| 1. | Direct solution method of one - dimensional problem for nonlinear oil - film forces ofsliding bearing
滑动轴承非线性油膜力的一维直接解法 |
| 2. | Direct estimation formulae of least - square kernel estimator of nonlinear semiparametric models
非线性半参数模型最小二乘核估计的直接解法 |
| 3. | The direct method of solution for singular integral equations with solutions having singularities of order one
具一阶奇异性解的奇异积分方程的直接解法 |
| 4. | The results from gps surveying data show that the direct estimation methods considering the second order items can be used in least square kernel estimating of nonlinear semiparametric models
用实测数据进行计算，证明了对于非线性半参数模型最小二乘核估计，可采用顾及二次项的直接解法。 |
| 5. | Firstly , a 1 - d flow numerical model based on the preissmann scheme , a 1 - d rivernet flow numerical model based on the direct solution method and a 2 - d tidal model based on the implicit scheme of finite difference method are programmed
本文首先建立了基于preissmann算法的一维水流模型、基于直接解法的平原河网模型和基于有限节点法的平面二维水力模型，在对各模型的算法进行推导的基础上自行开发了计算程序。 |
| 6. | According to the kernel estimating theory of nonlinear semiparametric models under the least - square principle , the structural formulae of the estimation of parametric and nonparametric components and the direct formulas of kernel estimation considering the second order items were given
摘要基于非线性半参数模型最小二乘核估计，给出了其参数分量和非参数分量估计的构造式，导出了参数分量和非参数分量顾及二次项直接解法的计算公式。 |
| 7. | Based on the traditional transportation problem with the balance of production and sales , this paper puts forward a direct method to solve the transportation problem whose objective is to maximize the problem - the modified tabular method , so as to diminish the calculation work , reduce the difficulty of the problem , and explain the economic value of the calculating process in solving real problems at the same time
摘要从传统的产销平衡的运输问题出发，提出了目标函数为极大化型的运输问题的直接解法修改的表上作业法，可直接求解此类问题，减少运算量，降低应用难度，并在求解过程中明确了求解方法所对应的实际问题的经济意义。 |
| 8. | A new computational formula to nonlinear adjustment by parameters , in consideration of the second - order terms , is derived in this paper from the precise orthogonality condition equations to nonlinear least squares by analyzing the direct solving process and iterative computing method of the linearized model
在分析线性化的非线性参数平差的近似直接解法与迭代解法基础上，利用非线性最小二乘的精确正交性条件方程，推导出顾及到二次项的非线性参数平差的一种新的计算公式。 |
| 9. | Based on the traditional transportation problem with the balance of production and sales , this paper puts forward a direct method to solve the transportation problem whose objective is to maximize the problem - the modified tabular method , so as to diminish the calculation work , reduce the difficulty of the problem , and explain the economic value of the calculating process in solving real problems at the same time
从传统的产销平衡的运输问题出发，提出了目标函数为极大化型的运输问题的直接解法修改的表上作业法，可直接求解此类问题，减少运算量，降低应用难度，并在求解过程中明确了求解方法所对应的实际问题的经济意义。 |
| 10. | In the thesis a new count expression of mesh fractal dimension is introduced , on the basis of it the storage and operation counts of directs solution methods , assembly global stiffness iterative methods and ebe iterative methods have been analyzed and compared , a conclusion has been obtained that the storage and operation counts of direct solution methods is the most , the storage counts of the ebe iterative methods is the least . estimating compute scale for ebe iterative methods at shuguang 2000 parallel computer , it is make out that compute scale is large in the extreme if make the most of the memory of every processor . by analyzing the parallel compute performance of 2d upend - step flow calculation , it is proved that ebe iterative methods can achieve upper speedup rations
本文还提出了一种网格分维新的计算公式，并基于网格分维对直接解法，组集总刚矩阵的迭代解法和基于ebe的迭代解法等三种方法的存储量和计算量进行了分析和比较，得出了直接解法无论存储量和计算量均最大，基于ebe迭代解法存储量最小的结论；在曙光2000并行机上估计了基于ebe迭代解法的计算规模，说明只要充分利用各处理机的内存，可解问题的规模是非常巨大的；对二维倒台阶流并行计算进行了性能分析，表明基于ebe策略的迭代解法能获得较高的加速比。 |
