反向积分伴随方程的时间可以缩短。
提出了建立伴随方程的分解技术；
The decomposition technology for establishing adjoint equations is put forward.
对于三维情形，获得了离散的伴随方程和边界条件。
For discrete case, the discrete adjoint equations and boundary conditions are obtained for a 3-d model.
对于二维连续模型，获得了连续形式的伴随方程及其边界条件。
For continuous case, the continuous adjoint equations and boundary conditions are derived for a 2-D model.
利用伴随方程与状态方程形式上的相似性，用数值方法实现了一种新的结构最优控制算法。
A new algorithm of optimal control to structural vibration has been realized by using state transition method which is based on the similarity between the companion equation and the state equation.
在一般化的意义上，给出了连续问题及其相应的离散形式。引入伴随变量，并由此导出伴随方程。
In a general case, the continuous problem and corresponding discrete form are formulated, in which the so called adjoint variable is introduced and then the adjoint equation is derived.
提出了建立伴随方程的分解技术，通过二维浅水波方程的伴随方程的建立，研究了建立伴随方程的数学方法。
We put forward a decomposing technology of creating the adjoint equation. By creating the 2-d shallow-water equation, we study the mathematical method of creating the adjoint equation.
针对模型求解上存在的困难，建立了一类伴随方程方法，解决了大规模地下水管理问题在内存上的困难，最后给出了一个算法和计算框图。
For solving this model, an adjoint equation approach is presented, which can overcome the difficulty of computer storage. Finally, an algorithm and a flow chart are given.
本文给出在非共面椭圆轨道上运行的航天器的伴随运动方程。
This paper presents some equations of adjoint motion for spacecrafts moving in elliptic orbit of different plane.
基于常微分方程数学模型建立了多体系统动力学设计灵敏度分析的伴随变量方法。
The adjoint variable method for design sensitivity analysis of multibody system dynamics based on ordinary differential equations is presented.
并针对该系统所用的RS（255，247）码推导出了一些基本公式，包括生成多项式，伴随式矩阵，关键方程等。
At the same time, some basic formulas of RS(255,247)code are also concluded, such as generated polynomial, syndromes matrix, key equation and so on.
将中子伴随通量方程变换处理以后，利用格林函数节块法的原理求解中子伴随通量，以此代替过去采用最多的细网有限差分法。
A coarse mesh method, in which the theory of nodal Green's function method is adopted, is applied to get the adjoint neutron flux, after a transformation of adjoint flux equations has been made.
应用伴随方法求解以数值预报方程作为约束条件的四维变分资料同化方案，关键问题是如何构造伴随模式。
The key problem of four-dimensional variational data assimilation method, which solves the constraining numerical predict equations through accompanied model, is how to establish an accompanied model.
应用伴随方法求解以数值预报方程作为约束条件的四维变分资料同化方案 ，关键问题是如何构造伴随模式。
The four-dimensional data assimilation is to integrate the current and past data into a forecast model equation for providing time continuity and dynamic coupling.
依据催化裂化催化剂水热失活过程伴随着超稳化过程，确定了催化剂自抑制水热失活动力学模型方程。
The kinetic model of hydrothermal deactivation and the model of unit balance activity for FCC catalyst were established.
依据催化裂化催化剂水热失活过程伴随着超稳化过程，确定了催化剂自抑制水热失活动力学模型方程。
The kinetic model of hydrothermal deactivation and the model of unit balance activity for FCC catalyst were established.
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