University of Twente Student Theses
Rigorous and non-rigorous error estimates for numerical solutions of initial value problems
Ferreira Pires, E. (2022) Rigorous and non-rigorous error estimates for numerical solutions of initial value problems.
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| Abstract: | Two types of error estimation are considered. First some some heuristic error estimates are discussed, such as the explicit Euler method and general Runge-Kutta methods, as well as Richardson extrapolation. Second a reconstruction method using Euler's method and the Crank-Nicolson method is disscussed as a means of a rigorous error bound. The end result is an guaranteed error bound for an intial value problem. |
| Item Type: | Essay (Bachelor) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics |
| Programme: | Applied Mathematics BSc (56965) |
| Link to this item: | https://purl.utwente.nl/essays/91469 |
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