Màster universitari en Matemàtica Aplicada (Pla 2009)
Recent Submissions
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Polar germs and singularity invariants
(Universitat Politècnica de Catalunya, 2009-07)
Master thesis
Open AccessIn this work we obtain an algorithm which explicitly recovers the cluster of singular points a germ of curve from the cluster of base points of the polar germs of the curve. To achieve this, we reinterpret the problem in ... -
The isoperimetric problem in Johnson graphs
(Universitat Politècnica de Catalunya, 2013-11)
Master thesis
Open AccessIt has been recently proved that the connectivity of distance regular graphs is the degree of the graph. We study the Johnson graphs $J(n,m)$, which are not only distance regular but distance transitive, with the aim ... -
Minimizers to reaction-diffusion PDEs, Sobolev inequalities, and monomial weights
(Universitat Politècnica de Catalunya, 2011-07)
Master thesis
Restricted access - author's decisionReaction-diffusion equations play a central role in PDE theory and its applications to other sciences. They also play an important role in geometric problems: the problem of prescribing a curvature on a manifold and parabolic ... -
Exploring network coding capabilities
(Universitat Politècnica de Catalunya, 2012-07)
Master thesis
Restricted access - author's decisionIn this MSc Thesis, the principles of Network Coding will be reviewed, ranging from the description of the model to the typical applications. Also, two solutions related to privacy and security issues will be analyzed by ... -
Linealización por realimentación de una clase de manipulador con un número arbitrario de actuadores
(Universitat Politècnica de Catalunya, 2012-10)
Master thesis
Open AccessEste trabajo final de máster titulado "Linealización por reglamentación de una clase de manipulador con un número arbitrario de actuadores" estudia las salidas planas para un tipo particular de brazo robótico. El TFM que ... -
Past, present and challenges in Yang-Mills theory
(Universitat Politècnica de Catalunya, 2012-07)
Master thesis
Open AccessAquest treball tracta sobre les teories gauge de la física teòrica, la seva evolució des de el primer treball de Weyl (1918) fins als nostres dies tenint en compte el treball fonamental elaborat el 1954 per Yang i Mills que ... -
Methods for solving 1D Stefan problems with application to contact melting
(Universitat Politècnica de Catalunya, 2011-05)
Master thesis
Open AccessContact melting is the process during which a phase change material is placed in contact with a substrate that is at a temperature above the phase change temperature. This leads to melting of the phase change material and ... -
Smoothing and untangling of meshes on parameterized surfaces
(Universitat Politècnica de Catalunya, 2011-01)
Master thesis
Open AccessThe aim of this work is to develop a simultaneous smoothing-untangling procedure for parametrized surfaces. To this end we will extend the definition of the quality metrics for planar meshes to parametrized surface meshes. ... -
Mathematical methods of signal processing
(Universitat Politècnica de Catalunya, 2011-11)
Master thesis
Open AccessThe aim of this project is to present in a systematic way the more relevant mathematical methods of signal processing, and to explore how they are applied to speech and image precessing. After explaining the more common ... -
Transfer of energy in the nonlinear Schrödinger equationon
(Universitat Politècnica de Catalunya, 2011-06)
Master thesis
Open AccessThis work aims to use tools of Dynamical Systems to prove that the nonlinear Schr odinger equation presents a global instability. To do that, we rst reduce this PDE to a system of ODE's of dimension N which we call the ... -
Problemes algorísmics en grups lliure per lliure-abelià
(Universitat Politècnica de Catalunya, 2011)
Master thesis
Open AccessEstudiem els grups lliures per lliure abelia i alguns problemes de decissió algorísmica sobre ells.. Es tracta d'estudiar els grups de la forma G=F_nxZ^m (productes directes de grups lliures per grups lliures abelians) ... -
Rational points on Atkin-Lehner quotients of Shimura curves
(Universitat Politècnica de Catalunya, 2011)
Master thesis
Open AccessLet X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By the work of Shimura, the curve X_B admits a canonical model over the field Q of rational numbers as a coarse moduli ...
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