数值算法

For the problem of value iteration optimization of the compact action set in semiMarkov decision process, a unified standard VI algorithm directly based on the equivalent infinitesimal generator under both discount and average criteria was proposed with the proof of convergence.

针对半Markov决策过程在紧致行动集上的数值迭代优化，提出了折扣和平均准则下直接基于等价无穷小生成子的统一的标准数值迭代算法，并证明了其收敛性。

Note that regularized problems are usually defined in an infinite setting and have to be discTetized for an implementation and there have been many comparatively adult methods of calculating singular system. Therefore, there is no need to avoid the calculation of singular system in inverse problems calculating of numeric value. Here TSVD Regularization Method is very simple and quite effective one.

考虑到反问题的数值计算需要将问题离散化，化为有限维的问题来进行处理，而对于有限维算子的奇异系的计算已经有了相当成熟的各种算法，因此在反问题的数值计算中没有必要避开奇异系的计算，此时TSVD正则化方法是十分简单并相当有效的正则化方法。

In this paper, applying an integral expression of linear viscoelastic theory, several integral equation expressions for obtaining shear modulus G from stress relaxation modulus E{t and bulk modulus K are acquired by using inversion of the Laplace Transform.

本文应用线粘弹性理论的一种粘弹性积分变换式，采用拉氏逆变换，导出了由拉伸松弛模量E和体积松弛模量K求解剪切模量G的几种积分方程，并给出了由已知试验数据E和K通过迭代和数值积分求G的数值积分算法。

I wrote it myself numerical analysis courses designed algorithm, which is part of the numerical fitting.

我自己写的数值分析课程设计的算法，这里是数值拟合的部分。

In Chapter 7, we present some numerical results of our method for image reconstruction problems. Results of two singular problems related to the Poisson equation are also given.

第七章，主要是给出我们的算法在图象重构中的具体应用的数值结果，同时还给出了两个有关Poisson方程的奇异问题的数值结果。

Comparison with the classical fourth-order LWC scheme shows that the NAD-type methods have many advantages. They can generate clearer snapshots of wave fields without any visible dispersion. To obtain the results without any numerical dispersion, the time cost by the LWC schemes is about 559, 1222 and 1955 times of that taken by ONADM, RNADM and SNADM, receptively. Besides, the storage space of ONADM is roughly about 3.3% of that needed for the fourth-order LWC scheme, while of RNADM and SNADM is about 5.8‰.

和经典的4阶LWC格式相比：NAD类算法在粗网格下可以有效的压制数值频散，得到清楚的波场快照；在达到消除数值频散要求时，4阶LWC格式的计算时间是ONADM计算时间的559倍，是RNADM方法计算时间的1222倍，是SNADM方法计算时间的1955倍；而此时ONADM方法存储量只有4阶LWC存储量的3.3%，RNADM方法和SNADM方法的存储量只有4阶LWC格式存储量的5.8‰。

High precision format, unstructured dynamic mesh with a large displacement and multi-species gas flows were computationally expensive, the problem of resourceless and inefficient of single computer appeared. Parallel arithmetic based on PC-Cluster system for the oblique detonation wave flow and the muzzle flow include high speed projectile were discussed. The results proved that the rationality of parallel arithmetic provided a new method to simulate the complex chemical reaction flows. The present code represents a validated, efficient and versatile tool developed for the simulation of hypersonic multi-species chemical non-equilibrium flows.

高精度计算格式、化学反应源项的刚性和大位移的运动边界处理都给计算和存储带来了沉重的负担，单机资源不足和计算时间长的问题凸现，利用PC机和局域网资源建立分布存储式并行计算系统，并基于非结构动网格和分区算法开发了复杂化学反应流场数值模拟的并行计算程序，对高速飞行实验弹丸诱导的斜爆轰波流场和含有大位移动边界的膛口燃气射流场进行了并行模拟，有效地缩短了计算时间，扩展了计算规模，为复杂化学反应流数值模拟研究提供了新的手段。

In this paper, we present a class of equation model for image denoising and edge enhancement. The model is based on robust statistics error norm and variational theory.

本文基于稳健统计误差模函数及变分原理构造了一类用于图像去噪、增强边缘的方程模型，对相关参数进行了分析，设计了该方程有限差分数值求解的并行算法，并对分块模型及实现过程进行改进，提高了并行效率，在此基础上完成了并行数值实验，并对结果就误差模选取、并行效率等方面进行了分析。

In this paper, we present a class of equation model for image denoising and edge enhancement. The model is based on robust statistics error norm and variational theory. By analysing the parameters of the equation and designing the methods of module partitions, the numerical experiments reach a good result and the parallel efficiency has been improved remarkably with finite difference method.

本文基于稳健统计误差模函数及变分原理构造了一类用于图像去噪、增强边缘的方程模型，对相关参数进行了分析，设计了该方程有限差分数值求解的并行算法，并对分块模型及实现过程进行改进，提高了并行效率，在此基础上完成了并行数值实验，并对结果就误差模选取、并行效率等方面进行了分析。

So an algorithm that solves a well-conditioned problem may be either numerically stable or numerically unstable.

因此，一个算法，解决了一个良好的环境问题可能是稳定的数值或数值不稳定。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。