@inproceedings{52c706aa21714be88f14097483f5c908,
title = "Numerical analysis project in ODEs for undergraduate students",
abstract = "Designing good projects involving programming in numerical analysis for large groups of students with different backgrounds is a challenging task. The assignment has to be manageable for the average student, but to additionally inspire the better students it is preferable that it has some depth and leads to them to think about the subject. We describe a project that was assigned to the students of an introductory Numerical Analysis course at the University of Iceland. The assignment is to numerically compute the length of solution trajectories of a system of ordinary differential equations with a stable equilibrium point. While not difficult to do, the results are somewhat surprising and got the better students to get interested in what was happening. We describe the project, its solution using Matlab, and the underlying mathematics in some detail. Further, we discuss the pedagogical aspects of the project and the results in terms of its success and shortcomings.",
keywords = "Lyapunov functions, Numerical integration, Ordinary differential equations, Scientific computing project",
author = "Sigurdur Hafstein",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; 19th International Conference on Computational Science, ICCS 2019 ; Conference date: 12-06-2019 Through 14-06-2019",
year = "2019",
doi = "10.1007/978-3-030-22750-0\_34",
language = "English",
isbn = "9783030227494",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "421--434",
editor = "Rodrigues, \{Jo{\~a}o M.F.\} and Cardoso, \{Pedro J.S.\} and J{\^a}nio Monteiro and Roberto Lam and Krzhizhanovskaya, \{Valeria V.\} and Lees, \{Michael H.\} and Sloot, \{Peter M.A.\} and Dongarra, \{Jack J.\}",
booktitle = "Computational Science - ICCS 2019 - 19th International Conference, 2019, Proceedings",
address = "Germany",
}