Modified Laguerre spectral and pseudospectral methods for nonlinear partial differential equations in multiple dimensions

The Laguerre spectral and pseudospectral methods are investigated for multidimensional nonlinear partial differential equations. Some results on the modified Laguerre orthogonal approximation and interpolation are established, which play important roles in the related numerical methods for unbounded domains. As an example, the modified Laguerre spectral and pseudospectral methods are proposed for two-dimensional Logistic equation. The stability and convergence of the suggested schemes are proved. Numerical results demonstrate the high accuracy of these approaches.     

多维区域中非线性偏微分方程的修正Laguerre谱与拟谱方法

研究多维区域中非线性偏微分方程的谱与拟谱方法．建立了修正Laguerre正交逼近与插值结果,这些结果对于建立和分析无界区域中的数值方法起着重要的作用．作为结果的一个应用,研究了二维无界区域中的Logistic方程的修正Laguerre谱格式,证明了它的稳定性和收敛性．数值试验结果表明所提出方法具有很高的精度,与理论分析结果完全吻合．     

基于RBF神经网络的磨矿粒度软测量模型及实现

磨矿分级作业是选矿生产中的重要环节,磨矿粒度的好坏直接影响浮选的精矿品位和尾矿回收率;在实际生产中粒度的测量有在线粒度分析仪,但存在成本高、维修率高,离线实验室化验又有时间延迟大的问题;对实际磨矿分级作业过程进行了分析,提出用径向基函数(RBF)神经网络建立磨矿粒度软测量模型,采用正交最小二乘法(OLS)算法对网络进行训练学习,泛化校验;仿真结果表明,在较少训练数据下该网络非线性处理能力和逼近能力依然很强,学习时间短,模型基本符合要求;通过OPC技术将Matlab与PKS控制系统相结合,实现实时软测量磨矿粒度。     

Synthesis of HZSM-5 zeolites with excellent DME aromatization properties by orthogonal test

Abstract

The synthesis conditions of HZSM-5 zeolite, including crystallization temperature, crystallization time and raw material ratio, were investigated by L₃₂ (4⁸) orthogonal test to specifically optimize its performance in dimethyl ether (DME) aromatization for the first time. Based on the total yield of aromatic products, the synthesis conditions of HZSM-5 zeolite with the best DME aromatization properties were obtained by comprehensive analysis and validation experiments. The relationship between the aromatization performance, crystalline structure, pore structure, and acidity of HZSM-5 zeolite were analyzed. The results showed that the HZSM-5 zeolite accompanied by hierarchical structure, an appropriate Brønsted and Lewis acid content and uniform crystal morphology, was successfully synthesized under optimized conditions. Over this unmodified and un-doped catalyst, the conversion of DME approached to 99.3% and the total yield of aromatics reached was 53.5%.     

Block-Projections Algorithms with Blocks Containing Mutually Orthogonal Rows and Columns

In this paper we present an algorithm which, for a given (sparse) matrix, constructs a partition of its set of row-indices, such that each subset of this partition (except the last one obtained) contains indices which correspond to mutually orthogonal rows. We then use such decompositions in some classes of block-projections methods, previously extended by the author to general inconsistent linear least-squares problems. Numerical experiments on an inconsistent and rank-deficient least-squares model problem are described in the last section of the paper.     

利用回归分析对正交试验结果进行修正

本文以纱线上浆率工艺参数正交试验为实例 ,利用回归分析的方法加以验证和修正 ,使工艺参数更符合实际情况 ,说明两种方法有较好的互补性 .     

应用正交试验确定环已醇最佳工艺条件

应用正交试验确定环已醇最佳工艺条件．本文采用正交试验的方法，对锦西化工总厂环已酮车间利用环已醇脱氢生产环已酮的生产工艺过程进行了正交试验设计，应用方差分析方法得出了最佳生产工艺条件，同时给出了经济效益分析评价     

松香树脂酸异构化反应研究

以松香为原料、盐酸为催化剂、95%乙醇为重结晶溶剂进行超声波强化松香树脂酸异构化反应研究.通过正交优化实验考察了反应温度、反应时间、超声波频率、搅拌转速、盐酸用量对枞酸单离收率和纯度的影响,确定最佳异构化反应条件为: 超声频率47.2 kHz,反应温度55℃,盐酸用量0.06 mL盐酸·(g松香)-1 ,反应时间40 min,搅拌转速300 r·min-1,枞酸单离收率为31.76%,纯度为97.32%.采用气相色谱仪和圆盘旋光仪对枞酸产品进行了分析鉴定,实验值与文献值吻合.     

经济预测中的正交回归分析

本文介绍了一种新的线性模型参数回归分析方法即正交回归，并以建立经济模型为例，对正交回归和经典回归的结果进行了比较。     

Classification of chromatographic data using multidimensional polynomials

Summary A pattern recognition methodology has been developed for analysis of chromatographic data. The method uses a new class of multidimensional orthogonal polynomials developed by Cohen in conjunction with a supervised learning technique. The method is applicable to any chromatographic data for which classification into two or more categories is desired. The algorithm analyzes both elution times and peak areas. An application is shown for the analysis of organic acids in ascitic fluid obtained from patients with liver disorders. Classification of these patients for presence or absence of bacterial infection shows over ninety percent correct classification.