Matlab package for the Schrödinger equation

The paper presents a Matlab package for the linear time-(in)dependent Schr?dinger equation, based on the Hermite spectral method. The matrix form of the discretized problem is suitable for the linear algebra capabilities of Matlab. The high accuracy and efficiency of the algorithm is proved by many examples taken from the literature.      

A Markov model for analyzing the evolution of bladder carcinoma

A Markovian approach to analyze different states of the superficial vesical carcinoma is considered, taking into account up to two recurrences and the possibility of progression. So, three transient states are considered: free of disease, first, and second recurrence; and an absorbent state, the progression. A methodology based in phase-type distributions is also used, that allows the usual quantities of interest in survival studies to be expressed in a well-structured form. This type of distribution has shown its utility in queue theory, and has the advantage that mathematical expressions can be presented in a closed form that allows algebraic treatment.     

利用Matlab语言对物理实验数据进行处理

本文讨论利用Matlab语言通过最小二乘法对物理实验数据进行处理的优点。     

有限域上一次同余方程组的编码解法

对于有限域上n元一次同余方程组的求解问题,给出了一种基于编码理论的新解法,并给出了算法的Matlab程序实现.     

Matlab软件在多元统计分析中的应用

许多实际问题往往需要对数据进行统计分析,建立合适的统计模型.过去一般采用SAS、SPSS软件分析,本文给出Matlab软件在多元统计分析上的应用,主要介绍Matlab在主成份分析、聚类分析、判别分析上的应用。文中均给以实例,结果令人满意。     

Computational methods in lattice-subspaces of with applications in portfolio insurance

In this article, we develop a computational method for an algorithmic process first posed by Polyrakis in 1996 in order to check whether a finite collection of linearly independent positive functions in C[a,b] forms a lattice-subspace. Lattice-subspaces are closely related to a cost minimization problem in the theory of finance that ensures the minimum-cost insured portfolio and this connection is further investigated here. Finally, we propose a computational method in order to solve the minimization problem and to calculate the minimum-cost insured portfolio. All of the numerical work is performed using the Matlab high-level language.     

基于MATLAB的能级、波函数及几率密度图形的绘制

本文着重介绍运用Mafia5编程语言完成一维无限深势阱和线性谐振子的能级、渡函数及几率密度图形的绘制问题。     

长周期光纤光栅的功率特性

用Matlab编程的方法对长周期光栅功率特性进行了研究,数值模拟了长周期光栅入射角度、光栅长度与功率分布的图像关系.研究结论为长周期光纤光栅的设计提供理论依据.     

长周期光纤光栅的透射光谱特征

用Matlab编程的方法对长周期光纤光栅的透射光谱谱线特性进行了研究,数值模拟了长周期光纤光栅周期对光谱谱线的影响.研究结论为长周期光纤光栅的设计提供了理论依据.     

基于GUI的阿贝-波特滤波实验的计算机仿真

介绍了阿贝-波特空间滤波的实验原理,在Matlab环境下建立了带有图形用户界面（GUI）的计算机仿真平台.不仅可以准确地完成针对不同输入图像、不同滤波要求的滤波过程,还可以通过调整滤波器参数观察滤波效果的差异,形象地展现光学空间滤波过程的物理本质,提高教学效果.