这些工作为格林函数快速计算方法的实现以及积分方程的矩量法高效求解打下了基础。
The derivations lay a good foundation for the efficient evaluation of Green's functions and the fast solving of scattering problems by the method of moments (MoM).
利用外点惩罚函数法对回归方程进行优化，得出最佳的结构参数。
The regression equations were optimized through exterior penalty function method. So the best structure parameters were obtained.
最后，应用函数逼近法获得载荷区内载荷分布方程。
Lastly, loading distributive equations were gained by the method of approximate function.
根据相似原理，利用量纲法推导试验函数方程。通过试验对机构参数间关系进行研究并进行预测。
A functional equation can be calculated by dimension on the basis of the similar principles of crab claws, and the relation between the mechanism parameters is studied and calculated by tests.
采用摄动法研究了楔形杆轴的固有纵扭振动，并且推导出了其固有纵扭振动的振型函数及频率特征方程。
The natural longitudinal or torsional vibration of a wedge-shaped shaft is studied with perturbation method. The vibration mode function and the frequency characteristic equation are derived.
用基于张量格林函数的体积分方程法对层状地层中一个油藏的动态变化过程进行了瞬变电磁响应的正演模拟。
The volume integral equation method based on tensor Greens function is used to modeling the transient electromagnetic responses from a reservoir in a layered formation.
本文通过有限元法求解用流函数表示的拉普拉斯方程，进而计算轴流式机组的静态轴向水推力。
In this thesis, the Finite Element Method is applied to the solution of the Laplace equation formulated by means of stream function for the calculation of the static hydraulic thrust.
快群方程用格林函数节块法进行求解。
The fast group equation is solved by the Green's function method.
写出阻尼谐振子的哈密顿函数，对其直接量子化，用分离变量法得出了薛定谔方程的解。
The Schrdinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator, and its solution is obtained by the separation of variables.
利用待定函数法研究了非线性轨道微分方程的解析解，求出了一类情形下的四类解析解。
In this paper , the undermined function method has been used to study the analytic solution of nonlinear orbit differential equation. In a case four kinds analytic solution are given.
利用边界层函数法研究了一类非线性三阶微分方程的奇摄动边值问题。
Use the method of boundary layer functions to study the singularly perturbed boundary value problem for a kind of third order nonlinear differential equations.
介绍了求变截面梁挠曲线方程的奇异函数法。
Singular function method is introduced to derive the deflection equations of beams of variable cross section.
模型中水动力方程和泥沙扩散方程均采用幂函数方案的有限体积法离散。
In the model, the finite volume method discrete of power function is adopted for the hydrodynamic and silt diffusion equations.
本文使用余函数法和LKP状态方程对热物性参数进行焓熵计算，将计算结果与国外实验结果进行对比并判断其精确程度。
This article adopts Yu function method and LKP state equation to calculate enthalpy and entropy, compares the calculated results with experimental results and estimates the precision of the methods.
采用复变函数将系统的动力学方程简化，利用谐波平衡法分析了系统的稳态解，得到了系统的幅频响应。
The stationary solution of system was solved by harmonic balance method, and the amplitude-frequency response was presented.
针对光学零件的加工，集成了基于光学普适方程的直接函数插补法。
A direct interpolator based on universally optical equation is also integrated in this control board.
针对这一优化问题，通过引入非线性互补问题函数，将原优化问题转化为非线性方程组，并采用半光滑牛顿法进行求解。
By introducing nonlinear complementarity problem function, the original optimization problem is transferred equivalently to a set of nonlinear equations and solved by semi-smooth Newton method.
研究了常压下甲醇气相法脱水生成二甲醚的宏观动力学，得到幂函数型动力学方程。
Global kinetics of methanol dehydration to dimethyl ether by gas phase method were studied under atmospheric pressure and power type kinetic equation was obtained.
基于循环函数法的主导思想，通过对“加热单元”列能量平衡方程，构建了循环函数法的矩阵表达式，并对矩阵填写规则进行了详细阐述。
Based on the thermal balance equation of heater element, the matrix for the cyclic functional method is established and the rules to fill this matrix are represented detailedly in this paper.
用解析法设计函数生成机构，要解决的关键问题是两连架杆位置方程式的求解。
The key problem to be solved in establishing function resultant mechanism by analytic method is to calculate the equation of two connected rod clevis.
利用精确度高的P - R状态方程和M -H81状态方程，采用余函数法对制冷剂的比定压热容进行了理论推算和比较分析。
Based on P-R equation of state and M-H81 equation of state with high accuracy, detailed calculation and analysis were made by utilizing residual function method.
从环板的平衡方程出发，应用奇异函数法计算其在最大弯矩极限条件下的极限荷载。
Based on the equilibrium equation of annular plates, the limit loads of annular plates under ultimate condition of the maximal moment were calculated by singular function.
将中子伴随通量方程变换处理以后，利用格林函数节块法的原理求解中子伴随通量，以此代替过去采用最多的细网有限差分法。
A coarse mesh method, in which the theory of nodal Green's function method is adopted, is applied to get the adjoint neutron flux, after a transformation of adjoint flux equations has been made.
用格林函数节块法求解圆柱几何中子扩散方程时，可用平板几何格林函数代替复杂的圆柱几何格林函数。
The Green's function in Cartesian geometry can be used to replace the complex Green's function in cylindrical geometry when solving the neutron diffusion equation in cylindrical geometry.
而迭代法主要是以数理统计和罚函数法为基础来建立修正方程，阐述了罚函数法和最小方差法等修正方法。
The iterative methods ate mostly based on the statistics and the penalty function, including the penalty function methods and the minimum variance methods etc.
文中给出了流函数方程及边界条件的坐标转换形式和离散格式，采用了强隐式(SIP)迭代法，分别对具有弓形和半弓形突体的直管进行了计算。
In this paper, the transformed forms of the flow function equation and boundary conditions and their difference expressions are given, and Strongly Implicit Procedure (SIP) iteration is used.
此外，利用了WENO法求解等位函数方程的空间离散项。
In addition, the WENO method may solve the space discrete items of the level set equation.
构造一个光滑化函数逼近NCP函数，利用光滑化牛顿法求解此非光滑算子方程。
A smoothing function which can be approximated by NCP-function is given and the smoothing Newton method is applied to resolve this nonsmooth operator equation.
构造一个光滑化函数逼近NCP函数，利用光滑化牛顿法求解此非光滑算子方程。
A smoothing function which can be approximated by NCP-function is given and the smoothing Newton method is applied to resolve this nonsmooth operator equation.
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