AM - Artículos
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High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties
(Elsevier, 2022-12-27)In this paper, we are interested in the numerical study of the one-dimensional blood flow model with discontinuous mechanical and geometrical properties. We present the mathematical model together with its nondimensional ... -
Some quantitative one-sided weighted estimates
(Elsevier, 2022-12-20)We show a link between affine differential geometry and null submanifolds in a semi-Riemannian manifold via statistical structures. Once a rigging for a null submanifold is fixed, we can construct a semi-Riemannian metric ... -
Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system
(Elsevier, 2022-12-25)In this paper we consider the Lagrange-Projection technique in the framework of finite volume schemes applied to the shallow water system. We shall consider two versions of the scheme for the Lagrangian step: one fully ... -
One-sided Cp estimates via M# function.
(Cambridge, 2022-07-04)We recall that w ∈ C+p if there exist " > 0 and C > 0 such that for any a < b < c with c − b < b − a and any measurable set E ⊂ (a, b), the following holds. This condition was introduced by Riveros and de la Torre as a ... -
Operators induced by radial measures acting on the Dirichlet space
(Springer, 2023)Let D be the unit disc in the complex plane. Given a positive finite Borel measure μ on the radius [0, 1), we let μn denote the n-th moment of μ and we deal with the action on spaces of analytic functions in D of the ... -
Orbital debris and the market for satellites
(Elsevier, 2023)This paper studies the economic consequences of orbital debris for commercial outer-space activities. Spacecraft launches and other outer-space human activities produce pollution (i.e., orbital debris), which represent a ... -
Cesàro-type operators associated with Borel measures on the unit disc acting on some Hilbert spaces of analytic functions
(Elsevier, 2023)Given a complex Borel measure μon the unit disc D={z∈C:|z| <1}, we consider the Cesàro-type operator Cμdefined on the space Hol(D)of all analytic functions in Das follows: If f∈Hol(D), f(z) = ∞n=0anzn(z∈D), then Cμ(f)(z) ... -
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
(Elsevier, 2022-09-30)The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-volume numerical methods for 1D systems of balance laws. The strategy introduced by two of the authors in some previous papers ... -
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 ... -
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 ... -
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 ...