Results 31 to 40 of about 2,183,872 (273)
Mathematical Methods in the Applied Sciences, Volume 46, Issue 1, Page 1178-1184, 15 January 2023., 2023 In this paper, we discuss the study of some signal processing problems within Bayesian frameworks and semigroups theory, in the case where the Banach space under consideration may be nonseparable. For applications, the suggested approach may be of interest in situations where approximation in the norm of the space is not possible.
Natasha Samko, Harpal Singh
wiley +1 more source
Spatial modeling of crime dynamics: Patch and reaction–diffusion compartmental systems
Mathematical Methods in the Applied Sciences, EarlyView., 2023 We study the dynamics of abstract models for crime evolution. The population is divided into three compartments, taking into account the participation in crime and incarceration. Individuals transit between the three segments, assuming that having more contact with criminally active people increases one's risk of learning and acquiring the same traits;
Julia Calatayud +2 more
wiley +1 more source
Estimating and pricing commodity futures with time‐delay stochastic processes
Mathematical Methods in the Applied Sciences, EarlyView., 2023 In commodity futures pricing models, the commodity present price is generally considered to reflect all information in the markets and past information is not regarded important. However, there is some empirical evidence that shows that this fact is unrealistic. In this paper, we consider some stochastic models with delay for pricing commodity futures.
Lourdes Gómez‐Valle +1 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView., 2023 This contribution aims at studying a general class of random differential equations with Dirac‐delta impulse terms at a finite number of time instants. Our approach directly addresses calculating the so‐called first probability density function, from which all the relevant statistical information about the solution, a stochastic process, can be ...
Vicente J. Bevia +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView., 2023 The simulation of seismic wave propagation generally requires dealing with complex tridimensional geometries that are irregular in shape and have non‐uniform properties, features that make the application of the generalized finite difference method in this field interesting. This work continues the extensive developments by the research team focused on
Jesús Flores +4 more
wiley +1 more source
A bounded dynamical network of curves and the stability of its steady states
Mathematical Methods in the Applied Sciences, EarlyView., 2023 In this article, we study the dynamic behavior of a network that consists of curves that are in motion and bounded. We first focus on the construction of the model which is a system of nonlinear partial differential equations (PDEs). This system is subject to four conditions: angle and intersection conditions between the curves at the point that they ...
Ioannis Dassios +2 more
wiley +1 more source
Optimal deployment of indoor wireless local area networks
Networks, Volume 81, Issue 1, Page 23-50, January 2023., 2023 Abstract We present a two‐phase methodology to address the problem of optimally deploying indoor wireless local area networks. In the first phase, we use Helmholtz's equation to simulate electromagnetic fields in a typical environment such as an office floor.
Antoine Oustry +4 more
wiley +1 more source
Numerical Linear Algebra with Applications, Volume 30, Issue 1, January 2023., 2023 Abstract Considering the space‐time adaptive method for parabolic evolution equations we introduced in Stevenson et al., this work discusses an implementation of the method in which every step is of linear complexity. Exploiting the tensor‐product structure of the space‐time cylinder, the method allows for a family of trial spaces given as spans of ...
Raymond van Venetië, Jan Westerdiep
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Numerical Linear Algebra with Applications, Volume 30, Issue 1, January 2023., 2023 Abstract In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B‐spline collocation method. For an arbitrary polynomial degree p$$ p $$, we show that the resulting coefficient matrices possess a Toeplitz‐like structure. We investigate their spectral properties via their symbol and we prove that, like for
Mariarosa Mazza +3 more
wiley +1 more source
On the geometry of lambda-symmetries, and PDEs reduction [PDF]
J. Phys. A 37 (2004), 6955-6975, 2004 We give a geometrical characterization of $\lambda$-prolongations of vector fields, and hence of $\lambda$-symmetries of ODEs. This allows an extension to the case of PDEs and systems of PDEs; in this context the central object is a horizontal one-form $\mu$, and we speak of $\mu$-prolongations of vector fields and $\mu$-symmetries of PDEs.
arxiv +1 more source