Capítols de llibre
http://hdl.handle.net/2117/3922
2015-11-26T12:47:05ZImplicit residual type error estimators
http://hdl.handle.net/2117/78561
Implicit residual type error estimators
Huerta, Antonio; Díez, Pedro
The error associated with a numerical solution is intimately related with
the residual, that is the lack of verification of the equation by the approximated
solution. The residual is computable but obtaining the exact error from the residual
is as difficult as computing the exact solution. Residual type estimators provide
error assessment tools based on post processing the residual. This post process is
either explicit (integrating the residual) or implicit (solving local problems with the
residual as source term). Some of the residual type estimates are guaranteed error
bounds. The standard estimators aim at assessing the energy norm of the error. Goaloriented
assessment is carried out by considering an auxiliary problem associated
with the selected quantity of interest (the adjoint or dual problem). Thus, an error
representation allows estimating the error in the quantity of interest as a post-process
of the energy measures of the errors in both the original problem and the adjoint one.
2015-10-30T12:09:02ZHuerta, AntonioDíez, PedroThe error associated with a numerical solution is intimately related with
the residual, that is the lack of verification of the equation by the approximated
solution. The residual is computable but obtaining the exact error from the residual
is as difficult as computing the exact solution. Residual type estimators provide
error assessment tools based on post processing the residual. This post process is
either explicit (integrating the residual) or implicit (solving local problems with the
residual as source term). Some of the residual type estimates are guaranteed error
bounds. The standard estimators aim at assessing the energy norm of the error. Goaloriented
assessment is carried out by considering an auxiliary problem associated
with the selected quantity of interest (the adjoint or dual problem). Thus, an error
representation allows estimating the error in the quantity of interest as a post-process
of the energy measures of the errors in both the original problem and the adjoint one.Nonlinear equations for fractional laplacians II: existence, uniqueness, and qualitative properties of solutions
http://hdl.handle.net/2117/76787
Nonlinear equations for fractional laplacians II: existence, uniqueness, and qualitative properties of solutions
Cabré Vilagut, Xavier; Sire, Yannick
This paper, which is the follow-up to part I, concerns the equation (-Delta)(s)v + G'(v) = 0 in R-n, with s is an element of (0, 1), where (-Delta)(s) stands for the fractional Laplacian-the infinitesimal generator of a Levy process.; When n = 1, we prove that there exists a layer solution of the equation (i.e., an increasing solution with limits +/- 1 at +/-infinity) if and only if the potential G has only two absolute minima in [-1, 1], located at +/- 1 and satisfying G'(-1) = G'(1) = 0. Under the additional hypotheses G ''(-1) > 0 and G ''(1) > 0, we also establish its uniqueness and asymptotic behavior at infinity. Furthermore, we provide with a concrete, almost explicit, example of layer solution.; For n >= 1, we prove some results related to the one-dimensional symmetry of certain solutions-in the spirit of a well-known conjecture of De Giorgi for the standard Laplacian.
2015-09-15T10:25:04ZCabré Vilagut, XavierSire, YannickThis paper, which is the follow-up to part I, concerns the equation (-Delta)(s)v + G'(v) = 0 in R-n, with s is an element of (0, 1), where (-Delta)(s) stands for the fractional Laplacian-the infinitesimal generator of a Levy process.; When n = 1, we prove that there exists a layer solution of the equation (i.e., an increasing solution with limits +/- 1 at +/-infinity) if and only if the potential G has only two absolute minima in [-1, 1], located at +/- 1 and satisfying G'(-1) = G'(1) = 0. Under the additional hypotheses G ''(-1) > 0 and G ''(1) > 0, we also establish its uniqueness and asymptotic behavior at infinity. Furthermore, we provide with a concrete, almost explicit, example of layer solution.; For n >= 1, we prove some results related to the one-dimensional symmetry of certain solutions-in the spirit of a well-known conjecture of De Giorgi for the standard Laplacian.c-Critical graphs with maximum degree three
http://hdl.handle.net/2117/76780
c-Critical graphs with maximum degree three
Fiol Mora, Miquel Àngel
Let $G$ be a (simple) gtoph with maximum degree three and
chromatic index four. A 3-edge-coloring of G is a coloring of
its edges in which only three colors are used. Then a vertex is
conflicting when some edges incident to it have the same color.
The minimum possible number of conflicting vertices that a 3-
edge-coloring of G can have is called the edge-coloring degree,
$d(G)$, of $G$. Here we are mainly interested in the structure of a
graph $G$ with given edge-coloring degree and, in particula.r, when
G is c-critical, that is $d(G) = c \ge 1$ and $d(G - e) < c$ for any
edge $e$ of $G$.
2015-09-15T08:25:28ZFiol Mora, Miquel ÀngelLet $G$ be a (simple) gtoph with maximum degree three and
chromatic index four. A 3-edge-coloring of G is a coloring of
its edges in which only three colors are used. Then a vertex is
conflicting when some edges incident to it have the same color.
