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tfg_pech_alberich_antoni.pdf (3.27 MB)

Document type

Bachelor thesis

Publication date

2022-01-24

Publication license

cc-by-nc-nd (c) Antoni Pech Alberich, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/187621

Integració numèrica d'EDOs

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Abstract

[en] The goal of this work is to study several methods for solving initial value problems in ordinary differential equations (ODEs). Particularly, we focus on the most common one-step methods, Euler, Heun and Runge-Kutta. In addition, we will prove some classic theorems about the convergence of general one-step methods and their order of error. After that, we apply numerical integration to analyse a case study which proposes a socio-economic model of the interaction among three social classes to predict the raises and falls of civilisations.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Miquel Bosch Gual

Subject

Anàlisi numèrica, Treballs de fi de grau, Equacions diferencials ordinàries, Problemes de valor inicial

Subject (English)

Numerical analysis, Bachelor's theses, Ordinary differential equations, Initial value problems

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

PECH ALBERICH, Antoni. Integració numèrica d'EDOs. [consulted: 20 of August of 2026]. Available at: https://hdl.handle.net/2445/187621

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