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We analyze a second-order accurate implicit-symplectic (IMSP) scheme for reaction-diffusion systems modeling spatiotemporal dynamics of predator-prey populations. We prove stability and errors estimates of the semi-discrete-in-time approximations, under positivity assumptions. The numerical… |
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We present a multi-layer mathematical model to describe the transdermal drug release from an iontophoretic system. The Nernst-Planck equation describes the basic convection-diffusion process, with the electric potential obtained by solving the Laplace's equation. These equations are complemented… |
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The approximation of a function affected by noise in several dimensions suffers from the so-called "curse of dimensionality". In this paper a Fourier series method based on regularization is developed both for uniform and random design when a restriction on the complexity of the curve such as… |
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A priori estimates for solutions to homogeneous Neumann problems for uniformly
elliptic equations in open subsets of R^n are established, with data in the limiting space L^{n\2}
or, more generally, in the Lorentz spaces L^{n\2, q}(\Omega). These estimates are optimal as far as either
constants or… |
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Background: Molecular pathways represent an ensemble of interactions occurring among molecules within the cell and between cells. The identification of similarities between molecular pathways across organisms and functions has a critical role in understanding complex biological processes. For the… |
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An intraguild predator-prey model with
a carrying capacity
proportional to the biotic resource, is generalized by introducing a
Holling type II functional response.
The longtime behaviour of solutions is analyzed and, in particular, absorbing sets in the phase space are determined.
The… |
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The gravitational field of a static body with the quadrupole moment is described by an exact solution found by Erez and Rosen. Here, we investigate the role of the quadrupole in the motion, deflection and lensing of a light ray in the above metric. The standard lensing observables such as image… |
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We consider a model for supply chains governed by partial di®eren-
tial equations. The mathematical properties of a continuous model are
discussed and existence and uniqueness is proven. Moreover, Lipschitz
continuous dependence on the initial data is proven. We make use of
the front tracking… |
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The aim of this work is to propose a fast and reliable algorithm for computing
integrals of the type
$$\int_{-\infty}^{\infty} f(x) e^{\scriptstyle -x^2 -\frac{\scriptstyle 1}{\scriptstyle x^2}} dx,$$
where $f(x)$ is a sufficiently smooth function, in floating point arithmetic.
The algorithm… |
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We simulate the two-dimensional fluid flow around National Advisory Committee for Aeronautics (NACA) 0012 airfoil using a hybrid lattice Boltzmann method (HLBM), which combines the standard lattice Boltzmann method with an unstructured finite-volume formulation. The aim of the study is to assess… |
