抛物型偏微分方程

采用最佳摄动量算法对数据有扰动的抛物型偏微分方程的扩散系数识别反问题进行了求解，并对该算法应用中正则参数与迭代次数及初始迭代点的选取进行了初步研究；

The best perturbation method is applied to solve inverse problems of determining coefficients in parabolic PDE in the presentation of noise data .

抛物型偏微分方程的EFG方法及其误差估计

EFG Method of Parabolic Partial Differential Equation and Error Estimate

用EFG法解抛物型偏微分方程全离散的误差估计

The Fully-discrete Error Estimation in Solving the Parabolic Partial Differential Equation with EFG ( Element Free Galerkin ) Method

考虑含有迹类泛函系数的散度形式非古典抛物型偏微分方程Cauchy问题的解的存在性和唯一性，其中方程的系数包含u关于空间变量x的有限阶导数的迹类泛函。

Considered is the Cauchy-problem of an one-dimensional non-classical divergence type heat equation where the coefficients involve the trace type functional of finite order derivative of u in x. The existence and the uniqueness are obtained .

本文研究一类抛物型偏微分方程点热源反问题，其中，所讨论的抛物型偏微分方程的热源项与Dirac分布的线性组合有关。

In this thesis we present a class of inverse point-wise heat source problem of parabolic partial differential equation , whose source term is the linear combination of some Dirac distributions .

非局部初边值条件下的抛物型偏微分方程

Parabolic Partial Differential Equations with Nonlocal Boundary and Nonlocal Initial Conditions

一类时滞抛物型偏微分方程的数值稳定性分析

Stability Analysis for a Kind of Delay Parabolic Partial Differential Equation

解抛物型偏微分方程奇异摄动问题的变分&差分方法

Variational-difference method for solving singular perturbation problem of the parabolic partial differential equation

抛物型偏微分方程一类边值问题解的性质

Properties of Parabolic Partial Differential Equation of the First Kind Boundary Condition Problems

一维抛物型偏微分方程的多重网格解法和模型问题分析

A Multigrid Method for Solutions of One-Dimensional Parabolic Partial Differential Equations and Model Problem Analysis

带有几个小参数的抛物型偏微分方程混合问题的差分解法

The difference method for solving singular perturbation problems of the parabolic partial differential equations involving some small parameters

很多领域的工程瞬变问题（其中包括电磁场瞬变问题）从数学模型上可以归结为抛物型偏微分方程的初边值问题。

Mathematically , many engineering problems are described by the differential equation , which includes the transient electromagnetic problem .

抛物型偏微分方程反问题解的唯一性抛物型方程的一种高阶并行差分格式

Uniqueness of A Class of Nonlinear Parabolic Inverse Problems ; A High Order Parallel Difference Scheme of Parabolic Equation

结论充分表明了时滞量的决定性作用，指出了其与普通抛物型偏微分方程质的差异。

The results fully indicate that the oscillations are caused by delay . The results indicate that : The results indicate .

第三部分对抛物型偏微分方程的初值问题进行了研究，并得出其解具有概周期性的结论，这一结论也将在后面的定理证明中被用到。

The third part solves that the solution of the parabolic partial differential equations initial value problems is almost periodic type solution .

本文提出了一种适合在小型混合计算系统上求解抛物型偏微分方程及方程组的分时迭代法。

An iterative time-sharing method suitable for the solution of parabolic differential equations on a small scale digital-analog hybrid computing system is presented .

二阶椭圆和抛物型偏微分方程的非线性非局部边值问题与温控系统稳定性

The nonlinear and nonlocal boundary value problem of the second order partial differential elliptic and parabolic equations and the stability of systems of temperature control

在相应的基本假设下，美式期权的定价模型是一个抛物型偏微分方程自由边界问题，而永久美式期权的定价模型是一个常微分方程自由边界问题。

The models of American option and perpetual American option are a free boundary problem of parabolic partial differential equation and ordinary differential equation respectively .

应用相关的势算子理论对抛物型偏微分方程的泛函存在条件及变分定理进行了较系统的讨论，进而指出了时间步进有限元法各种处理方法的理论依据。

Furthermore the existence condition and the variation principle of the differential equation are discussed , and the theory gist of the step-time technologies is presented .

本文针对化工计算中常常遇到的二阶抛物型偏微分方程的数值求解问题，研究了一种有效的数值方法&线上求解法。

An effective numerical method & the method of lines was studied for the numerical solution of two-order parabolic partial differential equations occurring frequently in chemical engineering calculation .

用逼近的方法，证明了一类具有无界系数的抛物型偏微分方程自由边界问题古典解的存在性。

By using approximating methods the global existence of the classical solution is proved for a free boundary problem which can be modelled by parabolic equation with singular term .

本文利用完全耦合的正倒向随机微分方程，对一类耦合了一个代数方程的二阶拟线性抛物型偏微分方程系统，给出概率表示。

This paper gives the probabilistic interpretation for one system of the second order quasilinear parabolic partial differential equations combined with an algebra equation using fully coupled forward-backward stochastic differential equation .

根据地层与水井中热传导机理建立了注水井地层带温度场的数学模型，给出了该抛物型偏微分方程的初始条件和边界条件，并讨论了其数值算法；

According to the mechanism of heat conduction and heat mass transfer , this paper establish a mathematical model about the temperature field , and gives its initial and boundary conditions and a numerical solution method .

采用求解椭圆型和抛物型偏微分方程的方法及多块网格技术，生成机翼／机身／短舱／挂架复杂组合体外形的贴体及与边界正交的计算网格。

A body fitted orthogonal grid around complex configurations including wing , body , pylon and nacelle has been successfully generated by applying the multi block grid technique and the method of solving elliptic and parabolic partial differential equations .

本文讨论了抛物型偏泛函微分方程描述的直接控制系统的振动性，获得了若干充分条件。

The oscillation of parabolic type direct control systems with time-delay is discussed in this paper , and the sufficient conditions for solution oscillation are given .

本文考虑一类带弱奇异核抛物型偏积分微分方程空间，时间全离散，采用谱配置方法，得出其相应的稳定性和误差估计。

But a few of them make the global behavior of full discretization by spectral methods . We study a partial integro-defferential equations of parabolic type with a weakly singular kernel , using spectral collocation derived stabilities and error estimated respectively .

讨论了一类非线性抛物型时滞偏微分方程系统的振动性，利用空间平均法和泛函微分方程的某些结果，获得了该类系统在第1类边值条件下所有解振动的若干充分条件。

The oscillation for a class of systems of nonlinear parabolic delay partial differential equations is studied . Some sufficient conditions are obtained for oscillation of all solutions of the systems under first boundary value conditions via the method of spatial average and some results of the functional differential equations .

关于某些抛物型和椭圆型偏微分方程的混合边界问题的解被表示为一类联系于Ito正向反射边界随机微分方程的反向随机微分方程的解。

Solutions of quasilinear mixed boundary problems for the same parabolic and elliptic partial differential equations are interpreted as solutions of a kind of backward stochastic differential equations , which are associated with the classical Ito forward stochastic differential equations with reflecting boundary conditions .