Browsing by Author "València Guitart, Marta"
Now showing items 1-9 of 9
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A singular initial value problem to construct density-equalizing maps
Avinyó Andrés, Albert; Solà-Morales Rubió, Joan de; València Guitart, Marta (2011-12)
Article
Restricted access - publisher's policyThe diffusion-based algorithm to produce density-equalizing maps interprets diffusion as an advection process. This algorithm uses the dynamics of a flow that is defined by an initial value problem that turns out to be ... -
A singular initial value problem to construct density-equalizing maps
Avinyó Andrés, Albert; Solà-Morales Rubió, Joan de; València Guitart, Marta (2011-05)
Research report
Open AccessThe diffusion-based algorithm to produce density-equalizing maps interprets diffusion as an advection process. This algorithm uses the dynamics of a flow that is defined by an initial value problem that turns out to be ... -
Adiabatic invariant of the harmonic oscillator, complex matching and resurgence
Bonet Revés, Carles; Sauzin, D.; Martínez-Seara Alonso, M. Teresa; València Guitart, Marta (1997)
Article
Open AccessThe linear oscillator equation with a frequency depending slowly on time is used to test a method to compute exponentially small quantities. This work present the matching method in the complex plane as a tool to obtain ... -
Bounded solutions of some nonlinear elliptic equations in cylindrical domains
Calsina Ballesta, Ángel; Solà-Morales Rubió, Joan de; València Guitart, Marta (1997)
Article
Open AccessThe existence of a (unique) solution of the second order semilinear elliptic equation $$ \sum^{n}_{i,j=0}a_{ij}(x)u_{x_{i}x_{j}}+f(\nabla u,u,x)=0 $$ with $x=(x_{0},x_{1},\dots, x_{n})\in (s_{0},\infty )\times \Omega '$, ... -
Càlcul numèric
Bonet Revés, Carles; Jorba Monte, Angel; Martínez-Seara Alonso, M. Teresa; Masdemont Soler, Josep; Ollé Torner, Mercè; Susín Sánchez, Antonio; València Guitart, Marta (Edicions UPC, 1994)
Book
Restricted access to the UPC academic communityEl llibre Càlcul numèric conté les eines i bases fonamentals dels algotimes de computació. La seva presentació, exempta de formalismes excessivament teòrics, el fa molt adequat per al lector que, sense voler aprofundir ... -
Diffeomorphisms with Given Jacobians involving the Heat Equation
Avinyó Andrés, Albert; Solà-Morales Rubió, Joan de; València Guitart, Marta (2000-12)
Article
Open Access -
EQUACIONS DIFERENCIALS 2 (Examen 2n quadrim)
València Guitart, Marta (Universitat Politècnica de Catalunya, 2007-05-21)
Exam
Restricted access to the UPC academic community -
On maps with given jacobians involving the heat equation
Avinyó Andrés, Albert; Solà-Morales Rubió, Joan de; València Guitart, Marta (2000)
Article
Open AccessIn this paper we presennt and analyze two new algorithms to construct a smooth diffeomorphism of a domain with prescribed jacobian function. The first one is free from any restriction on the boundary, while the second ... -
On the diffusion algorithm for density-equalizing maps with piecewise constant initial data
Avinyó Andrés, Albert; Solà-Morales Rubió, Joan de; València Guitart, Marta (2012-07-15)
Article
Restricted access - publisher's policyWe mathematically analyze the diffusion-based algorithm to produce maps with a given Jacobian, introduced independently by M. T. Gastner and M. E. J. Newman (2004) and ourselves (2003), but in particular cases where the ...