The key technologies of super-resolution restoration for underground mine surveillance images are researched by using of the theory of partial differential equation, non local means, fuzzy set and Markov random field.

The Galerkin approach is employed to deduce a two-degree-of-freedom nonlinear system under the combination of the parametric and external excitations from the governing partial differential equations.

采用Galerkin法对偏微分方程进行离散，得到包含外激励和参数激励的二自由度控制方程。

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The properties of Quasi shannon wavelet was studied in this paper, and a wavelet collocation method for partial differential equations was conducted.

第一、研究了拟Shannon小波的性质，构造了求解偏微分方程的拟Shannon小波配置法，同时将外推法引入小波配置法，进一步改善了该方法的计算效率和计算精度。

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Concerning the defects of Logarithmic Image ProcessingTotal Variation ( LIP_TV) denoising model, an improved Partial Differential Equation ( PDE) image denoising method based on LIP was proposed.

针对对数图像处理-全变分（LIP TV）去噪模型存在的不足，提出一种改进的LIP偏微分方程去噪方法。

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Discussed the augment lagrange multiplier algorithm for a class optimal control problems governed by PDEs gave the finite element discretization and its parallel implementation.

讨论了一类由偏微分方程导出的最优控制系统的增广Lagrange乘于算法，给出了有限元逼近及其并行实现算法。

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Mart is a network-based PSE for solving partial differential equations ( PDEs). It is a Java-based protocol.

Mart是一种新的基于网络的、用来求解偏微分方程的PSE，是一种基于Java的协议。

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Jacobi elliptic function is very useful for solving nonlinear partial differential equation ( s).

Jacobi椭圆函数在求解非线性偏微分方程（组）中具有重要作用。

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Partial differential equation ( PDE) has become an important tool in image processing and analysis.

偏微分方程（PDE）已成为图像处理与分析中的重要工具。

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The Construction of Analytic Solutions for Cauchy Problem with System of Third Order Linear Partial Differential Equations

三阶线性偏微分方程组Cauchy问题解析解的结构

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Applications of Expansion Method About the Jacobi Elliptic Function of Nonlinear Partial Differential Equations

Jacobi椭圆函数展开法在求解非线性偏微分方程组中的应用

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Then the author describes an algorithm of surface reconstruction based on the PDE method.

接着，重点描述了一种根据偏微分方程曲面造型的特点，利用PDE方法进行散乱数据曲面重构的方法。

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Equality between wu-characteristic sets and Janet bases for linear homogeneous partial differential equations

线性齐次偏微分方程组吴特征列和Janet基的等价性

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Efficient implementation of fully implicit Runge-Kutta methods and its application to time-discretization PDEs

全隐Runge-Kutta法的有效实现及其在偏微分方程时间离散化中的应用

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The fourth is anisotropic diffusion and total variational method based on PDE.

第四类就是基于偏微分方程（PDE）的各向异性扩散法[4]和总变分最小化法[5]。

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The solution for a class of integral partial differential equations in Robin boundary condition

Robin边界条件下一类积分偏微分方程的解

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H~ ( 3/ 2)( q)-solution of system of integro-differential equations for nonstationary population evolution process

非定常人口发展过程的积分-偏微分方程组的H~（3/2）（Q）-解

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The Lattice Boltzmann Method for Conservative Law Partial Differential Equations

守恒律偏微分方程的格子Boltzmann方法

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Interpolation Wavelet Galerkin Method for Solution of the PDEs Boundary Value Problems

插值小波Galerkin法解偏微分方程边值问题

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It is a partial differential equation satisfied by the electric field E.

这是一个，由电场E确定的偏微分方程。

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REDUCE Software Package of Solving Lie Symmetry of Ordinary& Partial Differential Equation

求常、偏微分方程Lie对称的REDUCE软件包

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It has been indicated from the theoretical and experimental results, that image processing by PDEs model is an effective tool.

理论和实验结果表明，应用偏微分方程模型进行图像处理是一种有效的工具。

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