We give exact expressions of the unique solutions for the linear boundary problems by the Green's functions.
研究一类二阶线性常微分方程，给出了所述方程分别在几种边界条件下的格林函数和惟一解的表达式。
It is discusses that the initial-boundary value problem under the third non-linear boundary condition for a kind of semi-linear parabolic equation.
讨论了一类半线性抛物型方程具有第三类非线性边界条件的初边值问题。
The active constraint set was introduced in the nonlinear constraints of the optimization, meanwhile the project gradient method was used to treat the linear boundary constraints.
对于其中的非线性约束采用活动约束集的概念，而对于线性边界约束，则按约束优化方法中的梯度投影法作专门处理。
The linear boundary element method (LBEM) is based on the constant boundary element method (CBEM), it makes boundary element into linear segment from linear interpolating function.
线性边界元法（LBEM）是在常数边界元法（CBEM）的基础上，从线性插值函数出发将边界单元按线性分布来进行处理的一种数值方法。
This dissertation is to discuss the laws of fluids in porous medium for original boundary value problem of some quasi-linear parabolic equations with the third type nonlinear boundary condition.
本文讨论描述流体在稀疏介质中流动规律的一类拟线性抛物型方程具有第三类非线性边界条件的初边值问题。
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
The Boundary element Method (BEM) with linear elements has an advantage in high precision of calculation.
采用线性单元的二维弹性问题边界元法具有计算精度高的优点。
In general situation, the coefficient matrix of linear equations deduced by the Boundary Element Method (BEM) is a compact one.
一般情况下，边界元法所建立的线性方程组系数矩阵为一满置矩阵。
This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.
本篇硕士论文主要研究了一般形式的二阶和三阶非线性和线性差分方程的边值问题。
This paper points out the disagreement of boundary conditions that generate force discontinuity in the linear spring damping contact model by analyzing the contact modulation of the clearance joint.
分析了含间隙运动副副元素的碰撞分离过程，指出线性弹簧阻尼模型不能满足接触边界条件并产生力突变；
Then the definition of boundary value matrix for multi-multiplication interval linear systems is proposed.
对于多乘性区间线性系统，给出边界值矩阵的定义。
According to the critical point theory, a class of problems of elliptic boundary value with an asymptotically linear term and singular term is studied.
利用临界点理论，研究了一类含有渐近线性项和奇异项的半线性椭圆方程的边值问题。
The results show that constant boundary elements have higher accuracy than linear triangular finite elements when they have the same length of side.
结果表明，单元边长相同时，常数边界元比三角形线性有限元的精度要商。
The two different elements can be coupled by allowing the generalized displacement parameter of linear moment to get zero along the common boundary.
并且沿着两个单元的公共边界，将线性力矩单元的有关广义位移参数置零，能够使两个不同阶次的单元互相匹配。
The properties of the proper algebraic boundary point sets of the sets in topological linear Spaces were discussed.
本文主要讨论了线性拓扑空间中集合的固有代数边界点集的性质。
The nonlinear equation group expressed by infinite series was made up in the condition of different water level and recharge quantity on two lateral linear recharge boundary.
对于两侧直线补给边界水位和补给流量不同的情况，建立了无穷级数表达的非线性方程组；
An algorithm is presented for converting the linear quadtree representation of a simply connected region into a 4-direction chain code description of the region's boundary.
本文提出一种算法实现单连通区域的线性四元树表示转换成区域边界的4 -方向链码描述。
Using the interpolation models for both singular crack tip elements and other crack linear elements, the boundary element formulas of the torsion rigidity and stress intensity factors were given.
利用裂纹尖端的奇异元和线性元插值模型，给出了扭转刚度和应力强度因子的边界元计算公式。
The fundamental formulas of generalized indirect BEM for the Poisson 's and linear elasticity problems are proposed initiating from the boundary integral equation.
由边界积分方程推导了泊松问题和线弹性力学问题的广义间接边界元法的基本公式。
In this paper, the deformation of two-dimensional red blood cell in linear shear flow is simulated using the immersed boundary method to observe the tank-treading motion.
本研究采用浸入边界法模拟二维红细胞在线性剪切流中的形变，观测细胞的坦克履带式运动。
Average boundary length and patch shape index have a multiple impact which can make the patch area and boundary number a very good linear relation during the expanding and contracting process.
斑块面积增减过程中形状特征和平均边界长度的复合变化影响导致大型城镇和农业斑块面积和边界数量之间呈简单的线性关系。
The propagation of wave packet produced from a point source in two and three dimensional incompressible boundary layer is investigated numerically on the basis of linear stability theory.
根据线性稳定性理论研究点源产生的波包在二维和三维不可压边界层中的传播特征。
This paper describes the asymptotic and oscillatory properties of solutions of initial boundary value problems of linear and semilinear parabolic equations of second and fourth order.
本文考虑一类二阶及四阶线性和半线性抛物方程初边值问题的解的渐近性与振荡性。
Introducing the boundary conditions of the beam, a set of linear complementary equations is established of the beam on a rigid foundation in terms of foundation reactions and deflections.
通过引入梁的边界条件，建立起一组刚性地基梁关于地基反力和挠度的线性互补方程。
Stress boundary condition in the nonlocal linear elasticity theories is an unsolved problem.
应力边界条件的提法是线性非局部弹性理论尚未解决的一个理论问题。
The Kelvin solution to the static linear elastic problem is used as the weighted function to derive the boundary integral equation for steady-state vibration problems.
本文用静线弹性问题的开尔文解作为权函数导出了稳态振动问题的边界积分方程。
The absorbing wave maker boundary on the left side of the channel is presented by prescribing velocities reference to linear wave-maker theory.
基于线性造波机理论在水槽左端设置了可吸收式造波机数值边界条件。
This paper deals with the static electricity field by conformal mapping for angular space inside an infinite linear charge be located with boundary made in conductor.
对导体平板构成的角域内具有线电荷密度的静电场进行了求解。
The molecule flow diffusion equation and the boundary conditions are given. The solution with linear approximation of entrance pressure is presented.
给出了分子流扩散方程的边界条件，推导出入口压力在线性近似下方程的解。
In order to illustrate the influence of membrane action and its relationship with boundary restraint, all cases have been analyzed using both geometrically linear and non-linear slab elements.
为了阐明薄膜作用的影响及其和边界约束的关系，所有的试验都分别用几何线性以及非线性的板单元进行了分析。
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