数值分析课程中Lagrange插值法的教学与设计

Teaching and Design of Lagrange Interpolation Method in Course of Numerical Analysis

插值法是数值分析课程中的基本内容与方法,也是函数逼近、数值微分与数值积分等内容的理论基础。Lagrange插值是重要的插值方法之一,在实际问题中有广泛的应用。通过对理论教学环节的设计,便于学生理解并掌握Lagrange插值方法的相关理论,为学习数值分析后续内容打下坚实的基础。同时,通过对实验环节进行精心设计,有利于培养学生的实践能力和创新能力。

Interpolation method is the fundamental content and method in the course of numerical analysis and it is also the theoretical basis of other contents, such as function approximation, numerical differentiation, numerical integration and so on. Lagrange interpolation method is one of the important interpolation methods, which is widely applied in practical problems. Through design of the theoretical teaching links, it is convenient for students to understand and master the relevant theories of Lagrange interpolation method, and lay a solid foundation for learning the subsequent contents of numerical analysis. Moreover, through careful design of the experimental links, it is beneficial to cultivate the practical ability and innovation ability of students.