Carregant...
Fitxers
Tipus de document
Treball de fi de màsterData de publicació
Llicència de publicació
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/66831
On time Delay Differential Equations
Títol de la revista
Autors
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
The current final project belongs to a subject in the master’s degree in Advanced Mathematics at the University of Barcelona. It deals with time delays which usually are arisen in differential equations.
Firstly, the project develops the main important known results of Delay Differential Equations, which are a specific case of Functional Differential Equations. In particular, we shall also focus on Delay Differential Equation with a constant delay.
Secondly, different integrators of a general Delay Differential Equation with a constant delay are explained and their numerical results are exposed according to the made implementation scripts
written in C and C++. By the way, an introduction to Automatic Differentiation Theory is also presented in order to be able to compute derivatives until a prefixed order of some suitable
functions.
Finally, a new method of computing periodic delayed orbits of a Delay Differential Equation with a constant delay is posed and a test of that new method is explained with some comments of the results.
Descripció
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2015, Director: Àngel Jorba i Monte
Matèries (anglès)
Citació
Col·leccions
Citació
GIMENO I ALQUÉZAR, Joan. On time Delay Differential Equations. [consulta: 23 de gener de 2026]. [Disponible a: https://hdl.handle.net/2445/66831]