条件方程

The complex variable boundary element-free method is a direct numerical method of the meshless method of boundary integral equation.

复变量边界无单元法是边界积分方程的无网格方法的直接列式法，容易引入边界条件，且具有更高的精度。

Lions and some other variational methods, we prove the existence of nontrivial solutions of the equations under the Dirichlet boundary condition.

ions的集中紧性原理等变分方法，得到了方程在Dirichlet边值条件下的非平凡解的存在性。

We prove the solvability of the first eigenvalue problem for a class of quasilinear elliptic equations including distance potential with homogeneous Dirichlet boundary condition.

变分原理证明了一类含距离位势的拟线性椭圆方程齐次Dirichlet边界条件下第一特征值问题的可解性。

A scalable parallel algorithm of block tridiagonal systems for solving the initial boundary value problem of 3D-parabolic equation with the Dirichlet boundary condition is discussed.

对三维抛物型方程带Dirichlet边界条件初边值问题的离散系统使用块三对角可扩展并行算法求解。

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。

In chapter 2, we devoted ourself to the research of the existence and uniqueness of a class of diffusive population modle under Dirichlet boundary conditions.

在第二章中，我们讨论一类时滞反应扩散方程在Dirichlet边值条件下，零稳态解和非零正稳态解的存在性及其渐近行为。

In this thesis, we consider the 2D Poisson equation subject to Dirichlet boundary conditions on an irregular domain. The region of interest is embedded in a rectangular domain.

在这篇论文中，我们考虑在不规则区域上有著Dirichlet边界条件的二维Poisson 方程，而此不规则区域将被限制在一个矩形区域中来做计算。

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。

The maximum principles for functions which are defined on solutions of semilinear elliptic equations u+f=0(q=|u|~2)subject to Dirichlet boundary conditions u=0 were studied by using Hopf s maximum principle,the estimate of gradient q was obtained.

运用Hopf 极值原理讨论了一类具有Dirichlet边界条件u=0的半线性椭圆方程Δu+f=0(q=|u|2)的解的某个函数的极值原理，利用该结论获得了解的梯度q的估计。

A parallel algorithm for certain real symmetric block-tridiagonal linear systems on distributed-memory multicomputers is proposed. This algorithm is based on the block factorization of the coefficient matrix. This algorithm is used to solving the block-tridiagonal linear systems resulted from the finite difference approximation to Poisson's equation with Dirichlet boundary conditions. Then we get a parallel algorithm which speedup tends to linear speedup.

7研究了一类实对称块三对角线性方程组的分布式并行求解，提出了一种基于块矩阵分解的高效分布式并行算法，将其应用于求解带Dirichlet边界条件的Poisson方程导出的块三对角线性方程组，得到加速比趋于线性加速比的分布式并行算法，理论上说，这也是并行算法的理想情况。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新