微分方程数值解法实验

发布人:高级管理员 发布日期:2015-01-10

课程编号:34123335

课程名称(中文):微分方程数值解法实验

课程名称(英文):Numerical Solution of Differential Equations Experimentation

学分数/开课学期:2/5

课程类别:专业课选修

面向专业:信息与计算科学

课程负责人:邹青松

课程内容简介(中文):

在实验课中,我们主要培养学生数值求解微分方程的能力,包括求解常微分和偏微分方程的能力。为此,学生必须动手设计和编制一些基本的程序,如线形多步法,隆格-库塔法,有限元法,有限差分法等。最后学生还必须综合运用所学到的方法去求解来自于数学物理方程中的实际方程,并对自己所设计的算法和编制的程序进行分析和改进。

 

课程内容简介(英文):

In this course, the students are asked to design algorithms and program for solving numerically differential equations. They need understand classic algorithms such as linear multi-step methods, Runge-Kutta methods, finite elements methods, finite difference methods and write codes for these methods. In the end, the students are asked to analyze their designed algorithms and improve their algorithms.