Jorba i Monte, ÀngelRubio Estrada, Martı́2020-09-012020-09-012020-01-19https://hdl.handle.net/2445/170088Treballs Finals de Grau d'Enginyeria Informàtica, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Àngel Jorba i Monte[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.50 p.application/pdfcatmemòria: cc-nc-nd (c) Martı́ Rubio Estrada, 2020codi: GPL (c) Martı́ Rubio Estrada, 2020http://creativecommons.org/licenses/by-nc-nd/3.0/es/http://www.gnu.org/licenses/gpl-3.0.ca.htmlEquacions diferencials ordinàriesAnàlisi numèricaProgramariTreballs de fi de grauMecànicaAlgorismes computacionalsOrdinary differential equationsNumerical analysisComputer softwareMechanicsComputer algorithmsBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess