Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/170088| Title: | Mètodes de Runge-Kutta: estudi teòric i aplicació pràtica |
| Author: | Rubio Estrada, Martı́ |
| Director/Tutor: | Jorba i Monte, Àngel |
| Keywords: | Equacions diferencials ordinàries Anàlisi numèrica Programari Treballs de fi de grau Mecànica Algorismes computacionals Ordinary differential equations Numerical analysis Computer software Mechanics Computer algorithms Bachelor's theses |
| Issue Date: | 19-Jan-2020 |
| Abstract: | [en] The Runge-Kutta methods provide a way to approximately solve Ordinary Differential Equations in an iterative algorithm. In this document we will study the Runge-Kutta methods from a theoretical point of view, and we will implement a numerical integrator in C++ using the values found by Jim Verner [1] in 1978. We will also program a jet series arithmetic to be able to find the equations of the stable and unstable varieties in the disturbed pendulum problem. |
| Note: | Treballs Finals de Grau d'Enginyeria Informàtica, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Àngel Jorba i Monte |
| URI: | http://hdl.handle.net/2445/170088 |
| Appears in Collections: | Programari - Treballs de l'alumnat Treballs Finals de Grau (TFG) - Matemàtiques Treballs Finals de Grau (TFG) - Enginyeria Informàtica |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| codi.zip | Codi font | 807.07 kB | zip | View/Open |
| 170088.pdf | Memòria | 1.86 MB | Adobe PDF | View/Open |
This item is licensed under a
Creative Commons License
