Análisis Matemático, Estadística e Investigación Operativa y Matematica Aplicada - (AM)
Estas son las colecciones en las que puede catalogar la producción investigadora del departamento Análisis Matemático, Estadística e Investigación Operativa y Matematica Aplicada. Si considera que ninguna de estas se ajusta a su material pida una nueva colección en la sección de sugerencias.
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High-order well-balanced finite volume methods for hyperbolic systems of balance laws
(UMA Editorial, 2023-03-03)Esta tesis, realizada por compendio de publicaciones, se sitúa en el contexto de la resolución numérica de sistemas hiperbólicos de leyes de equilibrio. Se consideran métodos de volúmenes finitos de alto orden basados en ... -
High order well balanced numerical methods for a multilayer shallow-water model with variable density
(UMA Editorial, 2022)En esta tesis se desarrollan algunas contribuciones novedosas en el marco de los modelos de aguas someras multicapas y en esquemas numéricos de alto orden bien equilibrados. En primer lugar, se deriva un modelo multicapa ... -
Warm-starting constraint generation for mixed-integer optimization: A Machine Learning approach
(Elsevier, 2022-10-11)Mixed Integer Linear Programs (MILP) are well known to be NP-hard (Non-deterministic Polynomial-time hard) problems in general. Even though pure optimization-based methods, such as constraint generation, are guaranteed to ... -
Quantitative John–Nirenberg inequalities at different scales
(Springer, 2022-06-07)Given a family Z = { · Z Q } of norms or quasi-norms with uniformly bounded triangle inequality constants, where each Q is a cube in Rn, we provide an abstract estimate of the form f − fQ,μZ Q ≤ c(μ)ψ(Z) f BMO(dμ) for ... -
A bayesian approach for one-way ANOVA under unequal variances
(2022)In this report a Bayesian solution to the problem of testing the equality of the means of k independent normal populations with unknown and arbitrary variances is provided. An important issue in the solution of this problem ... -
Use of Neural Networks for Tsunami Maximum Height and Arrival Time Predictions
(IOAP-MPDI, 2022-06-13)Operational TEWS play a key role in reducing tsunami impact on populated coastal areas around the world in the event of an earthquake-generated tsunami. Traditionally, these systems in the NEAM region have relied on the ... -
In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension
(Elsevier, 2022-06-15)We are interested in the numerical approximation of discontinuous solutions in non conservative hyperbolic systems. An extension to second-order of a new strategy based on in-cell discontinuous reconstructions to deal with ... -
Pseudo-Probabilistic Design for High-Resolution Tsunami Simulations in the Southwestern Spanish Coast
(IOAP-MPDI, 2022-05-23)The application of simulation software has proven to be a crucial tool for tsunami hazard assessment studies. Understanding the potentially devastating effects of tsunamis leads to the development of safety and resilience ... -
Integral Operators Induced by Symbols with Non-negative Maclaurin Coefficients Mapping into H∞
(Springer, 2022-02-20)For analytic functions g on the unit disk with non-negative Maclaurin coefficients, we describe the boundedness and compactness of the integral operator Tg( f )(z) = z 0 f (ζ )g(ζ ) dζ from a space X of analytic functions ... -
Cesàro-like operators acting on spaces of analytic functions
(Springer, 2022-03-17)Let D be the unit disc in C. If μ is a finite positive Borel measure on the interval [0, 1) and f is an analytic function in D, f(z)=∑∞n=0anzn (z∈D), we define Cμ(f)(z)=∑n=0∞μn(∑k=0nak)zn,z∈D, where, for n≥0, μn denotes ... -
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density
(Springer, 2021-12-17)In this work, we present a novel numerical discretization of a variable pressure multilayer shallow water model. The model can be written as a hyperbolic PDE system and allows the simulation of density driven gravity ... -
A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background
(SPRINGER, 2021-08-16)For the evolution of a compressible fluid in spherical symmetry on a Schwarzschild curved background, we design a class of well-balanced numerical algorithms up to third-order accuracy. We treat both the relativistic ... -
Pseudospectral Roaming Contour Integral Methods for Convection-Diffusion Equations
(SPRINGER, 2021-09-07)We generalize ideas in the recent literature and develop new ones in order to propose a general class of contour integral methods for linear convection–diffusion PDEs and in particular for those arising in finance. These ... -
On a general metric condition in fixed point theory
(2022-04-25)The purpose of this talk is to present some new fixed point results for singlevalued and multivalued orbital (graph) contractions in complete metric spaces. We will consider existence results, as well as some stability ... -
Cesàro-like operators acting on spaces of analytic functions
(Springer, 2022-04) -
A Bayesian Solution to the Behrens-Fisher problem
(Springer, 2021-07)A simple solution to the Behrens–Fisher problem based on Bayes factors is presented, and its relation with the Behrens–Fisher distribution is explored. The construction of the Bayes factor is based on a simple hierarchical ... -
Ergodic theorems for Cesàro bounded operators in L1
(Elsevier, 2022) -
Algoritmos eficientes para convoluciones adaptados a las aplicaciones
(2022)Proponemos algoritmos para la aproximacion de determinadas ecuaciones integrales de Volterra relevantes en las aplicaciones, que consiguen minimizar el coste computational, comprimir la memoria y son faciles de implementar. ... -
Modelado y simulación de procesos sedimentarios en aguas someras
(UMA Editorial, 2021-05-12)En esta tesis se deduce un modelo matemático de tipo aguas someras para el transporte de sedimentos sin hacer uso de la hipótesis de Boussinesq. Dicho modelo es resuelto de forma numerica mediante un esquema robusto y ... -
Operadores de superposición actuando entre espacios de funciones analíticas
(UMA Editorial, 2021-02-23)En esta Tesis se estudia la acción de operadores de superposición y operadores de superposición ponderados entre distintos espacios de funciones holomorfas en el disco unidad del plano complejo.