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。
Many of these models can be described properly by nonlinear partial differential equations.
其中很多模型可以用非线性偏微分方程来很好地描述。
It is a very efficient tool to numerical calculate partial differential equations on any shape of domain.
它是在任意形状的区域上求偏微分方程的数值解的一种非常有效的工具。
In the chapter 1, we introduce some methods to study the exact solution of nonlinear partial differential equations.
第一章中我们简述了一些研究非线性偏微分方程精确解的方法。
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。
The forced oscillations of boundary value problems of a class of functional partial differential equations are studied.
通过研究一类高阶泛函偏微分方程边值问题的强迫振动性，建立了边值问题解的振动的充分条件。
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。
This model consists the hyperbolic partial differential equations, boundary conditions and cyclical conditions of the system.
该模型由描述系统振动的双曲型偏微分方程组及相应的边界条件和周期性条件组成。
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。
Many problems in the field of science and engineering can be attributed to study of the nonlinear partial differential equations.
自然科学和工程技术中的许多问题都可归结为对非线性偏微分方程的研究。
As the same as finite element method, the finite volume method is also a numerical method for solving partial differential equations.
有限体积法现在已经成为和有限元方法并驾齐驱的一种求解偏微分方程的数值方法。
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。
Sufficient conditions are established for the oscillation of systems of second order partial differential equations with functional arguments.
建立了具泛函变元的拟线性偏微分系统解振动的充分条件。
In this paper we study the forced oscillations of boundary value problems of a class of higher order functional partial differential equations.
本文研究一类高阶泛函偏微分方程边值问题的强迫振动性。
The oscillations for a class of nonlinear neutral delay partial differential equations with continuous distributed deviating arguments is discussed.
研究一类具有连续分布偏差变元的高阶非线性中立型时滞偏微分方程，获得了方程解振动的一些新的判定准则。
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。
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。
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。
Geodesics on smooth surface have many good geometric properties and there are equivalent partial differential equations and analytical methods solving it.
测地线在光滑曲面上有很好的几何性质，也有相应的测地线偏微分方程表达以及一些解析的方法来求解。
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。
The mathematical model describing the profiles of concentration in the cylindrical catalyst is the nonlinear partial differential equations of second order.
在圆柱状催化剂内的浓度分布的表征方程为二阶偏微分方程组。
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。
In this paper, some sufficient conditions are obtained for the oscillation solutions of systems with high order partial differential equations of neutral type.
本文获得了一类中立型偏微分方程系统解振动的若干充分条件。
The governing partial differential equations were discretized by finite volumes and the nonlinear algebraic equations were solved by a block implicit algorithm.
用有限体积法离散控制方程，用块隐式法求解离散后的代数方程组。
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。
Based on partial differential equations (PDE), we propose a novel image magnification approach which consists of oriented diffusion, fidelity term and shock filter.
提出一种新的基于偏微分方程(PDE)的图像放大算法。算法模型由方向扩散、保真项和冲击滤波构成。
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。
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。
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