基于随机模拟法的数学实验设计

Mathematical Experiment Design Based on Random Simulation Method

  • 摘要: 该文基于随机模拟法和Matlab编程,设计了布朗运动的模拟和对伊藤型随机微分方程解的数值仿真两个数学实验。设计的实验在丰富数学实验课程的教学内容的同时,使学生对随机过程微分方程有更深入的理解,有利于以创造性思维能力和自学能力为重点的学生综合能力的培养。

     

    Abstract: Based on Monte Carlo method and Matlab programming, two mathematical experiment cases are designed in this paper. One is the simulation of the Brownian movement, the other is the numerical simulation of the It stochastic differential equation. These cases will enrich the content of mathematical experiment course as well as deepen the understanding of differential equation of random process. It would help the development of comprehensive ability of the students centering on creative thought ability and self-learning ability.

     

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