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 thesis
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:Treballs Finals de Grau (TFG) - Matemàtiques
Treballs Finals de Grau (TFG) - Enginyeria Informàtica
Programari - Treballs de l'alumnat

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170088.pdfMemòria1.86 MBAdobe PDFView/Open


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