The domain decomposition is a numerically approximating solution to partial differential equations on parallel computers.
区域分解算法是在并行机上求解偏微分方程数值解的一种方法。
Similar method may be applied in other types of partial differential equations.
类似的方法还可以用在其它类型的偏微分方程数值解中。
In the paper, author has studied the inverse problem about a class of quasi-linear partial differential equations of parabolic type by monotone method, proved uniqueness and stability.
本文用单调性方法研究了一个拟线性抛物型方程系教反问题，得到了该反问题的唯一性与稳定性。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
Parameter identification problems belong to the partial differential equations inverse problems. They are also common in the field of natural science and engineering.
参数识别反问题是偏微分方程反问题的一类，也是在自然科学与工程技术的各领域比较常见的问题。
The unsteady partial differential equations for expectation and correlation distributions of the stochastic temperature distribution in a solid are obtained.
给出了在固体中随机温度分布的期望和相关性的一个不稳定的偏微分方程模型。
The use of Partial Differential Equations in image processing is a new research topic.
偏微分方程在图像处理中的应用是一个比较新的课题。
The research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics.
非线性方程解的存在性和唯一性问题的研究是非线性动力学的主要研究内容之一。
In mathematical analysis, an integral transform useful in solving certain types of partial differential equations.
数学分析中的一种积分变换，可用来解决特定类型的偏微分方程序。
Telegraph equations, can be looked as cascade connection of two-port network of lumped circuit of transmission line, is a hyperbolic partial differential equations.
传输线可以看作集中参数二端口网络的级联，其数学模型—电报方程是一阶双曲型偏微分方程组。
First, the partial differential equations are transformed into discrete space, discrete time nonlinear difference equations through characteristic method and finite difference approach.
首先，通过特征线法和有限差分法得到了时间离散和空间离散的非线性状态方程。
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
本文利用物理学中常见的热传导理论，形象地阐释了二阶齐次线性偏微分方程的本质。
According to the invariance theory of partial differential equations under the infinitesimal transformations, the symmetries and conserved quantities of classical fields are studied.
根据偏微分方程在无穷小变换下的不变性理论，研究经典场的对称性质和守恒量。
Locally implicit finite element method is a satisfactory numerical method to solve non-linear partial differential equations for its unconditional stability and its high rate of convergence.
认为局部隐式有限元法是一种绝对稳定的方法，且具有快速收敛的性质，是求解非线性偏微分方程的一种有效的数值算法。
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.
众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。
In this paper we prepare to consider several problems of the partial differential equations by the methods of harmonic analysis.
本文主要是要利用调和分析的方法讨论偏微分方程中的若干问题。
We all know that both finite element method (FEM), symplectic algorithm and multi-symplectic algorithm are powerful tools to solve partial differential equations numerically.
我们知道有限元方法以及辛算法和多辛算法是解偏微分方程数值解的重要方法。
The method of weighted residuals is a mathematic procedure with which approximate solutions can be obtained directly from partial differential equations.
加权残值法是一种可以直接从偏微分方程中求得近似解的数学方法。
According to elastic mechanics theories and fracture mechanics knowledge, the mechanics models for boundary value problem to a class of partial differential equations are presented.
据弹性力学理论、断裂力学知识，给出了该问题的力学模型：一类偏微分方程边值问题。
Classical mathematical equations is the large number of second-order linear partial differential equations.
经典的数理方程大量的是二阶线性偏微分方程。
The groundwater flow is simulated with the seepage model of heterogeneity isotrope, and the partial differential equations are solved with finite difference scheme of irregular triangle net.
以非均质各向同性渗流模型仿真地下水流，用不规则三角网格有限差分法求解三维数值仿真模型。
The adaptive finite element methods are very effective for solving partial differential equations in scientific researches and engineering designs.
自适应有限元方法是科学研究和工程设计领域中非常有效的一种求解偏微分方程的数值计算方法。
The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations.
基本的方法是以双曲型偏微分方程组的简单波解为根据的。
In this paper we improve some key steps in the homogeneous balance method, then by using this method we are able to obtain multiple soliton solutions of some nonlinear partial differential equations.
对齐次平衡法的一些关键步骤进行拓宽，获得了一系列非线性方程的多孤子解，使得对非线性方程的多孤子解的求解方法更加直接，且许多步骤可以利用计算机完成。
The groundwater flow is emulated with the seepage model of heterogeneity anti-isotope, and the partial differential equations are solved with finite difference scheme of irregular triangle net.
本文基于研究区地下水系统概念模型，以非均质各向异性渗流模型仿真裂隙-岩溶水流，用有限元法求数值解。
The result obtained can be used solve other nonlinear partial differential equations.
这些结果说明，所用方法可用来求解一类非线性偏微分方程。
After partial differential equations was changed into cubic algebraic equation, accurate solution of the structure was able to be obtained.
将偏微分控制方程化为三次代数方程，获得结构内力的精确解。
After partial differential equations was changed into cubic algebraic equation, accurate solution of the structure was able to be obtained.
将偏微分控制方程化为三次代数方程，获得结构内力的精确解。
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