Exploració per tema "Equacions diferencials parcials--solucions numèriques"
Ara es mostren els items 21-30 de 30
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Implementation of the proper generalized decomposition for hybridizable discontinuous Galerkin
(Universitat Politècnica de Catalunya, 2017-10)
Projecte Final de Màster Oficial
Accés obertEn aquest treball de final de màster es desenvolupa una narració lògica de la implementació de la ''proper generalized decomposition'' (model order reduction technique) per al mètode d'elements finits (FEM) ''hybridizable ... -
Multiscale proper generalized decomposition based on the partition of unity
(John Wiley & sons, 2019-11-09)
Article
Accés obertSolutions of partial differential equations could exhibit a multiscale behavior. Standard discretization techniques are constraints to mesh up to the finest scale to predict accurately the response of the system. The ... -
Numerical modelling of the growth of glioblastoma cells in microfluidic devices
(Universitat Politècnica de Catalunya, 2022-06)
Projecte Final de Màster Oficial
Accés obertGlioblastoma Multiform tumour (GBM) is the most common and aggressive of the primary gliomas. Therefore, special efforts are focused on the development of new drugs and therapies that can lead to a better prognosis. To ... -
Numerical solution of PDEs in periodical domains
(Universitat Politècnica de Catalunya, 2018-01)
Projecte Final de Màster Oficial
Accés obertWe present in this work two schemes of approximation for numerical solutions of PDEs. The first one is the maximum entropy method (max-ent) and the second one is the b-spline method. These methods let us impose a special ... -
Numerical solution of the Helmholtz Equation using high-order continuous Galerkin methods
(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obertWe show a continuous Galerkin formulation with high-order polynomials to solve the Helmholtz equation. High-order formulations obtain solutions with less numerical error, and can use curved high-order meshes to approximate ... -
Option pricing using numerical methods for PDEs
(Universitat Politècnica de Catalunya, 2016-07)
Treball Final de Grau
Accés restringit per decisió de l'autorNow a days mathematics can be used for many different purposes or topics, and every day new fields to be applied are found. One of this fields, which is becoming more and more popular, is financial mathematics. This thesis ... -
Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition
(Elsevier, 2022-01-15)
Article
Accés obertAn a priori reduced order method based on the proper generalised decomposition (PGD) is proposed to compute parametric solutions involving turbulent incompressible flows of interest in an industrial context, using OpenFOAM. ... -
Partial differential equations in finance : The case of The American Option
(Universitat Politècnica de Catalunya, 2020-07)
Treball Final de Grau
Accés restringit per decisió de l'autorThis work introduces the well known Black-Scholes partial differential equation. Namely,the focus is on its application on assessing the value of American options. This is an important topic in finance, as researchers are ... -
Solució pel mètode dels elements finits de materials electroactius
(Universitat Politècnica de Catalunya, 2020-07)
Treball Final de Grau
Accés obertEls materials electroactius són materials que generen un camp elèctric quan se'ls hi aplica una tensió que els deforma, i viceversa. En aquest treball es fa un anàlisi matemàtic d'aquest fenomen en els materials piezoelèctrics ... -
Study of the Laplacian eigenvalues of fractal sets
(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obertThis thesis presents an example of known discretization methods for spectral problems in partial dierential equations and it is applied with some computations in planar domains with irregular (non-smooth) and self-similar ...
