查询词典 jacobian method of eigenvalue problem

There is no difficulty for us to solve N-K problem for submerged bodies by the coupled element method, but for wavemaking problems of the bodies piercing free surface, we get a difficult problem of line integral on the free surface when we solve the boundary value problem in the external region by boundary element method.

对于深潜物体的N—K问题，用耦合元方法求解不存在根本性的困难，但对于水面船波兴波问题，采用边界元方法来处理外域中的边值问题而出现了所谓的自由面线积分问题。

With the idea of smoothing Newton method, we propose a new class of smoothing Newton methods for the nonlinear complementarity problem based on a class of special functions. In this paper, complementarity problem is converted into a series of smoothing nonlinear equations and a modified smoothing Newton algorithm is used to solve the equations. We use Newton direction and Gradient direction together in the algorithm which guarantees that our method is globally convergent. Also using another smoothing function, we reformulate the generalized nonlinear complementarity problems defined on a polyhedral cone as a system of smoothing equations and a smooth unconstrained optimization problem. Theoretical results that relate the stationary points of the merit function to the solution of the generalized nonlinear complementarity problems are presented, we use the modified smoothing Newton algorithm in generalized nonlinear complementarity problems, under mild hypothesis, a global convergence is proved.

本文一方面基于现有的各种光滑Newton法的思想和半光滑理论，利用著名的F-B互补函数的光滑形式，首先将互补问题的求解转化为求解一系列光滑的非线性方程组，然后给出了一种修正的光滑Newton法，该方法不仅放宽对函数F的要求，在Newton方程不可解时引入初始效益函数的最速下降方向，而且光滑因子的选择也比较简单可行，同时在适当的条件下，证明了其算法具有全局收敛性；另一方面，借助另一种F-B光滑函数，将多面体锥上的广义互补问题转化为一种光滑形式，讨论了优化问题的稳定点与广义非线性互补问题的解之间的理论关系，并将这种修正的光滑Newton法用于求解广义非线性互补问题中，在适当的条件下，该算法同样具有全局收敛性。

Through adding new state variable and using supplement functions,the problem with restriction conditions was converted into nonrestriction problem.In addition,the dynamic searching method of optimal step coefficient was developed to modify the conventional gradient method,consequently the calculation problem of the multivariable optimal periodic control was able to be resolved better.

通过增加新的状态变量和用补偿函数法，将本课题的有约束条件问题化为无约束条件问题，并提出了最优步长参数的动态搜索法来修改传统的梯度法，从而较完善地解决了多变量最优周期控制的计算问题。

Based on pole model of lathe, thickness of side-board is treated as design parameter. This problem becomes a nonlinear problem, but it may become a linear problem using method of differential coefficient. Through method of calculating energy of sub-structure, thinking of each board separately, so getting final results rapidly.

以机床立柱模型为例，将模型的侧板板厚作为设计参数，并运用微分近似的方法，将非线性问题简化为线性问题求解，推导出了适用于板结构设计的计算公式，并通过计算子结构能量的方法，将每块侧板分开来考虑，降低了对计算机处理能力的要求，从而快速得到最终结果。

In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

重点研究了模型内、外边界及有关参数的处理，针对描述煤层甲烷运移的数学模型是一个复杂、高阶非线性数学模型的特点，详细研究了模型的全隐式求解方法，根据最后形成的代数方程组的复杂性，按交替方向隐式差分格式，采用迭代与全选主元高斯约当消去法相结合的方法求解方程：即确定系数矩阵采用迭代法，求解线性方程组时采用全选主元高斯约当消去法，在研究模型解法的同时按FORTRAN结构化程序设计的要求，编制计算机程序，形成相应的CBMRS计算机模型，并通过模型的运行从理论上证明了模型的正确性与可靠性。

The description methods of natural scenery was studied based on fractal, that is, recursive method, L-system method, IFS and IFS description method was put forward based on sine or cosine. This method overcomes angularity and consistency of recursive method, L-system method and IFS, and the variety of fractal sculpting consequence can be added and the basis for the later research and the application was provided.

对基于分形的描述自然景物方法，即递归洪、L-系统法、IFS法进行了分析研究，在此基础上，提出基于正余弦的IFS描述法，该方法克服了递归法、L-系统法、IFS法等描述方法的生硬性和一律性，增加了分形造型结果的多样性，为以后的深入研究和应用提供了依据。

The CBRC allows commercial banks to implement the internal rating method by stages, however, when a commercial bank obtains the approval for using the internal rating method, its asset coverage ratio calculated according to the internal rating method (risk-weighted assets calculated according to the internal rating method)/(risk-weighted assets calculated according to the internal rating method + risk-weighted assets of other credit risk exposures calculated according to the revised capital supervisory provisions) shall not be lower than 50%, and it shall formulate the plan for the implementation of internal rating method by stages, so as to ensure that the asset coverage ratio reach 80% in three years.

银监会允许商业银行分阶段实施内部评级法，但在获得许可使用内部评级法时，采用内部评级法的资产覆盖率（按内部评级法计算的风险加权资产/［按内部评级法计算的风险加权资产＋按修订后资本监管规定计算的其他信用风险暴露的风险加权资产］）应不低于50％，并制定分阶段实施内部评级法规划，以保证3年内资产覆盖率达到80％。

In chapter 2,all kinds of numerical methods of computational fracturemechanics are summarized,the development histories and present situation ofboundary collocation method,boundary integral method,finite difference method,boundary element method and finite element method are expounded,and theapplication of finite element method in fracture mechanics are emphaticallydiscussed.

第二章 总结了计算断裂力学中各种数值方法，论述了边界配位法、边界积分法、有限差分法、边界元法及有限元法的发展历史和现状，并着重讨论了有限元法在断裂力学中的应用。

The stress analytic method of arch dam covers pure arch method, arch beam sharing method, finite element method, calculating method of shell theory and structural model test method.

拱坝的应力分析方法包括纯拱法、拱梁分载法、有限元法、壳体理论计算方法和结构模型试验法。

In order to verify the method, the comparison among the Tabary slope method, the Bayes function method, the Yamada continuity method and the background error covariance function method is presented. The results show that the background error covariance function method is the best one.

为检验此法效果，利用1999年5月3日到4日奥克拉荷马强龙卷的雷达资料，给出风廓线仪的实测结果对比分析，Tabary的切线拟合方法和条件概率方法，Yamada的连续性检测方法的对比试验及退模糊后的径向速度图。

The changes of the HAF after liver injury may be related to the volume of blood loss, the intraabdominal pressure and the pneumoperitoneum duration.

肝撞击伤伴失血后肝动脉血流量的变化与失血量、气腹压力以及气腹持续时间等有密切联系。

Reneging on our commitments to the world's poor cannot be an austerity measure, she said.

放弃我们给世界上的穷国的承诺不能成为一种紧缩措施。