北太天元在数值计算方法教学中的应用  

The Application of Baltamatica in Teaching Numerical Calculation Methods

作　　者：江雪 黄秋梅[1] JIANG Xue;HUANG Qiu-mei(School of Mathematics,Statistics and Mechanics,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学数学统计学与力学学院,北京100124

出　　处：《数学的实践与认识》2024年第2期226-231,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11771057,12171017)。

摘　　要：数值计算方法是高等学校数学专业和理工科专业必修的公共基础课,通过数值方法可以解决许多实际问题.介绍了国产通用型科学计算软件——北太天元(baltamatica)在数值计算方法教学中的应用.从介绍求解Helmholtz方程的有限差分法出发,探讨了在数值计算方法课程中使用baltamatica进行算法实现、可视化和实际问题求解的教学方法.通过编写代码、绘制图形和求解实际问题,学生能够深入理解数值计算方法的原理和应用,有助于培养他们解决实际问题的能力.最后,总结了baltamatica在数值计算方法教学中的优点.Numerical calculation methods are a compulsory public basic course for mathematics and engineering majors in higher education institutions,and can solve many practical problems through numerical methods.This paper focuses on the application of a domestically produced general-purpose scientific computing software,Baltamatica,in the teaching of numerical calculation methods.Starting from introducing the finite difference method for solving Helmholtz equations,this paper explores the teaching method of using Baltamatica for algorithm implementation,visualization,and practical problem solving in numerical calculation methods courses.By writing code,drawing graphics,and solving practical problems,students can gain a deep understanding of the principles and applications of numerical calculation methods,which helps to cultivate their ability to solve practical problems.Finally,the advantages of Baltamatica in teaching numerical calculation methods are summarized.

关 键 词：北太天元 HELMHOLTZ方程 有限差分法 算法实现 可视化 

分 类 号：G642[文化科学—高等教育学] O241-4[文化科学—教育学]