University of Twente Student Theses

Login
As of Friday, 8 August 2025, the current Student Theses repository is no longer available for thesis uploads. A new Student Theses repository will be available starting Friday, 15 August 2025.

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.

[img] PDF
253kB
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
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page