牛顿对光与颜色的研究

详细叙述了牛顿在１６６５－１６７５年间对光和颜色的研究过程，阐明牛顿从原来看到光谱带有五种颜色到认为光谱带有七种颜色的转变，论述了这种转变的原因     

一般无约束优化问题的广义拟牛顿法

对一般目标函数极小化问题的拟牛顿法及其全局收敛性的研究,已经成为拟牛顿法理论中最基本的开问题之一．本文对这个问题做了进一步的研究,对无约束优化问题提出一类新的广义拟牛顿算法,并结合Goldstein线搜索证明了算法对一般非凸目标函数极小化问题的全局收敛性．     

Lattice Boltzmann Simulation of Sedimentation of a Single Charged Elastic Dumbbell in a Newtonian Fluid

Based on the lattice Boltzmann method, the sedimentations of elastic dumbbells with different charges in a Newtonian fluid under the same and different initial conditions are simulated. Due to the polarizing effects, there are Coulomb forces exerted on the charged elastic dumbbells during their sedimentations, which change their original motions significantly. All of the numerical results show that, if the charged elastic dumbbells are released at offset-centreline positions with zero velocity and settle under gravity, they fall down vertically off the centreline and their orientations tend to be the horizontal finally, and the distances apart from the centreline increase with the increasing charges of the elastic dumbbells.     

牛顿环中心的实验探讨

本文对牛顿环中心点的亮暗斑从理论和实验中进行了探讨，提出了消除中心亮斑的方法。     

谈牛顿的科学方法论

 牛顿所以能够为自然科学建立起一个历史的丰碑,除了他所处的历史条件外,主要是因为他自觉遵循和有效运用科学研究方法的结果。     

牛顿环实验非等精度分析的讨论

牛顿环实验非等精度分析的讨论张希纯（上海机械学院２０００９３）牛顿环实验的非等精度测量问题已作了许多有益的讨论（１）（２）．文［１］中提出测量牛顿环凸透镜半径的误差主要来源于对准条纹时的对准误差．文［２］用标准差传递的“方和根”法得到了误差公式是的函...     

透射光牛顿环的实现和分析

提出了观察透射光牛顿环的方法，分析了透射光与反射光的牛顿环现象不同的原因。     

求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性

为了解决不可导方程的求根问题以及在实际应用方面的考虑，在韩丹夫一文收敛条件的基础上，提出了用修正的牛顿方法来解决不可导方程的求根问题，并且用优序列方法给出了收敛性理论，由于方程本身的限制，所得到的结果是线性收敛的．     

A Frisch-Newton Algorithm for Sparse Quantile Regression

Recent experience has shown that interior-point methods using a log barrier approach are far superior to classical simplex methods for computing solutions to large parametric quantile regression problems. In many large empirical applications, the design matrix has a very sparse structure. A typical example is the classical fixed-effect model for panel data where the parametric dimension of the model can be quite large, but the number of non-zero elements is quite small. Adopting recent developments in sparse linear algebra we introduce a modified version of the Prisch-Newton algorithm for quantile regression described in Portnoy and Koenker~([28]). The new algorithm substantially reduces the storage (memory) requirements and increases computational speed. The modified algorithm also facilitates the development of nonparametric quantile regression methods. The pseudo design matrices employed in nonparametric quantile regression smoothing are inherently sparse in both the fidelity and roughness penalty components. Exploiting the sparse structure of these problems opens up a whole range of new possibilities for multivariate smoothing on large data sets via ANOVA-type decomposition and partial linear models.     

钻柱自转和公转诱发牛顿液体层流流动的数学模型

本文将钻井液视为牛顿液体，在柱坐标系内建立了钻柱自转和公转条件下钻井液偏心螺旋流动的微分方程，确立了边界条件．