查询词典 calculus of finite differences

But the finite difference methods require that the computational domain is regular, and usually people construct the finite difference scheme for one dimension and then extend it to two or three dimensions in a dimension by dimension fashion.

有限差分方法要求计算区域比较规则，随着工程问题的复杂化，计算区域也变得复杂，这对数值方法提出了新的挑战。

In Chapter 4 and Chapter 5, we discuss the quadratic finite element space with Regular mesh and the one with Criss-Cross mesh. We can respectively obtain the finite element asymptotic expansions and extrapolations in these situations. The high accuracy combination formulas are constructed.

在本文的第四、五章中，我们将在第二、三章中所使用的方法分别推广到Regular网格与Criss-Cross网格下的二次有限元空间中，得到了这两种情形下的有限元的渐近展式与外推结果，并构造出了相应的高精度组合公式。

The results of this paper show that the classical regularity condition or quasi-uniform assumption on the triangula-tion meshes is not necessary to the finite element analysis and thus the scope of finite element application is extended.

以上结果表明，传统有限元的正则性条件或拟一致假设对有些问题来说是不必要的，从而拓宽了有限元的应用范围。

In this paper,the author give the spectra characterizations of nonsigular feedback polynomials and local permutation polynomial s over finite fields and residue class rings,and simplify existing results over prime fields,and provide a new proof method for the spectra characterization of correlation immune functions over finite fields and residue class rings.

本文给出了有限域和剩余类环上非线性反馈移存器的非奇异反馈多项式及局部置换多项式的谱刻划，简化了素域上的现有结果，并对有限域上和剩余类环上相关免疫函数的谱特征给出了一个新的证明方法。

Based 188F gasoline engine heat load studies, the research unit based on Using AutoCAD software for the design cylinder sleeve, and then use the software PRO-E 3D modeling, and the calculated and experimental analysis to determine the reference cylinder heat transfer across borders, reuse finite element analysis software ANSYS right cylinder mathematical analysis, systematically on the finite element method in 188F cylinder gasoline engine design of the application, in-depth study of the thermal load on the performance and reliability, as relates to structural strength, stiffness, temperature and so on.

本文以188F汽油机热负荷为研究对象，在研究整机的基础上，利用AUTOCAD软件进行汽缸套的设计，然后用PRO-E软件进行三维建模，并通过计算解析和实验参考确定了气缸套各处的传热边界条件，再利用有限元分析软件ANSYS对气缸套进行数学分析，系统地探讨了有限元法在188F汽油机缸套设计中的应用，深入研究了其热负荷对性能和可靠性的影响，内容涉及到结构强度、刚度、温度场等方面。

The result shows that Ritz finite element method is suitable for deep excavation dewatering calculation, and Galerkin finite element method maybe put into practice after well system is simplified.

比较分析结果可知，本文运用的里茨有限元法适用于深基坑降水计算，而运用迦辽金有限元法需对井点进行处理，才能用于实际计算。

In reference of the results of studying the finite element software and based on the derived formulae, a finite element software with new characteristics for the interaction of vehicle running gear and terrain is designed and developed.

在参考有限元软件的研究成果的基础上，根据推导的有关公式，设计、编制和调试了具有新特点的车辆行走机构与地面相互作用问题的有限元软件。

If theharmonic index is finite,then each end may be represented by a non-constant positiveharmonic function,and these functions compose a partition of unity.For minimalhypersurfaces with finite total scalar curvature,we can explicitly estimate the harmonicindex.Moreover,the space of bounded harmonic functions are exactly generated bythose functions associated to each end.This gives geometric interpretations of the ends.

若调和指标有限，则每个端均可由一非常值的调和函数代表，它们形成了一个单位分解，对于全纯量曲率有限的极小超曲面，我们明确地估计了调和指标，进一步，有界调和函数正好由代表端的那些调和函数所生成，这就给出了端的几何解释。

In order to solve the repeat modeling in the process of the hull scantling rule check,finite element analysis and production design,the some key technology about the transfer of ship initial scantling model to finite element model is studied.

针对目前船体结构规范计算、有限元分析和生产建模过程中存在的重复建模的问题，研究了船舶初步结构设计模型向有限元模型转换中的几项关键技术，提出了模型转换的方法，开发了模型转换软件，并在16 500t液化气船上进行了局部应用，收到了一定的效果，值得进一步推广应用。

In view of the questions in theoretic analysis and numerical simulation with the finite element method,the separation criterion of chips, the surface contact, the setting of friction coefficient,and the thermal stress coupling are researched. A simulation example is presented by applying the finite element analysis software-ANSYS,and the change of stress and strain in metal cutting process, the forming of shear plane and the influence of the temperature field on metal cutting are analyzed. The tool's strength is also analyzed.

基于理论分析和实际有限元数值模拟计算中遇到的问题，研究、讨论了切屑分离标准、表面接触、摩擦系数的设定、切屑与工件之间的连接以及热应力耦合分析等各项技术，并应用大型有限元分析软件ANSYS，具体分析了金属切削过程中应力和应变的变化、剪切面的形成以及温度场对金属切削的影响，并依此对刀具作强度分析，得到若干结论。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。