研究生专业课程《微分方程数值解法》的教学方法的探索与实践：以南昌航空大学为例

Exploration and Practice of the Teaching Methods of the Professional Course Numerical Methods for Differential Equations for Graduate Student: A Case Study of Nanchang Hangkong University

摘要: 针对我校计算数学专业研究生的学情、研究生的培养目标和《微分方程数值解法》课程的特点，本文对该门课程的教学进行一些有益的探索和总结，提出教学与科研相融合的教学理念，充分运用传统教学方法和现代教育技术的优势，紧紧围绕提高研究生的，诸如，发现问题、提出和优化算法、编程、数据处理和数学理论分析等科研素质开展教学。教学实践表明：本文提出的一些教学原则和方法有利于提高研究生的科研创新能力。

Abstract: According to the circumstances of the graduate students which come from Nanchang Hangkong University and major in computational mathematics, the training objectives for graduate students, and the characteristics of the “Numerical Methods for Partial Differential Equations”, this study focuses on the good explorations and conclusions for the teaching of this course, and proposes the principle of the teaching combining with the research. Promoting teaching aims at the culture and improvement of the scientific research level for graduate students, such as, finding scientific problems, devising and optimizing algorithms, programming, data processing and the analyses of mathematical theories. Teaching practice shows that the principle and methods proposed in this study are good for the improvement of the abilities to innovative research for graduate students.