This is the strong drive to study the inverse problems of PFT.
而这正是有压瞬变流反问题研究的强大动力和重要意义所在。
In Chapter 1 we briefly introduce the concept of inverse problems.
第一章为引言，简介反问题的概念。
In this paper, some inverse problems for the heat equation are considered.
本文对热传导方程的一些反问题作了研究。
This paper discusses the inverse problems of anti-centrosymmetric matrices.
讨论了反中心对称矩阵反问题及其最佳逼近。
A review of using piezoelectric materials in inverse problems was presented.
回顾压电材料在反问题中的应用。
As to 2_d inverse problems, NN inversion is hardly used because of a large number of parameters.
对于二维反问题，反演参数较多，神经网络反演运用较少。
Thus an alternative for the global optimization of inverse problems in electromagnetics is introduced.
因此，本文为电磁场逆问题的求解计算提供他一种可供选择的全局优化算法。
In Chapter 2, we concentrate on the regularization methods and optimization methods for inverse problems.
第二章主要介绍反演问题的正则化方法和最优化方法。
A method for solving inverse problems of structural local dynamic modification is proposed in this pa-per.
本文提出一种结构局部动力修改逆问题的求解方法。
One of the basic Inverse problems of stereo photogrammetry is solved in the point of view of algebraic algorithm.
从代数算法的角度来求解航测学中的一个基本的反问题。
Due to its character of "uphill climbing", stochastic optimization algorithm is widely used to solve inverse problems.
因而具有“上山”性的随机类优化算法成为求解逆问题的主要数学工具。
This paper deals with a class of inverse problems of determining the unknown source term for the pseudoparabolic equation.
文章讨论了一类具有特殊初值条件的伪抛物型方程确定常数系数的反问题。
The theory of inverse problems of a partial differential equation is used for the structure fault diagnosis in this paper.
本文将微分方程反问题理论应用于结构故障诊断。
We presented a general methodology based on evolutionary algorithms (EAs) for the parameter estimation of inverse problems.
给出了一种利用演化计算方法求解微分方程中的参数识别类型反问题的方法。
The inverse problems are researched on linear transformation, system of linear equations, diagonalizing of matrix, and so on.
本文就线性代数中几个重要知识点：线性变换、线性方程组的解、矩阵对角化等的逆向问题进行研究。
The cybernetics method for solving parameter control inverse problems of engineering fluid mechanics is presented in the paper.
提出一种求解流体力学参数控制反问题的新思路——控制论方法。
The least squares solution of inverse problems of generalized skew symmetric matrices and It's optimal approximation problems are discussed.
讨论了线性流形上广义次对称矩阵反问题的最小二乘解及其逼近问题。
The least-squares solutions of inverse problems of a class of skew-symmetric matrices is discussed, and the expression of the solution is obtained.
讨论了一类次对称矩阵反问题的最小二乘解，得到了解的具体表达式；
A class of inverse problems of identification of heat source dependent only on spatial variables was discussed in heat equation with convective term.
探论一类含对流项的热传导方程的只含有空间变量的热源识别反问题。
A class of inverse problems of perpendicular fault effect are discussed, which are modeled by a first kind integral equation with an analytic kernel.
考虑一类垂直断层效应反演问题，其数学模型是具有解析核的第一类积分方程。
In the first chapter, we present the basic notion and some applications of inverse problems. We also summarize some important regularization methods.
第一章介绍了反问题的基本概念及其应用领域，并总结了一些基本的正则化方法。
The resolution strategy for ill-posed inverse problems encountered in science and engineering researches is put forward, based on multi-objective optimization.
针对科学和工程研究中的病态逆问题，提出了基于多目标优化的求解方法。
Although static analysis is widely used in the mechanical and engineering structure design now, static analysis inverse problems of structure are studied little.
研究了基于有限元分析的结构静力反问题求解的逆摄动方法。
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 results of numerical simulation show that the new approach is effective and feasible which has high accuracy and good stability when solving the inverse problems.
并进行了数值模拟，数值结果表明，改进后的微分进化算法是可行的，有效的，具有精度高且稳定性好等优点。
The essential of studying the forward and inverse problems of converted wave with the use of convolution model is to deduce recursion formula of the reflection coefficient.
利用褶积模型研究转换波正、反演问题的关键是建立转换反射系数递推公式。
Boundary element method has a great advantage over others on the inverse problems above in that boundary element method works out the results only based on the boundary datum.
因为边界元法仅利用边界量进行求解，故对于上述一类反问题分析有较大优势。
With regard to complicated inverse problems, numerical methods are always adopted to deal with them, such as finite element method, finite difference method and boundary element method.
对于复杂结构的反问题，通常采用数值方法求解，如有限元法、有限差分法、边界元法等。
The paper summarily introduces the advanced research results which are of theoretical importance in the forward and inverse problems in gravity magnetic exploration, and provides an adequate review.
首先概略地介绍了国内外具有较高理论价值的重磁勘探正反演理论前沿性研究成果，并给予了适当的对比评述。
The eight-point finite element is used for the discretization in the space system. The finite element model is given, facilitating to sensitivity analysis for non-linear direct and inverse problems.
采用八节点的等参单元在空间上进行离散，建立了便于敏度分析的非线性正演和反演的有限元模型，可直接求导进行敏度分析。
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