The minimum possible number of conflicting vertices that a 3-
edge-coloring of G can have is called the edge-coloring degree,
$d(G)$, of $G$. Here we are mainly interested in the structure of a
graph $G$ with given edge-coloring degree and, in particula.r, when
G is c-critical, that is $d(G) = c \ge 1$ and $d(G - e) < c$ for any
edge $e$ of $G$.The Role of Indivisibles in Mengoli's Quadratures
http://hdl.handle.net/2117/28047
The Role of Indivisibles in Mengoli's Quadratures
Massa Esteve, Maria Rosa
2015-05-26T09:54:57ZMassa Esteve, Maria RosaAnalysis of behavior of a simple eigenvalue of singular system
http://hdl.handle.net/2117/27421
Analysis of behavior of a simple eigenvalue of singular system
García Planas, María Isabel; Tarragona, Sonia
Small perturbations of simple eigenvalues
with a change of parameters is a problem of general
interest in applied mathematics. The aim of this work is
to study the behavior of a simple eigenvalue of singular
linear system family
E(p)x'_ = A(p)x + B(p)u;
y = C(p)x
smoothly dependent on real parameters p = (p1,..., pn).
2015-04-17T10:50:22ZGarcía Planas, María IsabelTarragona, SoniaSmall perturbations of simple eigenvalues
with a change of parameters is a problem of general
interest in applied mathematics. The aim of this work is
to study the behavior of a simple eigenvalue of singular
linear system family
E(p)x'_ = A(p)x + B(p)u;
y = C(p)x
smoothly dependent on real parameters p = (p1,..., pn).Analysis of functional output-controllability of time-invariant Composite linear systems
http://hdl.handle.net/2117/27419
Analysis of functional output-controllability of time-invariant Composite linear systems
García Planas, María Isabel; Tarragona, Sonia
Small perturbations of simple eigenvalues
with a change of parameters is a problem of general
interest in applied mathematics. The aim of this work is
to study the behavior of a simple eigenvalue of singular
linear system family
E(p)x'_ = A(p)x + B(p)u;
y = C(p)x
smoothly dependent on real parameters p = (p1,..., pn).
2015-04-17T10:34:44ZGarcía Planas, María IsabelTarragona, SoniaSmall perturbations of simple eigenvalues
with a change of parameters is a problem of general
interest in applied mathematics. The aim of this work is
to study the behavior of a simple eigenvalue of singular
linear system family
E(p)x'_ = A(p)x + B(p)u;
y = C(p)x
smoothly dependent on real parameters p = (p1,..., pn).An algebraic model for the storage of data in parallel memories
http://hdl.handle.net/2117/27169
An algebraic model for the storage of data in parallel memories
Fiol Mora, Miquel Àngel; Serra Albó, Oriol
The use of SIMD computers requires efficient schemes of storage of data in order to have conflict-free acces in parallel computation. In this paper we restate the problem of finding such chemes in an algebraic context. This approach supplies simple statements and proofs of main results on the subject, and allows further development of it.
2015-04-08T12:44:38ZFiol Mora, Miquel ÀngelSerra Albó, OriolThe use of SIMD computers requires efficient schemes of storage of data in order to have conflict-free acces in parallel computation. In this paper we restate the problem of finding such chemes in an algebraic context. This approach supplies simple statements and proofs of main results on the subject, and allows further development of it.Biomedical applications of bacterial inclusion bodies
http://hdl.handle.net/2117/27044
Biomedical applications of bacterial inclusion bodies
Ratera, Imma; Peternel, Espela; Seras Franzoso, Joaquín; Cano Garrido, Olivia; García Fruitós, Elena; Cubarsí Morera, Rafael; Vazquez, Esther; Corchero Nieto, Jose Luis; Rodriguez-Carmona, Escar; Veciana Miró, Jaume; Villaverde, A.
2015-03-26T11:05:24ZRatera, ImmaPeternel, EspelaSeras Franzoso, JoaquínCano Garrido, OliviaGarcía Fruitós, ElenaCubarsí Morera, RafaelVazquez, EstherCorchero Nieto, Jose LuisRodriguez-Carmona, EscarVeciana Miró, JaumeVillaverde, A.Tecnologías al servicio del desarrollo humano: revisando procesos
http://hdl.handle.net/2117/26969
Tecnologías al servicio del desarrollo humano: revisando procesos
Pérez Foguet, Agustí; Carrillo Ponce, Miquel; Magrinyà Torner, Francesc
2015-03-24T11:06:10ZPérez Foguet, AgustíCarrillo Ponce, MiquelMagrinyà Torner, FrancescPrograma de conocimiento de realidad de Ingeniería Sin Fronteras. Desarrollo de la dimensión social de los estudiantes de ingeniería
http://hdl.handle.net/2117/26947
Programa de conocimiento de realidad de Ingeniería Sin Fronteras. Desarrollo de la dimensión social de los estudiantes de ingeniería
Pérez Foguet, Agustí; Sneij, Oria J; Daurella, Camós D; Delclós, Ayats J
2015-03-23T14:13:37ZPérez Foguet, AgustíSneij, Oria JDaurella, Camós DDelclós, Ayats J