It has feature of small volume , high loading capability , wide power range , low noise , high efficiency , flexible in alternating directions freely , etc 它具有体积小承载能力大功率范围广噪声低效率高，任意转换方向等特点。
An analysis on the rate of convergence of an alternating direction characteristic finite element method for 3 - d compressible flow of contamination from nuclear waste 三维可压核废料污染问题的交替方向特征有限元格式的敛速分析
Abstract : this paper discusses the different differential methods of alternating direction implicit method with initial condition and boundary conditions in detail 文摘:详细地研究了各种情形的求解二维抛物型方程初边值问题的交替方向隐式差分法。
According to actual situation of production wells , external boundary conditions and coupled inner boundary conditions between welibore and adjacent rocks , welibore and production zones , adjacent rocks and production zones are constructed , and an alternate direction implicit finite difference algorithm ( adi ) is used to solve temperature models 根据生产井的实际情况，构建起外边界条件以及井筒与围岩、井筒与产层、围岩与产层之间的耦合内边界条件，采用交替方向半隐式有限差分方法( adi方法)求解所建立的井下温度场模型。
From the exact expression of the field , we obtain a multipole polynomial expansion , and under the paraxial condition we furthermore obtain the approximate expression . the loffe trap , consisting of two coils with parallel currents and four straight conductors with currents in alternating directions , is one of the most important traps . we specially study the field structure of it by using both the exact expression and a multipole polynomial expansion that facilitates studies of classical or quantum orbits . if the region near the origin is of interest , we may obtain a simple expression of the field and this configuration may be called idealized loffe trap 若只讨论阱中的近原点区域时，阱中的磁场可以呈现出一种简洁的形式，人们把它称为理想ioffe阱。磁矩反平行于磁场的中性粒子在阱中与磁场发生相互作用，借助相互作用势，可以获得粒子在阱中的经典运动方程。在一定的近似条件下，我们可以采用逐次近似的方法，使方程简化，其中三个分量式中关于z的方程比较容易求解，而关于x 、 y的方程则演化为我们熟悉的马丢方程的形式。
Stsggered grid system is used in derivation of discretized equations and alternating direction implicit method is appilied in equations ' s caculation in the paper . in order to ensure stability and accuracy of numerical calculation , i adopt semi - implicit method for pressure - linked equations that is very popular so far 本文在对方程离散时采用了交错网格技术，在对离散方程求解时则采用了交替方向叠代技术( adi法) 。为保证数值计算的稳定性和精确性，采用了目前较为流行的simple类计算程序。
An extended hyperbolic mild - slope equation , which can take such terms as wind input , bottom friction and nonlinearity of wave into account , here has been deduced into a parabolic one in the form of a series of governing equations described with complex amplitude . it became a complete wave model when integrated with corresponding physical and imaginary ( open ) boundaries , and can be solved through the improved crank - nicholson or the well known alternating direction implicit ( adi ) difference method , both of which can accelerate the convergent speed , expand limitation of the mathematical method and improve the quality of the solution 本文基于综合考虑底摩阻、风能输入及非线性影响的推广双曲型缓坡方程，将其进行转换，产生一个演变方程，其复振幅控制方程为抛物线性，并采用adi差分格式、改进的crank - nicholson格式及相应的物理和虚拟(开)边界条件进行求解，以提高数值模拟的适用性、数值计算的稳定性、收敛速度及精度。
This thesis contributed to the comprehensive study of the finite - difference time - domain ( fdtd ) method and its application to the numerical computation of radiated electromagnetic fields in switched mode power supplies . the work includes mainly three parts : the study on the performance of pml absorbing boundary condition applied to pseudo low frequency electromagnetic problems ; the validation of the fdtd method with pml absorbing boundary conditions and the corresponding computer software based on the numerical study of the electromagnetic field of an electric dipole antenna , and its application to the numerical computation of radiated electromagnetic fields in switched mode power supplies ; the development of an improved alternating direction implicit finite - difference time - domain method 在综合前人工作基础上，本文对时域有限差分( fdtd )法及其在开关电源辐射电磁场数值计算中的应用进行了系统的分析和研究，其核心内容包括：伪低频电磁场数值计算中pml吸收边界条件性能的研究；基于基准问题?电偶极子天线三维辐射电磁场，验证了本文构造的基于pml吸收边界条件的三维fdtd法及其计算软件，并应用于高频开关电源辐射电磁场的数值分析；提出了一种改进的交替方向隐格式时域有限差分法。
The effect of electric field in the polarizer in the research of laser induced damage was analyzed , and on the basis of it , low losses laser polarizer was designed . based on the analyses , temperature distribution of optical film layers irradiated by the laser pulse was calculated with the alternating direction - implicit technique . from the results , we adjusted the technique parameters 分析了薄膜内电场分布对辐射稳定性的影响，并在此基础上，设计了低损耗的激光偏振膜；从温度场设计的角度出发，利用交替方向隐式原理编制了膜层内温度分布数值计算程序，通过计算薄膜热参数对膜层内温度分布的影响，对沉积工艺进行了相应的调整。
Based on the fundamental theory of dynamics of soil moisture and the condition of water storage pit irrigation , numerical modeling of soil moisture movement of single water storage pit in heterogeneous soil is established . adi ( alternating direction implicit method ) and gauess - seidel iterative method are used to solve it . by using the simulated value of modeling , the relation of water injection volume and maximum horizental distance of moisture frontal are concluded . according to the relation , interval of pits are derived . then , after analyzing the infiltration characteristic of soil moisture under the condition of interference infiltration in multi storage pit , numerical modeling of soil moisture movement of multi water storage pit in heterogeneous soil is established , and its numerical solution is also acquired 利用adi (交替方向隐式差分法)结合gauess ? seidel迭代法对模型进行数值求解。利用模型的计算结果得出了单坑注水量与湿润锋最大水平推进距离之间的关系，并据此确定了坑距。在此基础上，通过对多坑干扰入渗条件下土壤水分入渗特性进行分析，太原理工大学硕士研究生学位论文建立了蓄水多坑非均质土壤水分运动数学模型，并对其进行数值求解。
