查询词典 numerical computation

Our work involves the theories of numerical analysis, matrix computation, abstract algebra, control theory and algebraic Riccati equation.

课题的研究涉及到数值分析，矩阵计算，抽象代数，控制论等重要学科。

A new computation expression is presented in order that the process for huge matrix inversing could be avoided and the numerical accumulated error could be decreased also.

提出了一个新的当网格单元形状为不规则三角形时的计算格式，避免了对大型矩阵的求逆运算。

Experimental results in TiGems7.0 illustrate that this algorithm is independent of the numerical error accumulated in intersection computation, and can implement the data exchange of IGES B-rep model built by different CAD systems such as SolidWorks and Pro/E.

在TiGems7.0系统中的实验结果表明，该算法不依赖于求交运算中造成的数值误差，具有较好的鲁棒性，能够实现IGES的边界表示格式在SolidWorks，Pro/E等系统中的数据交换功能。

A two-steps numerical method has been used to deal with this process. In every computation time-step, two phases are used: the first one is the adiabatic expansion and cracking phase; the second one is the phase of absorbing laser energy.

采用两步数值计算方法处理等离子体微滴的爆炸过程，即在每一个数值计算时间步长内，将爆炸过程分为两步，第一步处理微滴的绝热膨胀及裂解过程；第二步处理微滴对激光脉冲能量的吸收过程。

According to the present situations of the two production lines and the temperature needed by the producing technics of the heat-exchanger , using the numerical simulation with the Airpark software to analyze the reason why the cooling system can not meet the technicals requirement; with the heat transfer theory computation based on the heat transfer principle, the technical parameters of the cooling sect refer to the system technic and configuration are obtained. That are made for reasonable organization of the airflow of the cooling system and the new cooling equipment achieving the technical requirement. At the same time, it will ease the thermal pollution of the circumjacent environment and improve IAQ of the workshop

根据某厂两条换热器生产流水线的现状和冷却降温的工艺要求，用Airpark 软件进行数值模拟，分析了冷却系统无法满足工艺要求的原因；运用传热学原理进行了设备与环境的传热理论分析和计算，分析了冷却系统无法满足工艺要求的原因，得出了改造所需要的技术与结构参数，并对冷却系统进行合理布局与气流组织，使新的冷却系统发挥了应有的作用，满足了生产工艺的要求，同时也减轻了生产环境的热污染，提高了环境的空气品质。

The computation of two-dimensional advection transport using current methods such as Alternating Direction Implicit Method and linear interpolation technique can be subject to numerical attenuation,parasite oscillation and poor reproduction of wave propagation when large time steps are used.

在概化的平面区域内，采用上述方法模拟了二维初始浓度高斯分布和水流激波在旋转速度场及均匀速度场上的对流输移问题，结果表明方法在优化幅值衰减和数值扰动以及计算效率方面具有相当的发展潜力和应用前景

Compared with traditional numerical methods, the LB method has several important features, including: simplicity in algorithm, easily programming, direct calculation of pressure from a state equation and amenability to simulate all kinds of flow field with complex boundaries, it also has many advantages in the respect of parallel computation because of its regional evolution.

与传统的计算方法相比较，LB方法具有算法简单、编程容易、压力可以通过状态方程直接求解、能够模拟各种复杂边界的流场等优点，并且计算的局域性使其在并行计算方面也具有很大的优势。

Compared with traditional numerical methods such as the FEM, FDM, etc, the LB method has several important features, including: simplicity in algorithm, easily programming, direct calculation of pressure from a state equation and amenability to simulate all kinds of flow field with complex boundaries, it also has much advantage in the respect of parallel computation because of its regional evolution.

与传统的计算方法如FEM、FDM等相比，LB方法具有算法简单、编程容易、压力可以通过状态方程直接求解、能够模拟各种复杂边界的流场等优点，并且计算的局域性使其在并行计算方面也具有很大的优势。

Although the Preissman scheme of KP equation is multisymplectic, it took too efforts to realize, Hence we elimate the auxiliary variable by a trivial computation and obtained the multisymplectic forty-five points scheme of KP equation. And then, we test this forty-five points scheme on soliton and solitary waves over long time intervals, the numerical results shows the propagation and interact of soliton and solitary waves.

但是在实际的数值实验中，由于需要计算共轭动量的值，Preissman格式需要占用的计算内存比较大，计算时间比较长，因此我们在数值格式中消去共轭动量，最后得到与多辛Preissman格式等价的一个多辛45点格式，我们用这个格式进行了数值实验，数值实验结果很好地显示了孤立子和孤立波的传播与碰撞。

The tracer migration that the tracer concentration continuously injecting into semi-infinite sand column(initialization velocity is zero) and the pollutant continuously enter into aquifer through a discharging well that completely enter into the dive aquifer are two representative groundwater pollution problems ,Then this paper respectively sets above two decided solution problems and the union simulation problem of groundwater and solute as examples, from the question description, the mathematical model selection and determination, the parameters selecting to carry on the value computation, the read-write of attribute data , visualizes by the IDL programs, carries on the numerical simulation and the visualization post-processing to the above groundwater pollution problems, and according to the numerical solution and the solute migration curves, briefly analyzes and predicts the temporal and spatial distribution features and distribution range of contaminant concentration.

然后分别以半无限长沙柱中连续注入示踪剂浓度的运移、污染物通过一完全进入潜水层的排放井连续进入含水层这两个典型地下水污染定解问题及地下水流和水质联合模拟问题为例，从问题描述、数学模型选取确定、参数选取到运用IDL编程进行数值计算、属性数据读写、可视化，对上述地下水污染问题进行数值模拟和可视化的后处理，并根据数值模拟的数值结果和溶质运移曲线，对污染物浓度的分布范围及随时空变化趋势作了简要分析预测。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。