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A high-order alternating direction implicit method for solving two or three dimensional heat equations is proposed. The method is fourth order in space and second order in time.

提出了数值求解二维和三维热传导方程的高精度交替方向隐式方法，其空间为四阶精度，时间为二阶精度，并通过Neumann方法证明是无条件稳定的。

Based on the second- and fourth-order compact difference formulas for second-order derivatives and the idea of weighted average, two classes of the alternating direction implicit method are proposed for solving two-dimensional wave equation. The methods are of accuracy O (T^2+h^4) and O (T^4+h^4) respectively. Stability conditions are obtained by Fourier analysis method.

基于二阶微商的四阶紧致差商逼近公式及加权平均思想，提出了数值求解二维波动方程的2种精度分别为O(т^2+h^4)和O(т^4+h^4)的交替方向隐式格式，以及与其相匹配的第一个时间层的同阶离散格式，并且通过Foulier方法分析了格式的稳定性。

In the fourth chapter, we build the model of coefficient on one dimension partial differential equation and adopt finite element method to discrete partial differential equation and in the fifth chapter, we employ GP to identify and build the model of right-side function and adopt over-relaxation or alternating direction implicit method to solute difference equation.

在求解这些偏微分方程连续系数反演或右端连一一一~武卫1里鱼立二大一至」夔里匕崖匕位止透二立一一一一续函数的适应值评价中，我们都采用H'一范数正则化来解决连续参数的识别问题。

Results Bile acid metabolites were different between the patients and the healthy controls, even the dead patients and the cured patients. On the fourth day of consuming amanita verna, the bile acid metabolites of the dead patients were markedly different from those of the cured patients.

结果 白毒伞中毒患者的胆汁酸代谢产物与健康对照组有很大差异；死亡患者与治愈患者的胆汁酸代谢产物也不相同；二者之间的差异在食后第4天就明显地表现出来。

The picture shows that the then Minister Bo Xilai of Ministry of Commerce, and his Japanese erpart Akira Amari, Ministry of Economy and Industry and Kim of Ministry of Foreign Affairs and Trade of South Korea, jointly attended the fourth China-Japan-South Korea Economic and Trade Ministerial Meeting on December 9, 2006, in the Philippines.

图为2006年12月9日商务部部长薄熙来与日本经产大臣甘利明、韩国外交通商部通商交涉调整官金中根共同出席在菲律宾宿务举行的第四次中日韩经贸部长会议。

Fourth, the ambient temperature of the surface quality of concrete structure is particularly evident impact.

四是环境温度对混凝土结构面层质量的影响也特别明显。

Perhaps slightly less ambitiously Muslera added,"We can reach fourth place this year."

也许Muslera还是稍微有些缺乏信心，因为他又补充道："我们今年应该能够达到第四名。"

The fourth part is the meaning of pragmatic ambivalence strategy in verbal communication.

第四部分是研究语用模糊策略的现实意义。

The fourth chapter: The amelioration the system of social security in our country.

第四章：完善我国社会保障支出制度。

On the other hand namely concerning the operation, the first is to build register system of property of every people, the second is to build single account system, the third is to astrict cash consumption, the fourth is to build economic amercement system of corruption.

从操作性方面看：一要推行全民财产登记制度；二要推行一人一个银行账户制；三要推行限额现金消费；四要建立对腐败的经济罚款制度。

Smoking cigarettes adds to the Computer Desk Computer manufacturer computer mouse Computer Computerized collar knitter machine Conduit Bodies construction board Container Bag Control Arm Cooking Thermometer general levels of air pollution as well as damaging our health.

吸烟不仅对健康有害，而且增加空气污染程度。香烟雾含有多种有害物质：不仅有致癌化学物质、有某种能阻止氧气进入血液的气体，还有引起血压增高、心速加快的被称为尼古丁的物质。

He is one of my favorite actors.

他是我最喜欢的男演员之一。