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At last, we are concerned with the global existence and asymptotic behavior of smooth solution to the initial boundary value problem for the bipolar hydrodynamic model with the Neumann and Dirichlet boundary condition in the one-dimensional case, respectively. The difficulties from the coupled action between electrons and holes are carefully dealt with.

另外，本文也深入研究一维空间双极半导体流体动力学模型初边值问题光滑解的整体存在性及其衰减性，分别讨论了两类在实际应用中重要的边值条件，克服了由于电子和空穴之间的耦合作用所带来的困难。

A scalable parallel algorithm of block tridiagonal systems for solving the boundary value problem of 2D Poisson equation with the Dirichlet boundary condition is discussed.

对二维Poisson方程带Dirichlet边界条件边值问题的离散系统使用块三对角可扩展并行算法求解。

Both the Dirichlet boundary conditions and the Neumann boundary condition are considered.

分Dirichlet和Neumann两种边值条件进行了讨论。

By using the spatial finite sine and cosine transform, and the temporal Laplace transform, the existence of the analytic solutions of its initial-boundary problems in a boundedspace domain with Dirichlet and Neumann boundary conditions is derived.

利用空间有限的sine或cosine变换及时间Laplace变换，给出了该方程有限区间上带Dirichlet和Neumann边界条件的两类初边值问题的解析解。

Compared with the same wave problems with conventional Dirichlet boundary conditions, the absorbing boundary conditions can reduce the numerical reflection on boundaries and avoid solution distortion. In addition, the central differences method is economic in memory requirement and computing time compared with implicit integral method.

结果表明：该解法在空间上具有谱精度，在时间上达到二阶精度；与第一类边界条件相比，吸收边界有效地削弱了边界上的数值反射，避免了解的失真；使用中心差分的时间积分方法同隐式积分方法相比，适合波的传播特性，避免了矩阵求逆运算，并且占用的计算机内存小。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。

Laplace equation; Dirichlet problem;Direct boundary integral equation; Fredholm integral equation of the first kind;Galerkin boundary element method

论文导师祝家麟，论文学位硕士，论文专业计算数学论文单位重庆大学，点击次数 2，论文页数 73页File Size1023k

Many authors posed and discussed some boundary value problems,mainly the Dirichlet problem and mixed boundary value problem for second order elliptic equations with parabolic degeneracy.

许多作者提出和讨论了二阶退化椭圆型方程的一些边值问题，如Dirichlet边值问题和混合边值问题。

Based on the given results of second order boundary value problem, the existence of solutions of nonlinear boundary value problem of Volterra type integro-differential nonlinear equation was established. The uniquess of solution was obtained by applying disproof method.

以二阶边值问题的已知结果为基础，建立了Volterra型积分微分非线性边值问题的解的存在性，再利用反证法获得了解的惟一性。

The method involves an iterative procedure, which incrementally flattens a 3D triangular mesh by region growing and obtains a parameterization with free boundary. The result is then converted to a parameterization with regular boundary by conformal mapping. Our method accounts for both the angle and area distortion during parameterization, it yields a parameterization with less global distortion and no triangular flipping.

采用区域增长算法逐层展平空间三角网格，得到空间三角网格曲面的自由边界的参数化结果，并利用保形变换将自由边界的参数化结果变换为规则边界的参数化结果；同时兼顾了参数化的角度变形和面积变形，使得参数化结果具有整体变形较小的特点，并能够避免三角形折叠的现象。

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员；从各个医疗保险经办机构和定点医疗机构采集数据，包括在各个医疗保险经办机构处理的单位办公信息，单位缴费、欠费、预缴费信息，参保职工变更信息，参保职工增减变动信息，参保职工补缴信息，参保职工帐户划拨信息：包括各定点医疗机构处理的各险种帐户支出信息，各险种的统筹金支付信息等；将采集的数据提取，组织和转换，然后展示给用户。