100 years of the Runge-Kutta method : a brief editing for schools
- This paper reports on the historical development of the Runge-Kutta methods beginning with the simple Euler method up to an embedded 13-stage method. Moreover, the design and the use of those methods under error order, stability and computation time conditions is edited for students of numerical analysis at undergraduate level. The second part presents applications in natural sciences, compares different methods and illustrates some of the difficulties of numerical solutions.
Author details: | Christine BöckmannORCiDGND, Axel Brückner |
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ISSN: | 0268-3679 |
Subtitle (English): | Hundred years of the Runge-Kutta method : a brief editing for schools |
Publication type: | Article |
Language: | English |
Year of first publication: | 2001 |
Publication year: | 2001 |
Release date: | 2017/03/24 |
Source: | Teaching mathematics and its applications : an international journal of the IMA. - ISSN 0268-3679. - 20 (2001), 1, S. 25 - 49 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |