris model in mined-out area

The surface subsidence is a common environmental hazard in mined-out area. Based on careful analysis of the regularity of surface subsidence in mined-out area, we proposed a new time function based on Harris curve model in consideration of the shortage of current surface subsidence time functions. By analyzing the characteristics of the new time function, we found that it could meet the dynamic process, the velocity change process and the acceleration change process during surface subsidence. Then its rationality had been verified through project cases. The results show that the proposed time function model can give a good reflection of the regularity of surface subsidence in mined-out area and can accurately predict surface subsidence. And the prediction data of the model are a little greater than measured data on condition of proper measured data quantity, which is safety in the engineering. This model provides a new method for the analysis of surface subsidence in mined-out area and reference for future prediction, and it is valuable to engineering application.     

PTS采动沉陷模型研究

在厚冲积层条件下，采动沉陷盆地中基岩上表面形成的下沉空间可以认为是采空区向上传播的结果，也是地表得以下沉的必要条件。由于冲积层结构松散，抗弯能力低。抗剪强度也小，与基岩相比，属于软弱层，而基岩对整个上覆岩层的移动变形及破坏过程起着控制作用，因此，基岩可认为是地表沉陷的控制层。本文采用不同的思路和方法来建立厚冲积层条件下的采动沉陷模型，并推导出了计算公式最后用实例进行了验证。     

Comparison of closure measurements with finite element model results in an underground coal mine in central Utah

Quantitative analysis of mine-wide subsidence at the kilometer scale and details of stress distribution about an advancing longwall face are estimated using an adaptation of the finite element method. The method is well suited to the tasks at hand. For greater realism, variability of strata properties is taken into account as are the effects of joints and cleats on elastic moduli and strengths. Evolution of pillar stress and entry closure remote from the face is readily quantified in a series of analyses that simulate face advance. Computed results compare favorably with the evolution of closure measurements about an instrumented pillar in a two-entry headgate. The appropriateness of the finite element method is confirmed. This method is based on first principles that avoid empirical schemes of uncertain applicability and numerical models ‘‘calibrated" by fitting computer output to mine measurements.     

电力系统故障仿真程序中的暂态计算方法

提出了电力系统故障仿真程序的计算方法。该方法采用电力系统元件的离散化模型和节点分析方法形成系统的网络方程，应用零口器和非口器的处理方法修改网络方程，在每个离散时间步解方程获得系统的母线电压值和出线电流值。该电力系统故障仿真软件已成功地用于就地差别式切机装置测试仪中，计算精度满足工程要求。     

SVM model for estimating the parameters of the probability-integral method of predicting mining subsidence

A new mathematical model to estimate the parameters of the probability-integral method for mining subsidence prediction is proposed. Based on least squares support vector machine (LS-SVM) theory, it is capable of improving the precision and reliability of mining subsidence prediction. Many of the geological and mining factors involved are related in a nonlinear way. The new model is based on statistical theory (SLT) and empirical risk minimization (ERM) principles. Typical data collected from observation stations were used for the learning and training samples. The calculated results from the LS-SVM model were compared with the prediction results of a back propagation neural network (BPNN) model. The results show that the parameters were more precisely predicted by the LS-SVM model than by the BPNN model. The LS-SVM model was faster in computation and had better generalized performance. It provides a highly effective method for calculating the predicting parameters of the probability-integral method.     

Whole-mine subsidence over tabular deposits and related seismicity

The challenge of estimating mine-wide subsidence and linkages to seismicity over tabular deposits is addressed by a special finite element technique(dual node–dual mesh). Subsidence and mine-induced seismicity begins near the face when caving occurs and propagates to the surface as extraction reaches a critical extent. Thus, the challenge is to obtain details at the face at the meter scale and also at the surface over the whole mine at the kilometer scale. Interactions between old and new sections of a mine are automatically taken into account with this technique. The finite element method is well established technology based on fundamentals of physical laws, kinematics and material laws. With this technique, no empirical ‘‘scaling" or fitting computer output by input data ‘‘adjustment" to mine measurements is necessary. Capability is demonstrated for doing practical whole-mine subsidence analysis from first principles. Mine-induced seismicity is shown to correlate well with face advance and element failure.     

简支深梁结构综合离散法的基函数选取与数值分析

对简支深梁结构应用综合离散法计算时,提出了独特的基函数选取方法,并对此结构作了数值计算,与其它有限元法的计算结果十分吻合。